04127nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172050001600186072001600202072002300218072001500241100008200256245015000338250001800488264007200506300006700578336002600645337002600671338003600697347002400733505039400757520176301151650003602914650003402950650003202984650002603016650006103042650006103103650002603164700007803190700008103268710003403349773002603383776003603409776003603445776003603481856004603517912001403563912001503577999001703592978-981-97-1635-7DE-He21320251030111807.0cr nn 008mamaa240405s2024    si |    s    |||| 0|eng d  a97898197163579978-981-97-1635-77 a10.1007/978-981-97-1635-72doi 4aTA329-348 4aTA345-345.5 7aTBJ2bicssc 7aTEC0090002bisacsh 7aTBJ2thema1 aLiu, Wenchao.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97480010aAnalytical and Numerical Methods for Nonlinear Fluid Flow Problems in Porous Mediah[electronic resource] /cby Wenchao Liu, Jun Yao, Weiyao Zhu.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aXIII, 275 p. 106 illus., 94 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 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.  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. 0aEngineering mathematics.964145 0aEngineeringxData processing. 0aMathematical models.966910 0aMathematical physics.14aMathematical and Computational Engineering Applications.24aMathematical Modeling and Industrial Mathematics.96691224aMathematical Physics.1 aYao, Jun.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9748011 aZhu, Weiyao.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9748022 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981971634008iPrinted edition:z978981971636408iPrinted edition:z978981971637140uhttps://doi.org/10.1007/978-981-97-1635-7  aZDB-2-SMA  aZDB-2-SXMS  c58979d58979