Analytical and numerical methods for nonlinear fluid flow problems in porous media:
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 o...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore, Singapore
Springer
[2024]
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| Ausgabe: | 2024 |
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | Chapter 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. |
| Beschreibung: | xiii, 275 Seiten Illustrationen 235 mm |
| ISBN: | 9789819716340 |
Internformat
MARC
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| 100 | 1 | |a Liu, Wenchao |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Analytical and numerical methods for nonlinear fluid flow problems in porous media |c Wenchao Liu, Jun Yao, Weiyao Zhu |
| 264 | 1 | |a Singapore, Singapore |b Springer |c [2024] | |
| 300 | |a xiii, 275 Seiten |b Illustrationen |c 235 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Chapter 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 | |a 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 | ||
| 650 | 4 | |a Engineering—Data processing | |
| 650 | 4 | |a Mathematical models | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Engineering mathematics | |
| 653 | |a Hardcover, Softcover / Technik/Allgemeines, Lexika | ||
| 700 | 1 | |a Yao, Jun |e Verfasser |4 aut | |
| 700 | 1 | |a Zhu, Weiyao |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-981-97-1635-7 |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035114402 | |
Datensatz im Suchindex
| _version_ | 1809767152227450880 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Liu, Wenchao Yao, Jun Zhu, Weiyao |
| author_facet | Liu, Wenchao Yao, Jun Zhu, Weiyao |
| author_role | aut aut aut |
| author_sort | Liu, Wenchao |
| author_variant | w l wl j y jy w z wz |
| building | Verbundindex |
| bvnumber | BV049773268 |
| ctrlnum | (OCoLC)1454758332 (DE-599)BVBBV049773268 |
| edition | 2024 |
| format | Book |
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| id | DE-604.BV049773268 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T00:34:11Z |
| institution | BVB |
| isbn | 9789819716340 |
| language | English |
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| oclc_num | 1454758332 |
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| owner_facet | DE-29T |
| physical | xiii, 275 Seiten Illustrationen 235 mm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
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| publisher | Springer |
| record_format | marc |
| spelling | Liu, Wenchao Verfasser aut Analytical and numerical methods for nonlinear fluid flow problems in porous media Wenchao Liu, Jun Yao, Weiyao Zhu Singapore, Singapore Springer [2024] xiii, 275 Seiten Illustrationen 235 mm txt rdacontent n rdamedia nc rdacarrier Chapter 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. 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 Engineering—Data processing Mathematical models Mathematical physics Engineering mathematics Hardcover, Softcover / Technik/Allgemeines, Lexika Yao, Jun Verfasser aut Zhu, Weiyao Verfasser aut Erscheint auch als Online-Ausgabe 978-981-97-1635-7 |
| spellingShingle | Liu, Wenchao Yao, Jun Zhu, Weiyao Analytical and numerical methods for nonlinear fluid flow problems in porous media Engineering—Data processing Mathematical models Mathematical physics Engineering mathematics |
| title | Analytical and numerical methods for nonlinear fluid flow problems in porous media |
| title_auth | Analytical and numerical methods for nonlinear fluid flow problems in porous media |
| title_exact_search | Analytical and numerical methods for nonlinear fluid flow problems in porous media |
| title_full | Analytical and numerical methods for nonlinear fluid flow problems in porous media Wenchao Liu, Jun Yao, Weiyao Zhu |
| title_fullStr | Analytical and numerical methods for nonlinear fluid flow problems in porous media Wenchao Liu, Jun Yao, Weiyao Zhu |
| title_full_unstemmed | Analytical and numerical methods for nonlinear fluid flow problems in porous media Wenchao Liu, Jun Yao, Weiyao Zhu |
| title_short | Analytical and numerical methods for nonlinear fluid flow problems in porous media |
| title_sort | analytical and numerical methods for nonlinear fluid flow problems in porous media |
| topic | Engineering—Data processing Mathematical models Mathematical physics Engineering mathematics |
| topic_facet | Engineering—Data processing Mathematical models Mathematical physics Engineering mathematics |
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