CAJ | 학술논문

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,弹性常数的空间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.
이용수궤과정적보전개이론이급Hudson등인적렬문개질모형구조일충렬문수밀도시공간평은수궤과정적수궤개질모형.저개모형가이장렬문적미관삼수(렬문수밀도)여렬문개질적굉관성질(탄성상수)련계기래,능령활、유효지묘술실제비균균렬문개질.모형산례표명,탄성상수적공간분포특정여렬문수밀도적유차별,이차대불동적탄성상수영향불동.통과개편자상관장도적대소,가이모의렬봉재량개좌표축방향상구유불동분포척도적정황.최후,이용고계적교착망격유한차분방법,아문모의료지진파재구유수궤분포렬봉암석중적전파특정.
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.