| 地面核磁共振找水反演 |
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| 引用本文： | 戴苗,胡祥云,吴海波,蒋龙聪,杨迪琨.地面核磁共振找水反演[J].地球物理学报,2009,52(10):2676-2682. |
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| 作者姓名： | 戴苗 胡祥云 吴海波 蒋龙聪 杨迪琨 |
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| 作者单位： | 1.中国地质大学（武汉）地球物理与空间信息学院,武汉 430074;2.中国地震局地震研究所,武汉 430071 |
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| 基金项目： | 国家自然科学基金，湖北省自然科学基金 |
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| 摘 要： | 简要介绍了地面核磁共振找水的正演理论方法，采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分，进而计算出精度较高的核函数值，在此基础之上，讨论了导电性对地面核磁共振信号的影响.基于奇异值分解算法，对核磁共振找水理论模型进行了反演研究，在不导电的情况下，重构出了比较理想的含水率分布.总结并改进了模拟退火算法，用改进的模拟退火算法分别对覆盖层高阻和导电条件下的核磁共振人工合成数据进行了反演，试验结果表明，利用改进的模拟退火算法反演地面核磁共振是可行的，而且反演结果较稳定，收敛速度较快.
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| 关 键 词： | 地面核磁共振 奇异值分解 改进的快速模拟退火算法 约束反演 |
| 收稿时间： | 2008-5-29 |
| 修稿时间： | 2009-9-8 |
Inversion of surface nuclear magnetic resonance |
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| DAI Miao,HU Xiang-Yun,WU Hai-Bo,JIANG Long-Cong,YANG Di-Kun.Inversion of surface nuclear magnetic resonance[J].Chinese Journal of Geophysics,2009,52(10):2676-2682. |
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| Authors: | DAI Miao HU Xiang-Yun WU Hai-Bo JIANG Long-Cong YANG Di-Kun |
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| Institution: | 1.Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China;2.Institute of Seismology, China Earthquake Administration, Wuhan 430071, China |
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| Abstract: | The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance's signal. Based on singular value decomposition algorithm, we studied the theoretical model of surface nuclear magnetic resonance and gained the ideal inversion result. We also made inversion experimentation respectively on insulative and electric model using the improved simulated annealing algorithm, and showed that it was desirable to this method. The inversion result was relatively stable and the convergence was very fast. |
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| Keywords: | Surface nuclear magnetic resonance Singular value decomposition Improved fast simulated annealing algorithm Restrictive inversion |
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