Fractals in rock mechanics
著者
書誌事項
Fractals in rock mechanics
（Geomechanics research series / editor in chief, Marek A. Kwaśniewski, 1）
A.A. Balkema, 1993
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Introduction. General Properties of Fractals. The Perimeter-Area Relation of Fractal Sets and Fractal Surfaces. Random Fractals. Fractal Growth. Multifractals. Self-Inverse Fractals. Fuzzy Fractals. The Theory of Large Deformation and Its Application. Damage Mechanics of Rock. Fractals and Fragmentation of Rock Materials. Fractal Pores and Particles of Rocks and Soils. Fractal Models of Rock Micro-Fractures. Fractal Analysis of Rock Damage and Fracture. Fractal Description of the Roughness of Rock Joints. Fractal Nature of the Cluster System.
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