self-study introduction to laplace transforms … engineering 620 — fluid flow in petroleum...
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![Page 1: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/1.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | 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
![Page 2: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/2.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Slide — 2
![Page 3: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/3.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | 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
![Page 4: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/4.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Slide — 4
![Page 5: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/5.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Objectives: (things you should know and/or be able to do)
Slide — 5
![Page 6: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/6.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U. Slide — 6
![Page 7: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/7.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Properties of the Laplace Transform: Piecewise Step Data Function
Slide — 7
![Page 8: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/8.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Properties of the Laplace Transform: Piecewise Linear Data Function
Slide — 8
![Page 9: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/9.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Properties of the Laplace Transform: Piecewise Linear Data Function
Slide — 9
![Page 10: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/10.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Properties of the Laplace Transform: Piecewise Linear Data Function
Slide — 10
![Page 11: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/11.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Properties of the Laplace Transform: Piecewise Power-Law Data Function
Slide — 11
![Page 12: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/12.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Properties of the Laplace Transform: Piecewise Power-Law Data Function
Slide — 12
![Page 13: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/13.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U. Slide — 13
![Page 14: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/14.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 14
![Page 15: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/15.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 15
![Page 16: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/16.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 16
![Page 17: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/17.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 17
![Page 18: Self-Study Introduction to Laplace Transforms … Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform Tom BLASINGAME | t-blasingame@tamu.edu](https://reader034.vdocuments.mx/reader034/viewer/2022051508/5abc244e7f8b9a441d8db249/html5/thumbnails/18.jpg)
Petroleum Engineering 620 — Fluid Flow in Petroleum Reservoirs Math Lecture 5 — The Laplace Transform
Tom BLASINGAME | [email protected] | Texas A&M U.
Numerical Laplace Transform and Inversion
Slide — 18