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Modeling of Rocks with Spatial Distributed Fractures by Random Medium Theory
作者姓名:ZengXinwu  ZhangGuangying  WangXiuming
作者单位:[1]DepartmentofAppliedPhysics,NationalUniversityofDefenseTechnology,Changsha,Hunan4i0073,China. [2]CSIROPetroleum,ARRC,POBOX1130,TechnologyPark,Bentley,WA6102,Australia.
摘    要:By using the spectrum expanding theory of random processes and Hudson‘s crack model,we developed a random medium model for rocks with spatial random distributed number density of cracks. This model could connect the micro-parameters of the cracks with the macro- mechanical properties, and can be effectively applied to model the real inhomogeneous medium. Numerical example indicates that the random distribution characters could be different for different elastic constants under the same random distribution of number density of cracks. By changing the value of the autocorrelation length pair, it is possible to model the difference of the distribution in the two coordinate directions. Numerical modeling results for seismic wave propagating in rocks with random distributed fractures using a staggered high-order finite-difference (SHOFD) are also presented.

关 键 词:光谱学  随机处理  自相关函数  岩石学  模型理论  空间分布模型  实体结构
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