| 直流电阻率法2.5维正演的外推瀑布式多重网格法 |
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| 引用本文： | 潘克家,汤井田,胡宏伶,陈传淼.直流电阻率法2.5维正演的外推瀑布式多重网格法[J].地球物理学报,2012,55(8):2769-2778. |
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| 作者姓名： | 潘克家 汤井田 胡宏伶 陈传淼 |
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| 作者单位： | 1. 中南大学有色金属成矿预测教育部重点实验室, 地球科学与信息物理学院, 长沙 410083;2. 中南大学数学与统计学院, 长沙 410075;3. 湖南师范大学数学与计算机科学学院, 长沙 410081;4. 高性能计算与随机信息处理教育部重点实验室, 长沙 410081 |
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| 基金项目： | 国家科技专项"深部探测技术与实验研究专项(SinoProbe-03-05)";国家自然科学基金(41204082,41174105);中国博士后科学基金(2011M501295);中南大学博士后科学基金资助 |
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| 摘 要： | 引入外推瀑布式多重网格法(EXCMG)求解2.5维直流电阻率有限元计算形成的大型稀疏线性方程组,结合基于地址矩阵的压缩存贮方式以及最优化离散波数,使得2.5维电阻率正演程序的计算速度大大提高而内存需求大大减小.研究结果表明:EXCMG法的收敛速度与网格尺寸无关,计算速度明显优于不完全Cholesky共轭梯度(ICCG)...
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| 关 键 词： | 直流电阻率 外推瀑布式多网格法 Fourier变换 共轭梯度法 |
| 收稿时间： | 2011-11-02 |
Extrapolation cascadic multigrid method for 2.5D direct current resistivity modeling |
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| PAN Ke-Jia
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TANG Jing-Tian
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HU Hong-Ling
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CHEN Chuan-Miao.Extrapolation cascadic multigrid method for 2.5D direct current resistivity modeling[J].Chinese Journal of Geophysics,2012,55(8):2769-2778. |
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| Authors: | PAN Ke-Jia TANG Jing-Tian HU Hong-Ling CHEN Chuan-Miao |
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| Institution: | 1. Key Laboratory of Metallogenic Prediction of Nonferrous Metals, Ministry of Education, School of Geosciences and Info-Physics, Central South University, Changsha 410083, China;2. School of Mathematics and Statistics, Central South University, Changsha 410075, China;3. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China;4. HPCSIP Key Laboratory, Ministry of Education, Changsha 410081, China |
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| Abstract: | Combining the compression storage mode based on address matrix with the optimized discrete wave-number, an extrapolation cascadic multigrid (EXCMG) method was introduced to solve the large sparse systems of linear equations resulting from 2.5D finite-element direct current (DC) resistivity modeling, which greatly increased the computing speed and significantly reduced the memory requirements of 2.5D forward modeling program. The research results showed that EXCMG method, which converged at a rate independent of the mesh size, was much more efficient than the incomplete Cholesky conjugate gradient (ICCG) method. Moreover, as the size of the problem increases, the efficiency advantage of EXCMG over other methods becomes more obvious. The EXCMG program for 2.5D DC resistivity modeling with a grid of 1600?1600 only took 28 seconds, and the average relative error of apparent resistivity was less than 0.22%, which laid the foundation for the latter studies of rapid inversion. |
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| Keywords: | Direct current resistivity Extrapolation cascadic multigrid method Fourier transform Conjugate gradient method |
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