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Lizeth Paola Barrero RiañoPetroleum EnginneringIndustrial University of
Santander2010
A mathematical model can be defined broadly, as a
formulation or an equation that expresses the essential
characteristics of a physical system or process in
mathematical terms. Its variables are obtained by
studying the physical laws that are involved in the process.
Overall, the model can be represented by the functional relationship of the form:
Dependent = f (independent variables, parameters, force functions )variables
Darcy's Law is a generalized relationship for flow in porous media. It shows the volumetric flow rate is a function of the flow area, elevation, fluid pressure and a proportionality constant. It may be stated in several different forms depending on the flow conditions..
Where:
Q = Volumetric flow rate (m3/s or ft3/s),A = Flow area perpendicular to L (m2 or ft2),K = Hydraulic conductivity (m/s or ft/s),l = Flow path length (m or ft),h = Hydraulic head (m or ft), andD = Denotes the change in h over the path L.
The hydraulic head at a specific point, h is the sum of the pressure head and the elevation, or
Where:
p = water pressure (N/m2, lb/ft2),r = water density (kg/m3),g = water specific weight (lb/ft3),g = acceleration of gravity (m/s2 or ft/s2), andz = elevation (m or ft).
h = (p/r g + z) Normal SI form of the equation__ h = (p/g + z)Usual form used with English units
CHAPRA, Steven. Métodos números para ingenieros. Third edition. McGraw-Hill Editorial. 2000
Article: Conceptos básicos de modelación matemática y simulación computacional de sistemas biológicos una herramienta útil para la docencia y la investigación. Authors: Alejandro Pelaez and Sergio Mejia. CES Odontología Magazine Vol. 3 No 1.2000
http://bioen.okstate.edu/Darcy/LaLoi/basics.htm