Post on 29-Mar-2018
transcript
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Self-Study
Introduction to Laplace Transforms(Properties and Theorems)
Slide — 1
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Slide — 2
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Self-Study
Application of the Laplace Transform:Solution of Ordinary Differential Equations
Slide — 3
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Slide — 4
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Slide — 5
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U. Slide — 6
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Properties of the Laplace Transform: Piecewise Step Data Function
Slide — 7
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Properties of the Laplace Transform: Piecewise Linear Data Function
Slide — 8
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Properties of the Laplace Transform: Piecewise Linear Data Function
Slide — 9
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Properties of the Laplace Transform: Piecewise Linear Data Function
Slide — 10
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Properties of the Laplace Transform: Piecewise Power-Law Data Function
Slide — 11
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Properties of the Laplace Transform: Piecewise Power-Law Data Function
Slide — 12
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U. Slide — 13
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 14
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 15
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 16
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 17
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | t-blasingame@tamu.edu | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 18