This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed. Contents Introduction The Hele–Shaw problem A joint motion of two immiscible viscous fluids Mathematical models of in-situ leaching Dynamics of cracks in rocks Elements of continuum mechanics

Boundaries of Rock Mechanics. Recent Advances and Challenges for the 21st Century contains 180 papers from the International Young Scholars Symposium on Rock Mechanics 2008 (Beijing, China, 28 April-2 May 2008). The symposium was organized by the ISRM Commission on Education, and sponsored by the International Society for Rock Mechanics (ISRM) and

This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed. Contents Introduction The Hele–Shaw problem A joint motion of two immiscible viscous fluids Mathematical models of in-situ leaching Dynamics of cracks in rocks Elements of continuum mechanics

Widely regarded as the most authoritative and comprehensive book inits field, the fourth edition of Fundamentals of RockMechanics includes new and substantially updated chapters tothis highly praised text. Extensively updated throughout, this new edition containssubstantially expanded chapters on poroelasticity, wavepropogation, and subsurface stresses Features entirely new chapters on rock fractures andmicromechanical models of rock behaviour Discusses fundamental concepts such as stress and strain Offers a thorough introduction to the subject before expertlydelving into a fundamental, self-contained discussion of specifictopics Unavailable for many years, now back by popular demand. An Instructor manual CD-ROM for this title is available. Pleasecontact our Higher Education team at ahref="mailto:[email protected]"[email protected]/afor more information. Reviews: “With this attention to detail, and rigorous adherence toclarity and exactness in description, this edition will consolidatethe standing achieved by the earlier editions as a mostauthoritative and comprehensive book in its field. It will continueto serve as a leading reference work for geoscientists interestedin structural geology, tectonics and petrophysics as well as forcivil, mining and petroleum engineers.” (PetroleumGeoscience) "...I consider this book to be an invaluable reference forstudying and understanding the fundamental science at the base ofrock mechanics. I believe this to be a must-have textbook and Istrongly recommend it to anyone, student or professional,interested in the subject." (Rock Mechanics and RockEngineering) "An excellent book, very well presented, and is a must for theshelves of serious engineers and scientists active or interested inthe fields of rock mechanics and rock engineering.... Highlyrecommended." (South African Geographical Journal, 2008)

Rock Mechanics for Natural Resources and Infrastructure Development contains the proceedings of the 14th ISRM International Congress (ISRM 2019, Foz do Iguaçu, Brazil, 13-19 September 2019). Starting in 1966 in Lisbon, Portugal, the International Society for Rock Mechanics and Rock Engineering (ISRM) holds its Congress every four years. At this 14th occasion, the Congress brings together researchers, professors, engineers and students around contemporary themes relevant to rock mechanics and rock engineering. Rock Mechanics for Natural Resources and Infrastructure Development contains 7 Keynote Lectures and 449 papers in ten chapters, covering topics ranging from fundamental research in rock mechanics, laboratory and experimental field studies, and petroleum, mining and civil engineering applications. Also included are the prestigious ISRM Award Lectures, the Leopold Muller Award Lecture by professor Peter K. Kaiser. and the Manuel Rocha Award Lecture by Dr. Quinghua Lei. Rock Mechanics for Natural Resources and Infrastructure Development is a must-read for academics, engineers and students involved in rock mechanics and engineering. Proceedings in Earth and geosciences - Volume 6 The ‘Proceedings in Earth and geosciences’ series contains proceedings of peer-reviewed international conferences dealing in earth and geosciences. The main topics covered by the series include: geotechnical engineering, underground construction, mining, rock mechanics, soil mechanics and hydrogeology.

Rock mechanics is a field of applied science which has become recognised as a coherent engineering discipline within the last two decades. It consists of a body of knowledge of the mechanical properties of rock, various techniques for the analysis of rock stress under some imposed perturbation, a set of established principles expressing rock mass response to load, and a logical methodology for applying these notions and techniques to real physical prob lems. Some of the areas where application of rock mechanics concepts have been demonstrated to be of industrial value include surface and subsurface construction, mining and other methods of mineral recovery, geothermal energy recovery and subsurface hazardous waste isolation. In many cases, the pressures of industrial demand for rigour and precision in project or process design have led to rapid evolution of the engineering discipline, and general improvement in its basis in both the geosciences and engineering mechanics. An intellectual commitment in some outstanding research centres to the proper development of rock mechanics has now resulted in a capacity for engineering design in rock not conceivable two decades ago. Mining engineering is an obvious candidate for application of rock mechanics principles in the design of excavations generated by mineral extrac tion. A primary concern in mining operations, either on surface or underground, is loosely termed 'ground control', i. e.

Ore extraction through surface and underground mining continues to involve deeper excavations in more complex rock mass conditions. Communities and infrastructure are increasingly exposed to rock slope hazards as they expand further into rugged mountainous terrains. Volume 1 presents papers describing new technologies, ideas and insights concerning fundamental rock mechanics, while the second volume comprises a collection of rock engineering case histories relevant to the major themes of the symposium: rock slope hazards, geotechnical infrastructure, surface and underground mining, and petroleum exploitation.