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Modeling of elastic and electrical properties of solid-liquid rock system with fractal microstructure
Institution:1. State Key Laboratory of Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing, 100083, China;2. School of Mechanics & Civil Engineering, China University of Mining and Technology, Beijing, 100083, China;1. Department of Earth and Environmental Sciences, Ludwig-Maximilians-Universität, Munich, 80333, Germany;2. School of Earth, Environmental and Biological Sciences, Queensland University of Technology, Brisbane, 4001, Australia;1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;2. Xi''an Modern Control Technology Research Institute, Xi’an 710065, China;1. State Key Laboratory of Ore Deposit Geochemistry, Institute of Geochemistry, Chinese Academy of Sciences, Guiyang 550081, China;2. College of Earth Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;3. State Key Laboratory of Safe Ming and Clean Utilization of Coal Resources, Beijing 100013, China;4. Research Center for Strategy of Global Mineral Resources, Chinese Academy of Geological Sciences, Beijing 100037, China;1. Department of Earth Science, Graduate School of Science, Tohoku University, Aramaki-Aza-Aoba, Aoba-Ku, Sendai, Miyagi 980-8578, Japan;2. Bayerisches Geoinstitut, University of Bayreuth, 95440 Bayreuth, Germany
Abstract:In the present paper we study the possibility of using joint quantitative interpretation of experimental electromagnetic and seismic data for lithospheric studies and to establish the situations in which the joint inversion of seismic and EM experimental data is possible. For this purpose a theoretical model of a solid-liquid rock mixture with fractal structure of grain-to-grain contact (Bahr, 1997; Spangenberg, 1998) was used to investigate dependence of elastic and electrical properties on rock microstructure. The electrical conductivity and seismic wave velocity were estimated by Monte-Carlo modeling for low porosity water-saturated crystalline rock and olivine-partially molten basalt system. It was shown that both elastic properties and conductivity of solid-liquid rock mixture depend non-linearly upon two main common factors, i.e. amount of liquid phase and fractal rock microstructure that is controlled by the degree of contact between grains. The dependence of rock physical macroproperties (seismic velocities, electrical conductivity and seismic and electrical anisotropy) upon these two main factors makes it possible to construct algorithms for joint quantitative interpretation of experimental seismic and electromagnetic data.
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