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Master's Theses Graduate College
12-1995
A Study on the Causes of Variations in Transmissivity and A Study on the Causes of Variations in Transmissivity and
Storativity During Pump Tests at Asylum Lake Storativity During Pump Tests at Asylum Lake
Paul Joseph Pare
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A STUDY ON THE CAUSES OF VARIATIONS IN TRANSMISSIVITY AND STORATIVITY DURING
PUMP TESTS AT ASYLUM LAKE
by
Paul Joseph Pare
A Thesis Submitted to the
Faculty of The Graduate College in partial fulfillment of the
requirements for the Degree of Master of Arts Department of Geology
Western Michigan University Kalamazoo, Michigan
December 1995
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A STUDY ON THE CAUSES OF VARIATIONS IN TRANSMISSIVITY AND STORATIVITY DURING
PUMP TESTS AT ASYLUM LAKE
Paul Joseph Pare, M.S.
Western Michigan University, 1995
Over a two year period, Western Michigan University
ran a number of pump tests in the Asylum Lake Area in
Kalamazoo, Michigan. The transmissivities and stor-
ativities calculated from these tests differed signifi
cantly from well to well in any particular test, and from
pump test to pump test. Utilizing the computer programs
AQTESOLV 3.0 and Aquifer Parameter Estimator, a number of
T and S values were calculated. After analysis of the
results, the following conclusion was drawn. The main
reason for the deviations in the T and S values arose
from the mixing of the results of numerous methods (some
of which were confined aquifer methods). The aquifer
that was affected by the pump test is an unconfined
aquifer, which required an unconfined analysis method in
order to get results within reasonable limits.
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ACKNOWLEDGMENTS
I would like to acknowledge the assistance of my
committee: Dr. Duane Hampton, Dr. Alan Kehew, and Dr.
William Harrison, III. I would also like to thank the
Western Michigan University Geology Department, and most
in particular Richard Laton, Heidi Wines, William Sauck,
and Beverly Britt, who has assisted me in many ways.
Finally I would like to thank Dr. Michael Kasenow, who
has been a friend and mentor throughout this entire
process.
I would also like to thank my family: Annette Pare,
my mother, Joseph Pare, my father, and Ann-Marie Pare, my
sister for all their support and assistance both in this
endeavor and in all my past endeavors that have brought
me to this point. Finally, I would like to thank Jenna
Irwin for being there on the darker days of this project.
I would also like to thank: WMU Hydrogeological
Field camps of 1993 and 1994.
Paul Joseph Pare
ii
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Copyright by Paul Joseph Pare
1995
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TABLE OF CONTENTS
ACKNOWLEDGEMENTS......................................... ii
LIST OF TABLES........................................... vi
LIST OF FIGURES......................................... vii
CHAPTER
I. INTRODUCTION ....................................... 1
Thesis Statement ................................ 1
Overview ......................................... 1
Short History of Hydrogeology and Pump Tests . . 2
Location ......................................... 7
Lithology ....................................... 7
Well Design/Configuration ...................... 8
II. METHODOLOGY ......................................... 9
Test Specifications ............................ 9
Computer Programs Used in Analysis ............. 9
E q u a t i o n s ..................................... 10
T h e i s ....................................... 11
Jacob-Cooper .............................. 11
R e c o v e r y .................................. 11
Aquifer Parameter Estimator ................. 12iii
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Table of Contents -- Continued
CHAPTER
Theis-z(u) Time-drawdown Solution ........ 13
Regression Analysis Time-drawdown Solution. 13
Sensitivity Analysis... .................... 15
Recovery Analysis .......................... 15
III. R E S U L T S ......................................... 18
Previous Methods ............................ 18
Theis M e t h o d s ............................ 19
Neuman Methods ............................ 20
IV. D I S C U S S I O N ....................................... 29
Difficulties Involved in Each Pump Test . . . 29
July 1993 .................................. 29
August 1993 ................................ 30
June 1994 .................................. 30
August 1994 ................................ 30
Difficulties With the F l o w ................... 31
Development Concerns .......................... 32
Changes in Lithology .......................... 32
Miscellaneous Factors ........................ 33
V. CONCLUSIONS....................................... 35
iv
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Table of Contents -- Continued
APPENDICES
A. T and S Results From AL-1..........................36
B. T and S Results From AL-4.......................... 53
C. T and S Results From AL-18......................... 58
D. T and S Results From AL-27......................... 75
E. T and S Results From AL-28......................... 80
F. Site Map.............................................85
G. Well Configuration Diagrams.........................87
H. Well Log.............................................91
BIBLIOGRAPHY..............................................93
v
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LIST OF TABLES
1. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-1 for 1993.................................. 20
2. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-1 for 1994.................................. 21
3. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-4 for 1993 .................................. 22
4. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-4 for 1994.................................. 22
5. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-18 for 1993................................ 23
6. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-18 for 1994................................ 24
7. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-27 for 1994................................ 25
8. Transmissivity (gpd/ft) and Storativity ResultsFrom AL-28 for 1994................................ 26
9. Neuman Solution Transmissivity (gpd/ft) and Storativitiy Results From 1993(Compilation)......................................... 27
10. Neuman Solution Transmissivity (gpd/ft) and Storativitiy Results From 1994(Compilation)......................................... 28
vi
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LIST OF FIGURES
1. Theis Curve for Well AL-1 forJuly 1993........................................... 37
2. Jacob-Cooper Curve for Well AL-1 forJuly 1993........................................... 38
3. Neuman Method Curve for Well AL-1 forJuly 1993........................................... 39
4. Theis Recovery Curve for Well AL-1 forJuly 1993........................................... 40
5. Theis Curve for Well AL-1 forAugust 1993......................................... 41
6. Jacob-Cooper Curve for Well AL-1 forAugust 1993......................................... 42
7. Neuman Method Curve for Well AL-1 forAugust 1993......................................... 43
8. Theis Recovery Curve for Well AL-1 forAugust 1993......................................... 44
9. Theis Curve for Well AL-1 forJune 1994........................................... 45
10. Jacob-Cooper Curve for Well AL-1 forJune 1994.......................... •.................. 46
11. Neuman Method Curve for Well AL-1 forJune 1994........................................... 47
12. Theis Recovery Curve for Well AL-1 forJune 1994........................................... 48
vii
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List of Figures--Continued
13. Theis Curve for Well AL-1 forAugust 1994......................................... 49
14. Jacob-Cooper Curve for Well AL-1 forAugust 1994......................................... 50
15. Neuman Method Curve for Well AL-1 forAugust 1994......................................... 51
16. Theis Recovery Curve for Well AL-1 forAugust 1994......................................... 52
17. Theis Recovery Curve for Well AL-4 forJuly 1993........................................... 54
18. Theis Recovery Curve for Well AL-4 forAugust 1993......................................... 55
19. Theis Recovery Curve for Well AL-4 forJune 1994........................................... 56
20. Theis Recovery Curve for Well AL-4 forAugust 1994.............. 57
21. Theis Curve for Well AL-18 forJuly 1993........................................... 59
22. Jacob-Cooper Curve for Well AL-18 forJuly 1993........................................... 60
23. Neuman Method Curve for Well AL-18 forJuly 1993.............................. 61
24. Theis Recovery Curve for Well AL-18 forJuly 1993........................................... 62
25. Theis Curve for Well AL-18 forAugust 1993......................................... 63
viii
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List of Figures--Continued
26. Jacob-Cooper Curve for Well AL-18 forAugust 1993......................................... 64
27. Neuman Method Curve for Well AL-18 forAugust 1993......................................... 65
28. Theis Recovery Curve for Well AL-18 forAugust 1993......................................... 66
29. Theis Curve for Well AL-18 forJune 1994........................................... 67
30. Jacob-Cooper Curve for Well AL-18 forJune 1994........................................... 68
31. Neuman Method Curve for Well AL-18 forJune 1994........................................... 69
32. Theis Recovery Curve for Well AL-18 forJune 1994........................................... 70
33. Theis Curve for Well AL-18 forAugust 1994......................................... 71
34. Jacob-Cooper Curve for Well AL-18 forAugust 1994......................................... 72
35. Neuman Method Curve for Well AL-18 forAugust 1994......................................... 73
36. Theis Recovery Curve for Well AL-18 forAugust 1994......................................... 74
37. Theis Curve for Well AL-27 forAugust 1994......................................... 76
38. Jacob-Cooper Curve for Well AL-27 forAugust 1994......................................... 77
ix
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List of Figures--Continued
39. Neuman Method Curve for Well AL-27 forAugust 1994......................................... 78
40. Theis Recovery Curve for Well AL-27 forAugust 1994 .............................. 79
41. Theis Curve for Well AL-28 forAugust 1994......................................... 81
42. Jacob-Cooper Curve for Well AL-28 forAugust 1994......................................... 82
43. Neuman Method Curve for Well AL-28 forAugust 1994......................................... 83
44. Theis Recovery Curve for Well AL-28 forAugust 1994......................................... 84
45. Site Map.............................................. 86
46. West-East Well Configuration Cross-Section........... 88
47. South-North Well Configuration Cross-Section. . . . 89
48. Well Nest Configuration.............................. 90
49. Composite Well Log for Asylum Lake Area............. 92
x
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CHAPTER I
INTRODUCTION
Thesis Statement
The objective of this study is to determine the
reasons for the seemingly wide variance in the trans
missivities and the storativities which have been ob
served in four different pump tests conducted over two
years at the Asylum Lake study area during the Western
Michigan University hydrogeological field camps.
Overview
The following study deals with the analysis and
interpretation of four pump tests from the Lee Baker Farm
(near Asylum Lake) Western Michigan University Hydro-
geological study station in Kalamzaoo located off Drake
Road between its intersections with Parkview and Stadium
Drive. These pump tests were run in Spring 1993 (July
13-16), Summer 1993 (August 24-27) , Spring 1994 (June
21-24), and Summer 1994 (August 1-6). The initial pur-1
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pose of these pump tests was to serve as field exercises
for the WMU Hydrogeological field courses. Pump tests
are used as a tool to determine the characteristics of an
aquifer; specifically, how readily water flows through
aquifers. This knowledge can be used in a variety of
ways, such as determining water availability for a munic
ipal well, the parameters used in designing a remediation
effort, etc. In this case, the pump test was being used
as an exercise to define the characteristics of the area
in a systematic way. Having data for multiple pump tests
in this area is an additional advantage, because it
allows a degree of reproducibility, along with determin
ing any temporal changes that may have occurred.
Short History of Hydrogeology and Pump Tests
The first person to integrate pump time and drawdown
data into a single analysis method was Charles Theis
(Theis, 1935). This allowed analysis of transient draw
down data to determine aquifer parameters. Previously, a
pump test had to be continued until the aquifer reached
steady-state conditions conditions (where recharge = dis-
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charge) in order to determine aquifer parameters. The
Theis solution method includes a number of equations and
a type-curve. A type-curve is a theoretical curve which
is fit to measured data points in order to determine ne
cessary information to plug into the Theis equations.
This method does require a number of assumptions (called
the Theis assumptions) in order for its results to be as
accurate as possible:
1. Discharge from the pumping well is instantaneous
with decline in pressure.
2. The well fully penetrates and is open through the
entire extent of the aquifer.
3. The well's radius is very small so that in the
well storage is negligible.
4. Flow to the well screen is radial, horizontal and
laminar.
5. The aquifer is homogeneous and isotropic.
6. Aquifer thickness is uniform.
7. The aquifer is horizontal and bounded above and
below by impermeable beds (aquifer is confined).
8. The aquifer remains saturated during the entire
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pumping test.
9. The aquifer is infinite (in areal extent, no
areal boundaries and thus, no recharge).
10. All water released from storage within the
aquifer comes from the cone of depression (the aquifer is
isolated from the overlying or underlying leaky aquifers,
local recharge, precipitation, irrigation, rivers, lakes,
and wetlands) (Kasenow, 1995) .
Two difficulties with the Theis method are: the
Theis method's curve matching technique has a strong sub
jective component to it and the curve matching is time/
labor intensive. In 1946, Jacob and Cooper created an
alternative method to the Theis curve. While it still
must meet the assumptions discussed above, its results
are obtained from fitting a straight-line through the
test data (usually the late-time data). The need for
using late-time data (or nearby observation wells) arises
from the fact that there is an additional assumption in
the Jacob-Cooper method. The benefits of using this
method include: (a) the straight-line analysis is less
subjective, (b) the time/labor is greatly reduced, and
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(c) this method can be applied to different wells simul
taneously, to one well over time, or both.
The disadvantages to obtaining aquifer parameters
using graphs are numerous, the largest being that it is
time consuming to create and there is a certain subjec
tivity in the actual construction and interpretation.
Therefore, Sheahan (Sheahan, 1967) created a method for
calculation of T and S without a Theis graph (but using
the Theis equations), therefore making the technique more
efficient. Using a list called the Z(u) list, Sheahan
developed a method to obtain u and W(u), needed for the
Theis equations. The difficulty involved was that it was
time consuming to do this method by hand, and it was not
until computers became more readily avaiable this method
was incorporated into a computer program. An adaption of
Sheahan's method was used in Aquifer Parameter Estimator.
The above discussion of pump test data analysis con
sidered only confined aquifer solutions. Although these
equations can be modified to simulate an unconfined sol
ution, they are not true unconfined aquifer solutions.
This makes the results suspect. One such solution was
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used this study, based on the work of Neuman (1974,
1975). He created a solution which would analyze delayed
yield behavior in an aquifer. The delayed yield effect
is caused by the aquifer pores dewatering during the test
(Bouwer, 1978). This causes the graph to become flat in
the middle, thereby deviating from the Theis curve.
Neuman essentially created a solution to match both parts
of the S-shaped curve produced by the pump test data on
log-log axes. The transmissivity and storativity can
then be obtained from curve matching and using the match
ed points in his equations.
Both Theis (Theis, 1935) and Jacob (Jacob, 1963)
created equations and graphs that allowed transmissivity
to be calculated using the data obtained as the wells
recover after the pump has been turned off. Both these
methods use the water level measurements as the wells re
cover, called residual drawdowns (or drawup), and these
points are plotted on graphs (both Theis and Jacob recov
ery techniques are straight line methods). In more re
cent times, Kasenow (1995) created a method allowing the
Theis equations to be implemented using a non-graphical
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technique. Kasenow's method allows the storage coeffi
cient to be obtained. While Kasenow was not the first
person to come up with such a method, he was the first to
implement it in a fashion which could be used quickly in
a non-graphical fashion.
Location
The pump tests were run on the Lee Baker Farm (near
Asylum Lake) Western Michigan University Hydrogeological
study station in Kalamazoo located off Drake Road between
its intersections with Parkview and Stadium Drive. The
aquifer pumped is an unconfined aquifer.
Lithology
In the study area, the soils at depths between 1 to
3 feet are a mixture of fine/medium sand, loamy soil, and
organics. From 3 feet down to a clay layer at 180 feet,
the aquifer consists of sand ranging from fine to medium
grained. From a number of wells installed in the area,
both lenses of very fine material (very fine sand to
almost silt) and coarse material (pebbles) have been
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8observed. These lenses appear random and non-uniform
throughout the area.
Well Design/Configuration
The site is during this study was configured with a
pumping well and four observation wells (Figure 47,
Appendix G). The pumping well is designated as AL-4; it
is a 5.25 inch diameter steel cased well installed by
cable tool rig. It is screened from 74 to 89 feet below
the surface, using a 10 slot stainless steel screen from
74 to 84 feet and a 15 slot stainless steel screen from
84 to 89 feet. The pump is a 5 horsepower Flint and
Walling submersible pump. The observation well AL-18 is
45.67 feet east of AL-4, and is screened from 55 to 70
feet (Figure 45, Appendix G). There are two observation
wells on the west side of AL-4. AL-1 is 23.75 feet from
AL-4 and is screened from 80 to 95 feet. AL-27 is 64.67
feet from AL-4 and is screened from 63 to 78. AL-28 is
52.75 feet north of AL-4 and is screened from 63 to 78
feet (Figure 46, Appendix G). All observation wells are
2 inch PVC wells, with 10 slot PVC screens.
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CHAPTER II
METHODOLOGY
Test Specifications
Four data sets were used in the analysis. The first
data set was collected in the Spring 1993 Hydrogeology
field camp. AL-1, AL-4, and AL-18 were used in the ana
lysis of the pump test. The pumping rate was 73.7 gal
lons per minute (gpm) over a 48 hour period. The Summer
1993 Hydrogeology field camp used AL-1, AL-4, and AL-18
in the analysis. The pumping rate was 77.3 gpm for 50
hours and 45 minutes. AL-1, AL-4, and AL-18 were used
for the Spring 1994 analysis; the test ran for 51 hours
and 30 minutes at a rate of 71 gpm. Finally, the Summer
1994 test analysis used AL-1, AL-4, AL-18, AL-27, and
AL-28. The pumping rate was 67.5 gpm for 97 hours.
Computer Programs Used in Analysis
The four sets of data were analyzed using both pump
test equations and recovery equations. Two computer pro-9
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10grams were used in the analysis of the data: Aquifer
Parameter Estimator 1.0-3.0 (APE) and AQTESOLV 2.0.
AQTESOLV 2.0 is published by Geraghty & Miller Modeling
Group and APE is published by Water Resources Publica
tions. The analysis with APE included: Jacob-Cooper Re
gression Analysis, Theis Sensitivity Analysis, Theis
Time-Drawdown Analysis, and Theis Recovery Analysis. In
the AQTESOLV program, the following analyses were used:
Jacob-Cooper time-drawdown analysis using visual curve
matching or statistical curve matching, Theis method
using visual curve matching and statistical curve match
ing, Neuman method (both visual and statistical curve
matching), and Theis recovery using both the curve match
ing and statistical options. The graphical results are
presented in Appendices A-E.
Equations
The following equations are the basic equations used
in the analysis of pump test data. The other equations
(presented later) are derivatives of these equations.
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Theis
Z (u) = s(l/2t)/s(t)
T = 144.6*Q*W(u)/s
S = uTt/1.8rA2 (Kasenow, 1995)
s = drawdown at time t = ft
T = transmissivity = gpd/ft
S = storage coefficient or specific yield = unitless
Q = pump rate = gpm
W(u) = Theis parameter
u = Theis parameter = rA2*S/(4*T*t)
r = observation well distance = ft
Jacob-Cooper
T = (264*Q)/As
S = (0.3*T*t(o))/rA2
As = slope of straight line data fite over one log cycle = ft
t(o) = time of zero drawdown on straight line = min
Recovery
T = 264*Q/(As') = 114.6*Q/s1*ln(t/t1) (Kasenow, 1995)
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12
As'= slope (rise over one log cycle) of residual drawdown = ft
t = time duration of pumptest + residual time = min
t '= residual time = time since pumping ceased = min
s ' = residual drawdown
Aquifer Parameter Estimator
The program APE, Aquifer Parameter Estimator, is a
groundwater analysis program based on the work of prior
hydrogeologists, with further developments by Michael
Kasenow (Kasenow, 1995) . The version published in 1993
and further embellished versions were used throughout
this study. It has modules that can handle anything from
steady-state data to pumping well data to observation
well data, using a variety of methods and techniques.
The main solutions used were: a Theis-z(u) time-drawdown
method, a regression analysis time-drawdown method, a
sensitivity analysis method, and a Theis-Z(u) recovery
and regression analysis method for observation well data.
Pumping well data sets were analyzed using a Theis-Z(u)
recovery and regression analysis solution.
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13Theis-z(u) Time-drawdown Solution
This method uses time-drawdown data, calculating a
transmissivity and a storativity for each point. This is
accomplished using the equation
Z(u) = s(l/2t)/s(t) (Kasenow, 1995)
The power of this equation lies in the fact that this
value has been calculated, it is related to the list of u
and W(u) values which are part of Theis' equations. This
list is searched and an interpolated matched u and W(u)
are found. T and S are then calculated for this particu
lar data point. These individual T and S values are then
averaged for a range of data points. The information
output to the user includes a the list of these T and S
values, along with the slope at each point. One can use
the slope, T, and S values to look for trends, and there
by take only a select interval of points to calculate
one's final T and S values.
Regression Analysis Time-drawdown Solution
This takes time-drawdown data and uses a least-
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squares statistical approach to determine the T and S
values. The following equations are used obtain the
needed information to calculate T and S.
m = [n(EXY) - (Ex)(EY)] /[n(EX*2) - (EX)*2]
b = [ (EY) (EX*2) - (EX) (EXY) ] /[ n(EX*2) - (EX)*2]
m = slope of least-squares line fit through the data = ft
n = # of data points
b = y-intercept = ln(t(o))
EX = summation of the natural log of the times
EY = summation of the drawdowns = ft
EX'*2 = summation of the square of the natural log of the times
EXY = EX * EY
With these variables, T and S can be calculated using the
equations
T = Q / (4) (P) (m)
S = [2.25 (T) / r*2] [Exp [(-4) (P) (T) (b) / Q] ](Khan,1982)
Q = discharge = gpm
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r = observation well distance = ft
It is also possible to calculate the correlation coeffi
cient, R. R is a guage of the adequacy of the line fit.
The value of R approaches 1.0 as the line fit approaches
perfection. The equation for R is:
R = [n(EXY) - (EX)(lY)] /{[n(EXa2) - (EX)A2] [n(EYA2) - (EY)a2]}aM
EYa2 = summation of the drawdowns squared = ftA2
Sensitivity Analysis
In this approach, a preliminary T and S are cal
culated and then these values are slowly changed by minor
increments, until both of them (simultaneously) fit with
in certain tolerance limits.
Recovery Analysis
This method uses residual drawdown data and a number
of unique equations to calculate T and S. The following
equations are used in order to calculate T and S.
T = (114.6*Q)*s'*ln(t/t')
m = (264) (Q) / T
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t (o) 1 = - [s(off) + { (m) (log(t/t'))} - s'] / m
S = (0.3) (T) (t(o) 1) / r A 2 (Ulrick and Associates, 1989)
Q = pumping rate = gpm
t ’ = time since pump was turned off = min
t = total time of pump test + t' = min
s 1 = residual drawdown = ft
m = slope of straight-line fit = ft
t(o)' = time of zero recovery = min
s(off) = drawdown when pump was turned off = ft
r = observation well distance = ft
Just as in the Theis Z(u) method, T and S are calculated
for each residual time-drawdown point. An average of
these T and S values is then calculated. It is possible
to take an interval of residual time-drawdown points, and
obtain the average T and S values from this. The inter-(
val is based on looking at a consistency in the slopes
calculated and upon the T and S values determined. This
solution method appears best because this data set does
not have the inherent error present in time-drawdown data
from the pumping phase; that is, data from the pumping
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phase has fluctuations caused by turbulence in the well,
oscillations in the well, and a plethora of other mechan
ical type variations.
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CHAPTER III
RESULTS
Previous Methods
Prior to this study, a consistent analysis of the
data from these pump tests had never been carried out.
During the field camps, the data was split among groups
who did the analysis in their own manner. Differences in
method occured, such as: entering the data differently
(for example, taking the drawdown when it first appears
versus when it appears last), using different computer
programs for different methods, using slightly different
numbers of observation well distances, using slightly
different numbers for pump rates, etc. None of these
differences, however, can account for the variance seen
from test to test, or from well to well. The most proba
ble reason for the differences is because methods used
were inapplicable to this situation. The analyses done
by the groups were mainly Theis methods, while this un
confined aquifer requires delayed-yield solutions. In18
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
19order to correct this problem, the Neuman method in
AQTESOLV 2.0 was used; both the analytical and the graph
ical aspects were utilized. The results (as shown in
Tables 9 and 10) showed better consistency from well to
well and from year to year than the Theis and/or Ja
cob-Cooper derived solutions.
Theis Methods
Variations in T and S were wide (Tables 1 through
8). At times the transmissivity or storativity are fair
ly close to one another from two different wells (or pump
tests), but the other parameter (T or S) is a great deal
different. The Theis (statistical) method for AL-18 for
Spring 93 and Summer 93, is one example. The T is of
similar magnitudes for the two, but the storativities
differ by a whole order of magnitude. The limitations of
the confined methods is apparent in the actual graphical
matches (Appendices A, B, C, D, and E). The most appar
ent ones occur is in the Theis curve matches. Most of
the matches only approximate half of the curve, indicat
ing a different solution was needed.
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20Table 1
Transmissivity (gpd/ft) and Storativity ResultsFrom AL-1 for 1993
Spring Summer
T S T S
APE
Regression 79986 .0076 85014 .0042Sensitivity 84162 .0029 85333 . 0026Theis-Zu 62775 .0348 89022 .0072Recovery-> Theis 67444 .0264 82046 .0040
Regression 67368 .0254 86242 .0030
AQTESOLV 2.0
Theis (g) 68354 . 0205 61600 .0300J-C (g) 65090 .0243 57895 .0386Recovery-> Theis (g) 52035 57722Neuman (g) 61966 .0306 62936 .0249Neuman (n) 61967 .0306 62904 .0249
g = graphical n = numerical
Neuman Methods
The matches of the Neuman curve (Appendices A
through E) are moderately close, and the results for
wells are within a similar range. The major exception is
Summer 1993 data, which shows highly suspect T and S val
ues.
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21Table 2
Transmissivity (gpd/ft) and Storativity ResultsFrom AL-1 for 1994
Spring Summer
T S T S
APE
Regression 95969 0044 75285 . 0011Sensitivity 99779 0014 75953 .0088Theis-Zu ----- ---- ----- -----Recovery-> Theis 86148 0069 78744 .0073
Regression 88525 0058 76401 .0081
AQTESOLV 2.0
Theis (g) 58484 0814 65036 .0263J-C (g) 59058 0753 59133 .0384Recovery-> Theis (g) 77757 50904Neuman (g) 55606 1039 65919 . 0244Neuman (n) 55471 1039 65918 .0243
g = graphical n = numerical
One indirect piece of support for using the Neuman method
for this aquifer is that T and S from data set to data
set vary much less. That is, a similar T shows a similar
S in many more cases using this method. The Neuman meth
od results are much closer to one another than with the
confined Theis-type solutions.
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22Table 3
Transmissivity (gpd/ft) and Storativity ResultsFrom AL-4 for 1993
Spring
T S
Summer
T S
APE
Recovery-> Theis 72203 ---- 72686 ----Regression 69466 ---- 74896 ----
AQTESOLV 2
Recovery->
.0
Theis (g) 46574 ---- 48739 -----
g = graphical
Table 4
Transmissivity (gpd/ft) and Storativity Results From AL-4 for 1994
Spring
T S
Summer
T S
APE
Recovery-> Theis 81753 ---- 65764 ----Regression 87492 ---- 68218 ----
AQTESOLV 2.0
Recovery-> Theis (g) 51508 ---- 46327 -----
g = graphical
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23Table 5
Transmissivity (gpd/ft) and Storativity ResultsFrom AL-18 for 1993
Spring Summer
T S T S
APE
Regression 85069 .0102 84737 .0211Sensitivity 64829 .0400 69064 .0455Theis-Zu 57619 .0712 68005 .0668Recovery-> Theis 78916 .0216 77747 .0333
Regression 84771 .0185 79052 .0322
AQTESOLV 2.0
Theis (g) 62591 .0500 55428 .0902J-C (g) 57324 .0642 83754 .0576Recovery-> Theis (g) 54297 46887Neuman (g) 58379 .0635 56839 .0770Neuman (n) 58377 .0616 56837 .0770
g = graphical n = numerical
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24
Table 6
Transmissivity (gpd/ft) and Storativity ResultsFrom AL-18 for 1994
Spring Summer
T S T S
APE
Regression 83343 .0301 56151 .0763Sensitivity 54622 .1626 52065 .1066Theis-Zu ----- ----- -----Recovery-> Theis 94373 .0226 72393 .0316
Regression 99247 .0208 74224 .0301
AQTESOLV 2. 0
Theis (g) 72253 .0589 59704 .0703J-C (g) 50032 .1650 54254 .0883Recovery-> Theis (g) 54157 ---- 53522 ----Neuman (g) 40930 .2500 51121 .0790Neuman (n) 45055 .2275 51055 .0799
g = graphical n = numerical
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25Table 7
Transmissivity (gpd/ft) and Storativity ResultsFrom AL-27 for 1994
Spring Summer
T S T S
APE
Regression Sensitivity Theis-Zu Recovery-> Theis
Regression
----- -----9521070123
6919676083
.0201
.0753
.0946
.0828
AQTESOLV 2.0
Theis (g)J-C (g)Recovery-> Theis (g) Neuman (g)Neuman (n)
----- -----
6485365111536725924162439
.0861
.0762
.1000
.0936
g = graphical n = numerical
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26Table 8
Transmissivity (gpd/ft) and Storativity ResultsFrom AL-28 for 1994
Spring Summer
T S T S
APE
Regression Sensitivity Theis-Zu Recovery-> Theis
Regression----- -----
7915772678
7439378147
.0207
.0372
.0356
.0320
AQTESOLV 2.0
Theis (g)J-C (g)Recovery-> Theis (g) Neuman (g)Neuman (n)
----- -----
7154267363524666473262472
. 0349
.0391
.0500
.0476
g = graphical n = numerical
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Table 927
Neuman Solution Transmissivity(gpd/ft) and StorativityResults From 1993 (Compilation)
Spring Summer
T S T S
AL-1
Neuman (g) 61966 .0306 62936 .0249Neuman (n) 61967 .0306 62904 . 0249
AL-18
Neuman (g) 58379 .0635 56839 .0770Neuman (n) 58377 .0616 56837 .0770
g = graphical n = numerical
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28Table 10
Neuman Solution Transmissivity (gpd/ft) and StorativityResults From 1994(Compilation)
Spring Summer
T S T S
AL-1
Neuman (g) 55471 .1039 65919 .0244Neuman (n) 55606 .1039 65918 .0243
AL-18
Neuman <g> 40930 .2500 51121 .0790Neuman (n) 45055 .2275 51055 .0799
AL-27
Neuman (g) 59241 .1000Neuman (n) 62439 .0936
AL-28
Neuman (g) 64732 .0500Neuman (n) 62472 .0476
g = graphical n = numerical
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CHAPTER IV
DISCUSSION
The variances in transmissivity and storativity had
a number of different causes. These causes included:
previous methods of analysis were insufficient, oscilla
tion of the pump, the flow meter worked improperly, lack
of development of the pumping and observation wells, and
minor changes in lithology in the subsurface.
Difficulties Involved in Each Pump Test
July 1993
There were a number of difficulties encountered
during this field session. During this time period it
rained intermittently for both pumping and recovery
phases. This could lead to errors in two ways. First,
there could have been some recharge present from the rain
and second, the rain makes measuring water levels diffi
cult. The pumping rate also fluctuated from 69 gpm to 74
gpm, which could lead to errors in the results.29
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August 1993
During this session, the pumping rate varied from 74
gpm to 78 gpm. Normal human errors were involved, such
as different people reading the water levels slightly
differently, darkness makes taking water level measure
ments at night difficult, and a variety of other diffi
culties .
June 1994
During this pump test the pump oscillated by an
increasing amount (in comparison to previous years),
ranging from 65 gpm to 72 gpm. There were large quanti
ties of rain during the recovery period, which leads to
both human errors and possibly aquifer recharge errors.
In addition, no data were obtained from AL-27 since it
required developing in the middle of the pump test.
August 1994
It rained during the pump test, but to a lesser deg
ree than in previous years. The pump again oscillated
during this pump test, to approximately the same degree
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as in the previous pump test, ranging from 64 gpm to 70
gpm. In addition, the students were running two pump
tests. This required the water level measurements needed
to be taken in a quicker succession and the measurements
were taken with different water level meters. In past
pump tests dedicated meters were used to avoid mechanical
error associated with using different meters.
Difficulties With the Flow
One difficulty involved in any pump test is trying
to keep the pump running as steady as possible, in order
to assure a consistent pump rate. In order to use the
solutions used in this study one must have a constant
pumping rate (Kasenow, 1995). Unfortunately, the pump
rate varied during all the pump tests. While this is not
the largest factor involved in the variances of T and S,
the pump rate is very important in their determination.
As such, variances in the pump rate could cause inconsis
tences in the data obtained. Combined with the factors
already discussed, this could explain the variances from
test to test. This however, does not explain the vari
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32ances seen from well to well in a single test.
Development Concerns
The pumping well was installed with a cable tool
rig, observation well AL-1 was installed using hollow
stem auger, and the other observation wells were in
stalled with mud rotary. All disturb the formation as
they are installed, but most dramatically mud rotary.
Mud rotary clogs the formation around the bore hole,
leading to a alteration in the true lithology of the for
mation. The pumping well and the observation well may
also have been developed differently from each other and/
or insufficiently. Any of these factors could lead to
differences in the T and S values within the same pump
test or different tests.
Changes in Lithology
Overall at the site, the lithology stays fairly
constant. Observation well AL-1 was drilled using the
hollow stem auger technique, with a large number of split
spoon samples being taken (Figure 48, Appendix H). These
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samples (along with others taken from wells drilled at
the site) indicate the lithology is mainly a fine-grained
sand, with lenses of gravel or very fine sand or silt.
Therefore, while the material varies to a minor extent,
the actual lateral variation in the area is fairly small.
One cavet should be made to the above statements. Three
of the observation wells were drilled with mud rotary
techniques, and the non split spoon samples seem to have
sluff (material falling from above the drill bit) mixed
in. The split-spoon samples are few and far between (be
cause taking split spoon samples with a mud rotary rig is
difficult); therefore the characterization of these wells
is rather uncertain. Gamma-ray logs are available from
the Department of Geology, which could give further de
tailed information about the lithology of these particu
lar wells.
Miscellaneous Factors
During the pump tests discused it did indeed rain
(sometimes quite heavily). This is probably not a major
factor since the water table is approximately 60 feet be
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low the surface and this soil would not have allowed such
quick recharge (the pump tests did not last long). One
piece of additional proof is the control well (AL-11) did
not show any rapid fluctuation during or after these
rains (therefore this indicates our test should not have
been affected by the rain). One.possible recharge point
could be our discharge hose. An attempt was made to keep
the hose as far from the pumping well as possible, but
resources are finite. If this was a factor in our vari
ances, it was a very minor one (since AL-18, the well
closest to the discharge hose, did not show extreme chan
ges in water level measurements). Finally, these data
were collected by a class containing inexperienced peo
ple. Therefore, human error is always a distinct possi
bility in such circumstances.
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CHAPTER V
CONCLUSIONS
The conclusion of this study is: by using the
Neuman method discussed in the study, the variations seen
in the past can be lessened from several orders of magni
tude to within one order of magnitude. Methods which
assume an unconfined aquifer do not give correct T and S
values. The graphs (Appendices A thru E) pictorally show
the solutions failures, particulary Theis curves pre
sented. There were other minor difficulties. The pump
ing rate was not constant during the pump tests, which is
a requirement of the methods employed in this study. The
lithology does vary, therefore this can cause deviations
to be present in the T and S results. Finally, weather
and human error could have contributed to errors in the
water level measurements. With more careful field work,
a consistent pump rate, and the use of the Neuman (or
equivalent unconfined solution), the results could become
even more consistent.
35
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Appendix A
T and S Results From AL-1
36
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e•§
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1.
0.1
DATA SET: msposp.aot02/06/98AQUIFER MODEL:ConflnadSOLUTION METHOD:TTniiTEST DATA:9 - 9.884 ft3/ain P - 23.78 ft rc- 0.8 ft *l\j- 0.8 ft b - 1. ftPARAMETER ESTIMATES: T - 6.346 ftz/aln 8 - 0.02081
0.1 1. 10. 100. Tim e (m in )
1000. 10000.u)
Figure 1. Theis Curve for Well AL-1 for July 1993.
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45
e0
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1. TTTTTT
0.8
0.6
0.4
0.2
0
DATA SET:N18P93P.AQT02/06/98AQUIFER MODEL: ConfinedSOLUTION METHOD: Cooptp-Jocob
TEST DATA;Q - 9.684 ftvaln r - 23.78 ft rc- 0.8 ft /r^- 0.8 ft b - 1. ftPARAMETER ESTIMATES:T - 8.043 ftZ/Bln 8 - 0.02428
0.1 1. 10. 100. 1000. 10000. Tim e (m in )
Figure 2. Jacob-Cooper Curve for Well AL-1 for July 1993.to00
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oTJ£uQ
1.
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M18P03P.A0U02/06/08AQUIFER MODEL: UnconfinadSOLUTION METHOD:NiuunTEST DATA:0 - 0.854 ft3/ain r - 23.78 ft b - IB. ft *PARAMETER ESTIMATES: T - 8.783 ftZ/«in 8 - 0.0018 8 y 0.03087 /» - 0.04090
0.1 1. 10. 100. Time (m in )
1000. 10000.
Figure 3. Neuman Method Curve for Well AL-1 for July 1993.LJVO
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DATA SET:M1SP93R.AQR06/30/99AQUIFER MODEL: ConfinedSOLUTION METHOD:Tholo RecoveryTEST DATA:Q - 9.894 ft3/ein r - 23.79 ft b - 1. ft *
PARAMETER ESTIMATES: T - 4.831 ft2/aln 8* - 1.717
*1. 10. 100. 1000. 10000. l.E +05Dimensionless Tim e, t / t " (m in)
O
u.o I I I IIIIM I I I I
_ 0.64
0 0.485uQ^ 0.32P•p•H01 0)P6 0.16
A
nrmi|—n i imi| -i i i imii .• •
V - *
Ill 1 I 11 Mill i i i mill 1.. 1.1.1U ll 1-1.1.111 111___ 1-1.111111
Figure 4. Theis Recovery Curve for Well AL-1 for July 1993.
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DATA SET:N18U93P.AQT06/30/98AQUIFER MODEL: ConfinedSOLUTION METHOD:The laTEST DATA:Q - 10.34 ft3/aln p - 23.78 ft rc- 0.5 ft rM- 0.8 ft b - 1. ftPARAMETER ESTIMATES:T - 5.719 ftz/«in 8 - 0.02999
*0.1 1. 10. 100. 1000. 10000.Time (m in)
Figure 5. Theis Curve for Well AL-1 for August 1993.
1
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1.
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■§
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1.6
1.2
0.8
0.4
0
DATA SET:H1SU93P.AQT06/30/98AQUIFER MOOEL:ConfinedSOLUTION METHOD: Cooper-JacobTEST DATA:Q - 10.34 ft3/eln r - 23.78 ft rc- 0.8 ft trH- 0.8 ft b - l. ftPARAMETER ESTIMATES:T - 8.378 ftVBln 8 - 0.03858
0.1 1. 10. 100. Time (m in)
1000. 10000.
Figure 6. Jacob-Cooper Curve for Well AL-1 for August 1993. to
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10.
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1.
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_"i i 111ui|— i 1111iii|— i i 111ui|—r ii i mi|— i 11 mu
ii iim i i 1111 i i m rnL i-i-i-i-im
DATA SET:M18U93P.AQU07/14/99AQUIFER MODEL: UnconflnadSOLUTION METHOD:NiuunTEST DATA:a - 10.34 ft3/aln r - 23.79 ft b - 19. ft 'PARAMETER ESTIMATES:T - 9.843 fts/ain 8 - 0.0008433 8y - 0.02488 A - 0.02609
0.1 1. 10. 100. Time (m in)
1000. 10000.
Figure 7. Neuman Method Curve for Well AL-1 for August 1993.u>
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DATA SET:M18U93R.AQR02/06/98AQUIFER MODEL:ConflnadSOLUTION METHOD:Thais RscovsryTEST DATA;Q - 10.34 ft9/ain r - i. ftb - 1. ft »PARAMETER ESTIMATES: T - 8.389 ftValn 8* - 2.908
"‘l. 10. 100. 1000. B 10000.Dimensionless Tim e, t / t " (m in)
Figure 8. Theis Recovery Curve for Well AL-1 for August 1993.
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42
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DATA SET:H1SP94P.AQT02/06/98AQUIFER MODEL: ConfinadSOLUTION METHOD:Thai*TEST DATA:Q - 9.493 ft3/«inP - 23.78 ftrc« 0.8 ft *PM- 0.8 ft b - i. ftPARAMETER ESTIMATES:T - 8.439 ftz/aln 8 “ 0.08136
0.1 1. 10. 100. Tim e (m in)
1000. 10000.
Figure 9. Theis Curve for Well AL-1 for June 1994.tn
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1. T I III TTTT1 I I 11 r i i in
0.8 -
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DATA SET:H1SP94P.AQT02/00/99AQUIFER MODEL:ConfinadSOLUTION METHOD: Coopor-JacobTEST DATA:Q - 9.493 ft9/ainP - 23.78 ftrc« 0.9 ft *Py“ 0.8 ft b - i. ftPARAMETER ESTIMATES: T - 8.483 ft Vain 8 - 0.07820
0.1 1. 10. 100. Tim e (m in)
1000. 10000.
Figure 10. Jacob-Cooper Curve for Well AL-1 for June 1994. a\
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DATA SET:N18P84P.AQU.02/06/99
i
AQUIFER MODEL: UnconflnadSOLUTION METHOD: NauaanTEST DATA;Q - 9.493 ft3/ain r - 23.79 ft b - 19. ft 'PARAMETER ESTIMATES: T - 9.19 ftz/aln 8 - 0.0026 8y - 0.1039
m 0.03493
0.1 1. 10. 100. Time (m in)
1000. 10000.
Figure 11. Neuman Method Curve for Well AL-1 for June 1994. 'j
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I
0.7
_ 0.56s
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•H03Q>0.14
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DATA SET:N18P94R.AQR02/06/99AQUIFER MODEL: ConfinedSOLUTION METHOD:Thole RecoveryTEST DATA;Q - 9.493 ft9/aln r - 1. ftb - l. ft vPARAMETER ESTIMATES: T - 7.219 ftVain 8’ - 1.266
1. 10. 100. 1000. 10000. Dimensionless Tim e, t / t " (m in )
Figure 12. Theis Recovery Curve for Well AL-1 for June 1994.00
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e•§
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DATA SET:N1SUQ4P.AQT02/06/99AQUIFER MODEL:ConfftnadSOLUTION METHOD:ThaftaTEST DATA;Q - 9.029 ft3/ain P - 23.79 ft P.- 0.9 ft vPw- 0.9 ft b - ft. ftPARAMETER ESTIMATES: T - 6.038 ftvaftn 8 - 0.0263ft
0.1 1. 10. 100. Tim e (m in)
1000. 10000.
Figure 13. Theis Curve for Well AL-1 for August 1994.VO
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DATA SET:M1SU94P.AQT06/30/98AQUIFER MODEL: Confinad SOLUTION METHOD: Coopar-Jacob TEST DATA:Q - 9.028 ft3/ain r - 23.78 ft rc- 0.8 ft *r„- o.s ft b - i. ftPARAMETER ESTIMATES:T -8.49 ft2/ain 8 - 0.03843
0.1 1. 10. 100. 1000. 10000.Time (m in)
U1oFigure 14. Jacob-Cooper Curve for Well AL-1 for August 1994.
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DATA SET:H1SU94P.AQU02/06/89AQUIFER MODEL: UnconfinadSOLUTION METHOD: NauaanTEST DATA:Q - 8.026 ft9/ain r - 23.78 ft b - IB. ftPARAMETER ESTIMATES: T **6.12 ftz/ain 8 - 0.000372 8y - 0.02436 /» - 0.04428
0.1 1. 10. 100. 1000. 10000.Tim e (m in)
X
1O
£uQ
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TTTT
Llilll
Figure 15. Neuman Method Curve for Well AL-1 for August 1994.
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DATA SET:N18U94R.AQR02/06/08AQUIFER MODEL: Confftnsd SOLUTION METHOD:Thais RscovsryTEST DATA:Q - 9.028 ftvain r - i. ftb - ft. ft *PARAMETER ESTIMATES: T - 4.728 ftVaftn 8* - 3.296
" l . 10. 100. 1000. 10000. l.E +05Dimensionless Tim e, t / t " (m in)
into
Figure 16. Theis Recovery Curve for Well AL-1 for August 1994.
Appendix B
T and S Results From AL-4
53
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OATA SET:M48P93R.AQR02/06/S8AQUIFER MODEL: Confinad SOLUTION METHOD:Thais RscovsryTEST DATA:Q - 0.684 ft9/ain r - l. ftb - 1. ft '/PARAMETER ESTIMATES: T - 4.324 ftVain .8* - 3.173
1. 10. 100. 1000. B 10000.Dimensionless Tim e, t / t " (m in ) Ln
Figure 17. Theis Recovery Curve for Well AL-4 for July 1993.
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I I I I Mil
0.64 -
0 0.48
SuQ13 0.32 P•iH01 0)05 0.16
■i . Y i m u i-i i ii i i.iiiuiL .1 i i i i . i i i
DATA SET:N4SU93R.AQR06/30/99AQUIFER MODEL: ConfinadSOLUTION METHOD:Thaia RacovaryTEST DATA:Q - 10.34 ft9/ain r - i. ftb - 1. ft *
PARAMETER ESTIMATES: T - 4.629 ftVain 8* - 3.022
1. 10. 100. 1000. 10000. Dimensionless Tim e, t / t " (m in )
Figure 18. Theis Recovery Curve for Well AL-4 for August 1993.inin
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■d•HTO0)P5
0.64 -
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0.
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DATA SET:M4SP04R.AQA06/30/09AQUIFER MODEL: ConfinadSOLUTION METHOD:Thais RacovaryTEST DATA:Q - 0.493 ft3/ain r - i. ftb ■ 1. ft *
PARAMETER ESTIMATES: T - 4.782 ftvain 8* - 3.418
1. 10. 100. 1000. 10000. Dimensionless Tim e, t /t * ' (m in)
Ol<n
Figure 19. Theis Recovery Curve for Well AL-4 for June 1994.
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DATA SET:N4SU94R.AQR06/30/99AQUIFER MODEL:ConfinadSOLUTION METHOD:Thai* RacovaryTEST DATA:Q - 9.029 ft9/ain r ■ l. ftb ■ 1. ft vPARAMETER ESTIMATES: T - 4.301 ftValn 8* - 2.907
'l. 10. 100. 1000. _ 10000.Dimensionless Tim e, t / t " (m in )
Figure 20. Theis Recovery Curve for Well AL-4 for August 1994.
Appendix C
T and S Results From AL-18
58
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DATA SET:M1BSP93P.AQT02/06/98AQUIFER MODEL: ConfinadSOLUTION METHOD: ThaisTEST DATA;Q - 9.884 fts/ain r - 48.67 ft rc- 0.8 ft rM- 0.8 ft
I 0.1•a.s;h ,
PARAMETER ESTIMATES: T - 8.ail ftvain S - 0.08001
0.010.1 1. 10. 100. 1000. 10000.Tim e (m in )
Figure 21. Theis Curve for Well AL-18 for July 1993.
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0.8 rTTTTT
0.64
0.48
a 0.32
0.16
m m0
DATA SET:M1BSPB3P.AQT02/00/09AQUIFER MOOEL: ConfinedSOLUTION METHOD: Coopor-JacobTEST DATA;Q - 9.094 ft9/Binr - 49.07 ftr_" 0.9 ft .*
0.9 ft b - 1. ftPARAMETER ESTIMATES: T - 9.322 ftz/ain 0 - 0.00424
0.1 1. 10. 100. 1000. 10000. Time (m in)
Figure 22. Jacob-Cooper Curve for Well AL-18 for July 1993. o\o
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I o.i»dS.a '
o.oi
DATA SET:M18SP93P.AQU02/06/99AQUIFER MOOEL: UnconflnodSOLUTION METHOD: NauianTEST DATA:Q - 9.894 ft3/aln I* - 49.67 ft b - 16. ftPARAMETER ESTIMATES: T - 9.42 ftz/ain 8 - 0.004 8y - 0.0639
- 0.718
0.1 1. 10. 100. Tim e (m in)
1000. 10000.o\
Figure 23. Neuman Method Curve for Well AL-18 for July 1993.
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DATA SET:M1BSP93R.AQR02/06/90AQUIFER MODEL:ConfinedSOLUTION METHOD:Ttwia RecoveryTEST DATA;Q - 9.B04 ftVHin r - i. ftb - 1. ft vPARAMETER ESTIMATES: T - 5.041 ftz/ain S' - 2.634
1. 10. 100. 1000. 10000. l.E +05Dimensionless Tim e, t / t " (m in )
Figure 24. Theis Recovery Curve for Well AL-18 for July 1993.
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DATA SET:M18SU93P.AQT02/00/88AQUIFER MODEL: Confined SOLUTION METHOD:ThoUTEST DATA;Q - 10.34 ft3/»in P - 48.67 ft rc- 0.8 ft IV» 0.8 ft b - 1. ftPARAMETER ESTIMATES:T - 8.140 ftvain 8 - 0.08024
0.1 1. 10. 100. 1000. 10000.Tim e (m in )
Figure 25. Theis Curve for Well AL-18 for August 1993.
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0.8
0.64
0.48
o
5 0.32uQ
0.16
r m r m r i m r m
I M i l .1 I . U I I I I f M i l l I I U . I I i i m m
DATA SET:N18SU93P.AQT02/06/99AQUIFER MODEL: ConfinedSOLUTION METHOD:Coopar-JacobTEST DATA:a - 10.34 ft3/«inr - 49.67 ftrc" 0.6 ft 'rM- 0.6 ftb - i. ftPARAMETER ESTIMATES:T - 9.919 ftValn 8 - 0.09798
0.1 1. 10. 100. Tim e (m in)
1000. 10000.
Figure 26. Jacob-Cooper Curve for Well AL-18 for August 1993.cr>
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AQUIFER MODEL: IJnconflntdSOLUTION METHOD: NeuaanTEST DATA:Q - 10.34 ft9/ain r - 45.67 ft b - 15. ft
I 0.1£uQ
PARAMETER ESTIMATES:T — K v n MS/b4ii
0.01B0.0770.2086
0.01 1000. 100000.1 1 10010Tim e (m in)
Figure 27: Neuman Method Curve for Well AL-18 for August 1993. m
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DATA SET:N1BSU93R.AQR02/06/95AQUIFER MODEL: Conflnsd SOLUTION METHOD:Thais RacovaryTEST DATA;Q - 10.34 ftvain r ■ i. ftb - i. ft *PARAMETER ESTIMATES:T - 4.353 ftvaln 8* - 3.014
' l . 10. 100. 1000. 10000. l.E +05Dimensionless Tim e, t / t " (m in )
Figure 28. Theis Recovery Curve for Well AL-18 for August 1993.
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DATA SET:N18SP94P.AQT02/06/98AQUIFER MODEL: Confined SOLUTION METHOD:TholoTEST DATA:0 - 9.493 ft3/aln r - 48.67 ft rc- 0.8 ft ■<rM- 0.8 ft b - l. ftPARAMETER ESTIMATES:T - 8.709 ftValn 8 - 0.08888
0.1 1. 10. 100. 1000. 10000.Time (m in)
o>-JFigure 29. Theis Curve for Well AL-18 for June 1994.
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0.7
0.56
& 0.42eo•a5 0.28hO
0.14
0.0.1 1. 10. 100. 1000. 10000.Time (m in )
Figure 30. Jacob-Cooper Curve for Well AL-18 for June 1994.
DATA SET:N18SP94P.AQT02/06/08AQUIFER MODEL:ConfinadSOLUTION METHOD:Coopar-JacobTEST DATA:Q - 0.403 ft3/«ln P - 48.67 ft rc- 0.8 ft l\J- 0.8 ft b - 1. ftPARAMETER ESTIMATES:T - 4.648 ftz/«in
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DATA SET:M18SP94P.AQU02/06/93AQUIFER MODEL:UnconfinadSOLUTION METHOD: Neuaan TEST DATA:Q - 9.493 ft9/ain r - 40.67 ft b - 10. ftPARAMETER ESTIMATES: T - 3.8 ft /ain 8 - 0.000991 8y - 0.20 A - 0.711
™ 0.1 1. 10. 100. 1000. 10000.Tim e (m in )
a\voFigure 31. Neuman Method Curve for Well AL-18 for June 1994.
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DATA SET:M18SP94R.AQR02/06/98AQUIFER MODEL:ConflnsdSOLUTION METHOD:Thais RscovaryTEST DATA:Q - 9.493 ft9/ain r • l. ft b - i. ftPARAMETER ESTIMATES: T - 8.028 ftValn 8* - 4.392
1. 10. 100. 1000. 10000.Dimensionless Tim e, t / t " (m in)
oFigure 32. Theis Recovery Curve for Well AL-18 for June 1994.
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e■§5uO
1.
0.1
0.01
0.001
DATA SET:M1BSU94P.AQT02/13/99AQUIFER MODEL:ConfinedSOLUTION METHOD:ThalaTEST DATA:9 - 9.029 fk3/Bln r - 49.67 ft rc- 0.9 ft » V 0.9 ft b - 1. ftPARAMETER ESTIMATEST - 9.943 ftValn 8 - 0.07029
0.1 1. 10. 100. Tim e (m in )
1000. 10000.
Figure 33. Theis Curve for Well AL-18 for August 1994.
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0.8
0.64
£ 0.48
GoS 0.32
0.16
0.0.1 1. 10. 100. 1000. 10000.Tim e (m in )
Figure 34. Jacob-Cooper Curve for Well AL-18 for August 1994.
DATA SET:M1B8U94P.AQT02/13/90AQUIFER MODEL: ConflnadSOLUTION METHOD: Coopar-JacobTEST DATA:Q - 9.020 ft9/ain r - 45.67 ft rc- 0.5 ft rM- 0.5 ft b - i. ftPARAMETER ESTIMATES:T - 5.037 ftz/ain 8 - 0.09832
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1. DATA SET:W1BSU94P.AQU 02/06/95
•V AQUIFER MODEL: UnconflnadSOLUTION METHOD:Nauaan
0.1 TEST DATA:Q - 9.025 ftVBin r - 45.67 ft
PARAMETER ESTIMATES:T - 4.74 ftVain 8 - 0.02213 8y - 0.079 A - 0.4612
« ' 0.01
0.0010.1 1. 10. 100. 1000. 10000.Tim e (m in )
UJFigure 35. Neuman Method Curve for Well AL-18 for August 1994.
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0.7
0.56 -
O 0.42 *uQg 0.283tj•Hm0)PS 0.14 -
1 X ill t 1 Mil LI.Ill I I I « I I « mill
DATA SET:M18SU94R.AQR02/13/98AQUIFER MODEL:ContInadSOLUTION METHOD:Thais RacovsryTEST DATA:Q - 9.028 ft3/ain p • l. ftb - 1. ft *
PARAMETER ESTIMATES:T - 4.989 ftValn 8* - 2.688
1. 10. 100. 1000. 10000. l.E +05Dimensionless Tim e, t / t " (m in )
Figure 36. Theis Recovery Curve for Well AL-18 for August 1994. •j
Appendix D
T and S Results From AL-27
75
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DATA SET:M278U94P.AQT02/06/MAQUIFER MODEL:ConfinsdSOLUTION METHOD:ThaisTEST DATA:Q - 9.029 ft3/aln r - 64.67 ft rc- 0.6 ft •
0.8 ft b - 1. ftPARAMETER ESTIMATES:T - 6.021 ftvaln 8 - 0.08606
0.1 1. 10. 100. 1000. 10000.Tim e (m in )
Figure 37. Theis Curve for Well AL-27 for August 1994.
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DATA SET:W278U94P.AQT02/06/90AQUIFER MODEL:ConfInadSOLUTION METHOD: Coopar-Jacob TEST DATA;Q - 9.020 ft9/ain P - 64.67 ft Pc- 0.8 ft jrM- 0.8 ft b - i. ftPARAMETER ESTIMATES: T - 6.045 ftz/«in 8 - 0.07618
vo .i l . 1 0 . ioo. iooo. ioooo.Time (m in )
Figure 38. Jacob-Cooper Curve for Well AL-27 for August 1994.
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I o.i»d5hQ
0.01
DATA SET:N27SU94P.AQU02/06/00AQUIFER MODEL: UnconfinadSOLUTION METHOD:NauaanTEST DATA:Q - 0.020 fts/aln P - 64.67 ft b - 16. ft *
PARAMETER ESTIMATES: T - 8.6 ftz/aln 8 - 0.0006948 8y - 0.1 A ■ 0.6014
0.1 1. 10. 100. Tim e (m in )
1000. 10000.
Figure 39. Neuman Method Curve for Well AL-27 for August 1994.<ioo
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DATA SET:M276U94R.AQR02/06/99AQUIFER MODEL:ConfInadSOLUTION METHOD: Thais Racovary TEST DATA-Q - 9.029 ft9/ain r - l. ftb - i. ft *PARAMETER ESTIMATES: T - 4.963 ftz/sin 8* - 1.676
V‘l . 10. 100. 1000. 10000. l.E +05Dimensionless Tim e, t / t " (m in )
Figure 40. Theis Recovery Curve for Well AL-27 for August 1994.
Appendix E
T and S Results From AL-28
80
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DATA SET:M28SU94P.AQT02/13/88AQUIFER MODEL:ConflnadSOLUTION METHOD:ThaisTEST DATA:Q - 9.028 ft3/aln r - 82.78 ft rc- 0.8 ft rM« 0.8 ft b - i. ftPARAMETER ESTIMATES: T - 6.642 ft2/aln 8 - 0.03494
0.1 1. 10. 100. 1000. 10000.Tim e (m in)
Figure 41. Theis Curve for Well AL-28 for August 1994.
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rm rm rm rm m mi
a 0.32
i 11ii i i m i I..I.II i i m m
DATA SET:M28SII94P.AQT02/13/98AQUIFER MODEL: ConfinadSOLUTION METHOD: Cooptr-JacobTEST DATA;Q - 9.028 ft3/«in r - 82.78 ft rc- 0.8 ft
0.8 ft b - 1. ft
. PARAMETER ESTIMATEST - 6.284 ftz/Bln 8 - 0.03907
10. 100. 1000. 10000. Tim e (m in)
Figure 42. Jacob-Cooper Curve for Well AL-28 for August 1994.00to
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DATA SET:N28SU94P.AQU02/13/99AQUIFER MODEL: UnconfinadSOLUTION METHOD:NauaanTEST DATA;Q - 9.020 ft3/ain P - 92.79 ft b - 19. ftI o.i
»d£uQ
PARAMETER ESTIMATES: T - 9.9 ftValn8 - 0.001747 Sy - 0.09 /» - 0.2824
0.010.1 1. 10. 100. 1000. 10000.Tim e (m in) oou>
Figure 43. Neuman Method Curve for Well AL-28 for August 1994.
Resid
ual
Draw
down
(f
t)
OATA SET:N28SU94R.AQR02/19/99AQUIFER MODEL: Confined SOLUTION METHOD:Tttele RecoveryTEST DATA:9 - 9.02 ft3/«in r - l. ftb - i. ft vPARAMETER ESTIMATES T - 4.871 ftz/eln 8* - 2.3
' l . 10. 100. 1000. 10000. l.E +05Dimensionless Tim e, t / t ” (m in )
Figure 44. Theis Recovery Curve for Well AL-28 for August 1994.
Appendix F
Site Map
85
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86
A s y l u n L a k e H y d r o logic R e s e a r c h P a r k
AsylumL a k e
a
Porkvipw AvpnueContour IntervQI 20 ft.500 500 1000 1500 ft.
Figure 45. Site Map.M itts
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Appendix G
Well Configuration Diagrams
87
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64.67'
AL-2723.75' 45.67'
AL-1 AL-4
10' [lO* HlWell Screen Water Table N
1
AL-18
63-78'80-95'
Lithology"SP"
^7 62'
74-89'55-70'
Clay Layer— 180'Figure 46. West-East Well Configuration Cross-Section.
COCO
89
do>Q>UuM
LU
GO
0)p—lAidHUa>■pid3=Df*
CO(M
]<)P-•
(NJin
0COrH1 Iu0>S'*idHCJ
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Figure
47.
South-North
Well Configuration
Cros
s-Se
ctio
n.
90
COHa ®
COCMI «SI£ $
1si®
a HHH
ts 3 § l 2
5 iQj ® E 101 - § <£o ft oJ rt ® ©
r-CM3 ©
0O•H•Pidu0
•HCm0oo•pCOa
£CO
0to■H(M
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Appendix H
Well Log
91
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92
Depth (ft)
AL-1A
12
24
AL-1B36
48
AL-27
60
72
AL-384
96 >-
U.S.C.S.
SP. SH
S p
S P
-S.E-
S P
JVery fine sands to silts ^Fine-grained sand ] Coarse sands and gravel
5-7’: 5 yr 4/4; brown; fine-grained sand;10 yr 4/4; very fine-grained sand with some silt10-12': 10 yr 5/4; yellowish-brown; finegrained sand with a little gravel15-17': 10 yr 5/4; yellowish-brown; finegrained sand20-22': 10 yr 5/4; yellowish-brown; finegrained sand25-27': 10 yr 5/4: yellowish-brown; finegrained sand with a little gravel
35-37': 10 yr 5/4; yellowish-brown; finegrained with a little fine-grained and some course-grained sand mixed in40-42': 10 yr 5/4; yellowish-brown; finegrained sand with more fines presents than prior samples45-47': 10 yr 4/2; dark yellowish-brown;fine-grained sand50-52': 10 yr 4/2; dark yellowish-brown;fine-grained sand with some finer material present58-60': 10 yr 5/4; yellowish-brown; finegrained sand with a few gravels present 63-65': 10 yr 5/4; yellowish-brown(slightly yellower); fine-grained sand with a few gravels present; some black mottling68-70': 10 yr 5/4; yellowish-brown; finegrained sand with a few gravels present; some black mottling73-75': 10 yr 5/4; yellowish-brown; finegrained sand with a few gravels present; some black mottling; a 4-5" course sand lens is present also78-80': 10 yr 5/4; yellowish-brown; finegrained sand with a few gravels present; some black mottling
89-91': 10 yr 5/4; yellow-brown; finegrained sand, with some very find-grained sand present
SM: Poorly graded very fine sand and silt SP : Poorly graded fine sandIntervals are 2 foot samples using split spoon sampling
Figure 49. Composite Well Log for Asylum Lake Area.
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BIBLIOGRAPHY
Ballukraya, P.N. and Sharma, K.K. (1991). Estimation of storativity from recovery data. Ground Water. 22(4), 495-498.
Barcelona, M.J. and Sauck, W.A. (1992). Long-termhydrogeological research and educational test site.The Institute for Water Sciences, v. 1-2.
Berg, A.V. (1975). Determining aquifer coefficients from residual drawdown data. Water Resources Research. 11(6), 1025-1028.
Bouwer, H. and Rice, R.C. (1978). Delayed Aquifer Yield as a Phenomenon of Delayed Air Entry. Water Resources Research. 11(6), 1068-1074.
Case, C.M., Pidcoe, W.W., and P.R. Fenske (1974). Theis equation analysis of residual drawdown data. Water Resources Research. 12(6).
Dawson, K.J. and J.D. Istok (1991). Aquifer Testing. Chelsea, Michigan: Lewis Publishers.
Driscoll, F.G. (1986). Groundwater and Wells. St. Paul, Minnesota: Johnson Division.
Fetter, C.W. (1988). Applied Hydrogeology (2nd ed.).New York: Macmillan Publishing.
Geraghty & Miller (1994). AOTESOLV 2.0. Geraghty and Miller Modeling Group, Reston, Virginia.
Jacob, C.E. (1963a). Determining the permeability ofwater-table aquifers. USGS Water Su p p Iv Paper 1563-1.
93
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
Jacob, C.E. (1963b). The recovery method for determining the coefficient of transmissibility. USGS Water Supply Paper 1563-1.
Kasenow, M. (1995). Introduction to Aquifer Analysis. Dubuque, Iowa: Wm. C. Brown Publishers.
Kasenow, M.C. and Pare, P.J. (1993). Aquifer parameter estimator 1.0. Dubuque, Iowa: Wm. C. BrownPublishers.
Khan, I.A. (1992). Determination of aquifer parameters using regression analysis. Water Resources Bulletin. 1£(2), 325-330.
Kruseman, G.P. and de Ridder, N.A. (1990) . Analysis and evaluation of pumping test data. International Institute for Land Reclamation and Improvement, Publication 47, Netherlands.
Lohman, S.w. (1972). Ground-water hydraulics. USGeological Survey Professional Paper 708.
Neuman, S.P. (1972). Theory of flow in unconfinedaquifers considering delayed response of the water table. Water Resources Research. 8 (4). 1031-1045.
Neuman, S.P. (1973). Supplementary comments on "Theoryof flow in unconfined aquifers considering delayed response of the water table." Water Resources Research. 9 (4). 1102-1103.
Neuman, S.P. (1974). Effect of partial penetration onflow in unconfined aquifers considering delayed gravity response. Water Resources Research. 10(2). 303-312.
Neuman, S.P. (1975). Analysis of pumping test data fromanisotropic unconfined aquifers considering delayed gravity response. Water Resources Research. 11(2). 329-342.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
95Neuman, S.P. (1979). Perspective on 'Delayed Yield'.
Water Resources Research. 15(4). 899-908.
Sheahan, N.T. (1967). A non-graphical method ofdetermining u and W(u) . Ground Wafer. 5.(2), 31-35.
Theis, C.V. (1935) . The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage. Transactions of the American Geophysical Union.15(2), 519-524.
Ulrick and Associates (1989). Sensitivity Analysis Program-PUMP. Berkeley, California.
Walton, W.C. (1962). Selected analytical methods for well and aquifer evaluation. Bulletin 49. Illinois State Water Survey.
Walton, W.C. (1988). Groundwater pumping tests.Chelsea, Michigan: Lewis Publishers.
Western Michigan University (Unpublished--1993-1994).Collection of data and reports created by the 1993 and 1994 Hydrogeology field camps.
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