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Analytical and numerical methods for nonlinear fluid flow problems in porous media

Liu, Wenchao

eBook Springer <editore> 2024

Abstract

This book investigates in detail the mathematical methods and computation methods in efficient solution of some open nonlinear seepage flow problems involved in engineering problems [...]. The introduced open nonlinear problems include nonlinear quadratic pressure gradient term problem, compressible gas seepage flow problem and low-velocity non-Darcy seepage flow problem. [...]
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Description *Analytical and numerical methods for nonlinear fluid flow problems in porous media / Wenchao Liu, Jun Yao, Weiyao Zhu. - Singapore : Springer, 2024. - 1 testo elettronico (xiii, 275 p. : ill.)
ISBN E-Book 9789819716357
Author
Liu, Wenchao
Coauthor
Yao, Jun
Zhu, Weiyao
Subjects 65M06 - Finite difference methods for initial value and initial-boundary value problems involving PDEs [MSC 2020]
65M60 - Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs [MSC 2020]
76-XX - Fluid mechanics [MSC 2020]
76Sxx - Flows in porous media; filtration; seepage [MSC 2020]
Parole chiave Deconvolution algorithm
Duhamel’s principle
Engineering applications
Exact analytical solution
Fractal theory
Gas flow in porous media
Mathematical Modeling
Mathematical physics
Moving boundary problem
Multi-stage fractured horizontal wells
Non-Darcy flow
Nonlinear seepage flow problem
Numerical solution
Partial Differential Equations
Quadratic pressure gradient term
Reservoir numerical simulation
Special functions
Threshold pressure gradient
Typical curve analysis of production data
Unconventional reservoirs
Publication place Singapore
Publisher Springer <editore>
Publication year 2024
Thesaurus 65M06
65M60
76-XX
76Sxx
Finite difference methods for initial value and initial-boundary value problems involving PDEs [MSC 2020]
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs [MSC 2020]
Flows in porous media; filtration; seepage [MSC 2020]
Fluid mechanics [MSC 2020]