Analytical and Numerical Methods for Nonlinear Fluid Flow Problems in Porous Media (eBook)

Wenchao Liu, Jun Yao, Weiyao Zhu (Autoren)

eBook Download: PDF

2024 | 1. Auflage
XIII, 275 Seiten
Springer-Verlag
9789819716357 (ISBN)

Infos

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. Developed engineering technologies and some relevant practical field applications are also provided. 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. Studies on these nonlinear seepage flow problems have attracted engineers and scientists from various disciplines, such as geo-energy engineering, civil and environmental engineering, fluid mechanics, applied mathematics and computation. In particular, the book systematically establishes a fundamental theory for a strongly nonlinear problem of low-velocity non-Darcy seepage flow from a new perspective of moving boundary, while emphasizing the usage of mathematical linearization transformation methods and computational methods into the analytical and numerical solution of the strongly nonlinear partial differential equations. Sufficient knowledge of mathematics is always introduced ahead of model solution to assist readers. And the procedure of strict formula deduction in the model solution process is provided in detail. High-solution figures and tables from model solution are rich in the book. Therefore, it is very helpful for the readers to master the nonlinear model solution methods and engineering technologies. The book is intended for upper undergraduate students and graduate students who are interested in engineering technology, fluid mechanics and applied mathematics, researchers and engineers working on geo-energy science and engineering and field applications.

Produkt-Details

• Erscheint lt. Verlag: 5.4.2024
• Zusatzinfo: XIII, 275 p. 106 illus., 94 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Bauwesen
• Schlagworte: 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
• ISBN-13: 9789819716357 / 9789819716357