| 对二维磁异常利用广义逆矩阵的选择法 |
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| 引用本文： | 刘天佑,管志宁.对二维磁异常利用广义逆矩阵的选择法[J].地球物理学报,1986,29(4):390-398. |
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| 作者姓名： | 刘天佑 管志宁 |
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| 作者单位： | 武汉地质学院北京研究生部 |
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| 摘 要： | 本文利用广义逆矩阵理论反演解释二维磁异常。实现了加阻尼因子法,实现并改进了奇异值人工截除法;讨论了资料分辨矩阵、信息密度矩阵等辅助信息的利用;详细评价了广义逆矩阵算法的优劣。通过与目前重、磁最优化反演中常用的阻尼最小二乘法、变尺度法的对比,指出广义逆矩阵法优于这些算法。最后以河北迁安一个复杂磁异常的反演实例加以证实。
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| 关 键 词： | 磁异常 阻尼最小二乘法 奇异值分解 分辨矩阵 最优化反演 广义逆矩阵 阻尼因子 地球物理 反演解释 变尺度法 |
| 收稿时间： | 1985-02-07 |
SELECTIVE METHOD OF GENERALIZED INVERSE MATRIX FOR THE INTERPRETATION OF TWO-DIMENSIONAL MAGNETIC ANOMALIES |
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| LIN TIAN-YOU,GUAN ZHI-NING.SELECTIVE METHOD OF GENERALIZED INVERSE MATRIX FOR THE INTERPRETATION OF TWO-DIMENSIONAL MAGNETIC ANOMALIES[J].Chinese Journal of Geophysics,1986,29(4):390-398. |
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| Authors: | LIN TIAN-YOU GUAN ZHI-NING |
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| Affiliation: | Wuhan College of Geology, Beijing Postgraduate Department |
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| Abstract: | The inversion problem of two dimensional magnetic anomalies is discussed on thebasis of generalized inverse matrix theory. Damping factor method is realized and method of eigenvalue of artificial selection improved. The application of supplementalinformation such as data resolution matrix and information andsity matrix and theirapplicability are discussed also. The advantages and disadvantages of the method arereviewed in detail. It is demonstrated by comparison that the generalized matrix me-thod is better than damping least square method and pseudo-Newton method which arenow extensively used in interpretting gravity and magnetic anomalies. The conclusionis verified by a case history in Qianan, Hebi, where the inversion problem of a complica-ted magnetic anomaly was resolved by the proposed method. |
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