| 具有空间分布裂缝岩石的随机介质模型 |
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| 引用本文： | 曾新吾,张光莹,秀明王.具有空间分布裂缝岩石的随机介质模型[J].应用地球物理,2004,1(1):50-55. |
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| 作者姓名： | 曾新吾 张光莹 秀明王 |
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| 作者单位： | 国防科技大学理学院 Petroleum(曾新吾)，国防科技大学理学院 ARRC(张光莹)，CSIR0 POBOX(秀明王) |
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| 摘 要： | 利用随机过程的谱展开理论以及Hudson等人的裂纹介质模型构造一种裂纹数密度是空间平稳随机过程的随机介质模型。这个模型可以将裂纹的微观参数(裂纹数密度)与裂纹介质的宏观性质(弹性常数)联系起来,能灵活、有效地描述实际非均匀裂纹介质。模型算例表明,弹性常数的空问分布特征与裂纹数密度的有差别,而且对不同的弹性常数影响不同。通过改编自相关长度的大小,可以模拟裂缝在两个坐标轴方向上具有不同分布尺度的情况。最后,利用高阶的交错网格有限差分方法,我们模拟了地震波在具有随机分布裂缝岩石中的传播特征。
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| 关 键 词： | 随机介质 自相关函教 岩石 裂缝 |
| 收稿时间： | 18 May 2004 |
Modeling of Rocks with Spatial Distributed Fractures by Random Medium Theory |
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| Zeng Xinwu,Zhang Guangying,and Wang Xiuming.Modeling of Rocks with Spatial Distributed Fractures by Random Medium Theory[J].Applied Geophysics,2004,1(1):50-55. |
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| Authors: | Zeng Xinwu Zhang Guangying and Wang Xiuming |
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| Institution: | (1) Department of Applied Physics, National University of Defense Technology, 410073 Changsha, Hunan, China;(2) CSIRO Petroleum, ARRC, Technology Park, POBOX 1130, 6102 Bentley, WA, Australia |
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| Abstract: | By using the spectram 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.
Party presented at the CPS/SEG Beijing 2004 International Geophysical Conference, March 31–April 3, 2004.
THE AUTHORS
Zeng Xinwu, Professor, obtained his Bachelor degree in applied mechanics from the National University of Defense Technology (NUDT, China)
in 1983, and Ph.D in Geophysics from Edinburgh University (UK) in 1994. From 1995, he worked in the Faculty of Science, NUDT
as professor in Mechanics. His current research interests include dynamic response of materials, multicomponent data processing
for seismic waves propagating in anisotropic media, and elastic waves propagation in fractured rocks.
Zhang Guangying, Ph.D, obtained his bachelor degree in physics from Nankai University (China) in 1996, and Ph. D in Engineering Mechanics
from NUDT in 2003. She now is a research scientist in Beijing Institute of Designation for special engineering. Her current
research interest is elastic waves propagation in fractured rocks.
Wang Xiuming, Professor, obtained his bachelor degree in Petroleum Engineering (1984), and Ph.D in Geophysics (1996) from the Petroleum
University of China. He is now a Senior Scientific Officer in CSIRO, Australia. His current research interests including numerical
modeling of seismic wave propagation and seismic migration. |
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| Keywords: | random medium autocorrelation function rock and fracture |
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