000 04340nam a22005655i 4500
001 978-981-97-1635-7
003 DE-He213
005 20251030111807.0
007 cr nn 008mamaa
008 240405s2024 si | s |||| 0|eng d
020 _a9789819716357
_9978-981-97-1635-7
024 7 _a10.1007/978-981-97-1635-7
_2doi
050 4 _aTA329-348
050 4 _aTA345-345.5
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
100 1 _aLiu, Wenchao.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_974800
245 1 0 _aAnalytical and Numerical Methods for Nonlinear Fluid Flow Problems in Porous Media
_h[electronic resource] /
_cby Wenchao Liu, Jun Yao, Weiyao Zhu.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXIII, 275 p. 106 illus., 94 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
650 0 _aEngineering mathematics.
_964145
650 0 _aEngineering
_xData processing.
650 0 _aMathematical models.
_966910
650 0 _aMathematical physics.
650 1 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_966912
650 2 4 _aMathematical Physics.
700 1 _aYao, Jun.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_974801
700 1 _aZhu, Weiyao.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_974802
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819716340
776 0 8 _iPrinted edition:
_z9789819716364
776 0 8 _iPrinted edition:
_z9789819716371
856 4 0 _uhttps://doi.org/10.1007/978-981-97-1635-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c58979
_d58979