Introduction to Continuum Mechanics: With Applications to Oil and Gas Development

This textbook presents an introduction to continuum mechanics covering fundamental mathematical tools, general laws and major models. The material is based on lectures held at Gubkin's Russian State University of Oil and Gas. It also includes material related to a joint research seminar with the Institute of Problems in Mechanics of the Russian Academy of Science. The knowledge provided is necessary to understand the structure of existing models, to read and understand the literature and to apply existing methods consciously. Results from computer simulations of virtual models of oil-gas-production are presented to illustrate applications. Graduate students as well as researchers in applied mathematics will benefit from this self-contained text which is enriched by many examples and exercises.

這本教科書介紹了連續介質力學的基礎，包括基本的數學工具、一般性法則和主要模型。教材基於俄羅斯國立石油和天然氣大學（Gubkin's Russian State University of Oil and Gas）的講座內容，並包含與俄羅斯科學院力學問題研究所（Institute of Problems in Mechanics of the Russian Academy of Science）的聯合研究研討會相關的材料。這些知識對於理解現有模型的結構、閱讀和理解文獻以及有意識地應用現有方法是必要的。書中還介紹了應用於油氣生產虛擬模型的計算機模擬結果，以說明應用的實例。這本自成一體的教材將對應用數學的研究生和研究人員有所裨益，並豐富了許多例子和練習題。

Vladimir Markovich Entov (1937-2008) worked at the Institute for Problems in Mechanics of the Soviet Academy of Science fom 1971 onwards. Since 1983 he also was Professor of Applied Mathematics and Computer Modeling at the Moscow Institute of Oil and Gas (now known as the Gubkin Russian State University of Oil and Gas). In later years he was involved in research and teaching activity at Institut de Physique du Globe de Paris, the universities of Cambridge and Oxford, and the University of Stanford and served as member of the editorial board of the European Journal of Applied Mathematics.

Elena Valerievna Glivenko is a professor of the Department of Applied Mathematics at Gubkin University of Oil and Gas, Moscow. Her interests include the development of new computational methods with a natural parallelism based on algebraic topology and mini-operational systems for the study of earthquake catalogs aimed at prediction of strong events. She authored about 100 scientific publications and 7 monographs.

弗拉迪米爾·馬爾科維奇·恩托夫（1937-2008）從1971年開始在蘇聯科學院力學問題研究所工作。自1983年起，他還擔任莫斯科石油和天然氣學院（現稱古布金俄羅斯國立石油和天然氣大學）應用數學和計算機建模教授。在後來的幾年裡，他參與了巴黎地球物理研究所、劍橋大學、牛津大學和斯坦福大學的研究和教學活動，並擔任歐洲應用數學期刊編輯委員會成員。

埃琳娜·瓦萊里耶芙娜·格利文科是莫斯科古布金石油和天然氣大學應用數學系的教授。她的研究興趣包括基於代數拓撲和小型運算系統的自然並行性的新型計算方法，以及用於預測強震事件的地震目錄研究。她撰寫了約100篇科學論文和7本專著。