| 微地震的线性方程定位求解及其病态处理 |
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| 引用本文： | 逄焕东,姜福兴,张兴民.微地震的线性方程定位求解及其病态处理[J].岩土力学,2004,25(Z1):60-62. |
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| 作者姓名： | 逄焕东 姜福兴 张兴民 |
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| 作者单位： | 山东科技大学,山东,泰安,271019 |
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| 基金项目： | 国家自然科学基金重大国际合作项目(50320120001)，面上基金项目(50074021) |
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| 摘 要： | 岩体破裂时会产生微地震现象,微地震的发生与岩体内部的能量释放以及进一步的裂纹演化、破裂有着密切的关系。所以,可以用微地震的时空分布来预测岩体的破裂。微地震定位是预测岩体破裂的基础。研究了微地震定位方程求解过程中不同情况下解的几种情况无穷解、唯一解和最小二乘解。由于定位问题属于反问题,因此,定位方程往往呈现病态,为此,进一步分析了病态方程的正则化处理方法。实际算例证明,用正则化方法求解定位方程具有计算简单、收敛速度快的优点,非常适合求解此类问题。
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| 关 键 词： | 微地震 变分原理 条件数 正则化方法 |
| 文章编号： | 1000-7598-(2004)增刊-0060-03 |
| 修稿时间： | 2004年7月16日 |
Study on nonhomogeneous material's AE by image processing method |
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| PANG Huan-dong,JIANG Fu-xing,ZHANG Xing-min.Study on nonhomogeneous material''''s AE by image processing method[J].Rock and Soil Mechanics,2004,25(Z1):60-62. |
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| Authors: | PANG Huan-dong JIANG Fu-xing ZHANG Xing-min |
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| Abstract: | Micro seism (MS) will produce when rock mass break. The occurrence of MS has close relationship to the energy release and crack's evolution in the rock mass. Therefore the MS can be used to predict the future fracture of the rock mass. MS location is the base of this prediction. Here a few cases has been studied as the follows: Infinitude resolution, unique solution and least squared (LS) solution. Because the location process belongs to inverse problem, usually it is ill-conditioned. So the further regularized method to treat these ill-conditioned. equations has been put forward and analyzed. The computation example proved that the normalized method had such strong points as simple calculation , fast convergence. It is very suitable to deal with this type of questions. |
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| Keywords: | micro seism variational principle condition number regularized method |
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