Analytical and Numerical Methods for Nonlinear Fluid Flow Problems in Porous Media (多孔介質中非線性流體流動問題的分析與數值方法)
Liu, Wenchao, Yao, Jun, Zhu, Weiyao
- 出版商: Springer
- 出版日期: 2024-04-06
- 售價: $7,150
- 貴賓價: 9.5 折 $6,793
- 語言: 英文
- 頁數: 275
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 9819716349
- ISBN-13: 9789819716340
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商品描述
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.
商品描述(中文翻譯)
本書詳細探討了工程問題中涉及的一些開放非線性滲流問題的數學方法和計算方法。同時提供了相關的實際應用和發展中的工程技術。介紹的開放非線性問題包括非線性二次壓力梯度項問題、可壓縮氣體滲流問題和低速非達西滲流問題。對這些非線性滲流問題的研究吸引了來自不同學科的工程師和科學家,如地能工程、土木與環境工程、流體力學、應用數學和計算等。特別是,本書從移動邊界的新視角系統地建立了低速非達西滲流的強非線性問題的基本理論,同時強調了數學線性化轉換方法和計算方法在強非線性偏微分方程的解析和數值解中的應用。在模型解決過程中,總是先介紹足夠的數學知識來幫助讀者。並且詳細提供了模型解決過程中嚴格的公式推導程序。本書中的模型解決結果具有高解析度的圖表,對讀者掌握非線性模型解決方法和工程技術非常有幫助。本書適用於對工程技術、流體力學和應用數學感興趣的大學高年級學生和研究生,以及從事地能科學與工程和現場應用的研究人員和工程師。
作者簡介
Dr. Wenchao Liu is an associate professor at University of Science and Technology Beijing (USTB) in China. In 2007, Dr. Wenchao Liu received a Bachelor's degree in Information and Computing Science from China University of Petroleum (East China). In 2010, he received a Master's degree in Mathematics from China University of Petroleum (East China). In 2013, Dr. Liu received a Doctorate in Petroleum Engineering from China University of Petroleum (East China). From 2012 to 2013, he studied at the University of Calgary in Canada with the support of the China National Study Abroad Fund. From 2014 to 2017, he worked as a post-doctor at Institute of Mechanics, Chinese Academy of Sciences. Since 2017, he has been engaged in teaching and scientific research at School of Civil and Resource Engineering at University of Science and Technology Beijing.
Dr. Yao Jun, born in March 1964, holds a Ph.D. and is a full professor at China University of Petroleum (East China). He is a member of the 6th and 7th Petroleum and Natural Gas Engineering Discipline Evaluation Groups of the Academic Degree Committee of the State Council of China, a member of the Department of Geology of Resources and Environment of the Science and Technology Advisory Committee of the China Ministry of Education, a co-initiator and an academic advisor of the International Carbonate Reservoir Research Center (ICCR), an academic member of the International Porous Media Association (Interpore) and also a founder/leader of the China region of Interpore. Dr. Yao has published 8 monographs (2 monographs in English), published over 500 papers, cited over 7527 times and authorized 38 invention patents and 12 software copyrights.Dr. Weiyao Zhu is a full professor at University of Science and Technology Beijing (USTB) in China. He is a doctoral supervisor, head of the discipline of mechanics and director of the Institute of Applied Mechanics at USTB. He graduated from Daqing Petroleum Institute with a bachelor's degree in oilfield development in 1983, a master's degree in Lanzhou Seepage flow Mechanics Laboratory of Chinese Academy of Sciences in 1986 and a doctor's degree in Chinese Academy of Sciences Seepage Fluid Mechanics Institute in 1990. He has successively worked in the Chinese Academy of Sciences, the Ministry of Petroleum of China and University of Science and Technology Beijing and has 35 years of experience in seepage flow mechanics theory and engineering technology research and development, and development scheme design.作者簡介(中文翻譯)
劉文超博士是中國北京科技大學的副教授。2007年,劉文超博士在中國石油大學(華東)獲得了信息與計算科學學士學位。2010年,他在中國石油大學(華東)獲得了數學碩士學位。2013年,劉博士在中國石油大學(華東)獲得了石油工程博士學位。2012年至2013年期間,他在加拿大卡爾加里大學進修,並獲得中國國家留學基金的支持。2014年至2017年,他在中國科學院力學研究所擔任博士後。自2017年起,他一直在北京科技大學土木與資源工程學院從事教學和科研工作。
姚軍博士,1964年3月出生,擁有博士學位,是中國石油大學(華東)的教授。他是中國國家學位委員會第六和第七屆石油與天然氣工程學學科評議組成員,中國教育部科技諮詢委員會地質資源與環境學科組成員,國際碳酸鹽儲層研究中心(ICCR)的共同發起人和學術顧問,國際多孔介質協會(Interpore)的學術成員,也是Interpore中國區的創始人/負責人。姚博士已出版了8本專著(其中2本為英文專著),發表了500多篇論文,被引用7527次以上,並獲得了38項發明專利和12項軟件版權授權。
朱維堯博士是中國北京科技大學的教授。他是博士生導師,機械學科負責人,以及北京科技大學應用力學研究所的所長。他於1983年畢業於大慶石油學院石油開發專業,1986年在中國科學院蘭州滲流力學實驗室獲得碩士學位,1990年在中國科學院滲流流體力學研究所獲得博士學位。他先後在中國科學院、中國石油部和北京科技大學工作,擁有35年的滲流力學理論和工程技術研究以及開發方案設計的經驗。