LEADER 04127nam 22005895 450 001 9910847584903321 005 20240406130215.0 010 $a981-9716-35-7 024 7 $a10.1007/978-981-97-1635-7 035 $a(MiAaPQ)EBC31253959 035 $a(Au-PeEL)EBL31253959 035 $a(CKB)31428322000041 035 $a(DE-He213)978-981-97-1635-7 035 $a(EXLCZ)9931428322000041 100 $a20240405d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalytical and Numerical Methods for Nonlinear Fluid Flow Problems in Porous Media$b[electronic resource] /$fby Wenchao Liu, Jun Yao, Weiyao Zhu 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (287 pages) 311 $a981-9716-34-9 327 $aChapter 1 Introduction -- Chapter 2 Basic equations of fluid flow in porous media -- Chapter 3 Some nonlinear problems in classical Darcy seepage flow -- Chapter 4 Several nonlinear problems of low-velocity non-Darcy?s flow in porous media -- Chapter 5 Unconventional reservoir numerical simulations incorporating nonlinear low-velocity non-Darcy?s flow in porous media in field scale. 330 $aThis 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. 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aMathematical models 606 $aMathematical physics 606 $aMathematical and Computational Engineering Applications 606 $aMathematical Modeling and Industrial Mathematics 606 $aMathematical Physics 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aMathematical models. 615 0$aMathematical physics. 615 14$aMathematical and Computational Engineering Applications. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical Physics. 676 $a620 700 $aLiu$b Wenchao$01736337 701 $aYao$b Jun$01058536 701 $aZhu$b Weiyao$01615100 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910847584903321 996 $aAnalytical and Numerical Methods for Nonlinear Fluid Flow Problems in Porous Media$94156191 997 $aUNINA