Fractals in Rock Mechanics

Heping Xie

Δεκ 2020 · CRC Press

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464

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Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc.

The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering.

The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

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Xie Heping, a specialist in engineering mechanics, was born in Shuangfeng, Hunan Province in 1956. He graduated from the China University of Mining and Technology in 1982 and received his Ph. D. degree from the China University of Mining and Technology in 1987, where he became a professor in 1990. He was approved as doctoral candidate supervisor by the Academic Degree Committee of State Council. In 2001 he was elected academician of the Chinese Academy of Engineering. He serves as the president of Sichuan University, as member of the Subject Evaluation Team of the Academic Degree Committee of State Council, as vice president of the Chinese Society for Rock Mechanics and Engineering and as vice president of the China Coal Society.

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