| 反演地层电阻率的单调同伦法 |
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| 引用本文： | 韩波, 匡正, 刘家琦. 反演地层电阻率的单调同伦法[J]. 地球物理学报, 1991, 34(04): 517-522, |
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| 作者姓名： | 韩波 匡正 刘家琦 |
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| 作者单位： | 哈尔滨工业大学数学系, 哈尔滨 150006 |
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| 摘 要： | 本文从电法测井的数学模型出发,给出了一种反演地层参数的单调同伦法,把非线性方程组的求解转化成常微分方程初值问题的数值求解,从而给出一种大范围收敛的反演方法.最后的数值结果表明,本文给出的算法是十分有效的.
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| 关 键 词： | 电法测井 微分方程反问题 同伦方法 |
| 收稿时间： | 1990-05-28 |
| 修稿时间： | 1990-09-21 |
A MONOTONOUS HOMOTOPY METHOD FOR SOLVING THE RESISTIVITIES OF THE EARTH |
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| HAN BO, KUANG ZHENG, LIU JTA-QI. A MONOTONOUS HOMOTOPY METHOD FOR SOLVING THE RESISTIVITIES OF THE EARTH[J]. Chinese Journal of Geophysics (in Chinese), 1991, 34(04): 517-522, |
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| Authors: | HAN BO KUANG ZHENG LIU JTA-QI |
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| Affiliation: | Department of Mathematics, Harbin Institute of Technology, Harbin 150006 |
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| Abstract: | On the basis of the mathematical model of electrical log, we have proposed a monotonous homotopy method for determining the parameters of the earth. By this method, the problem of nonlinear system of equations is reduced to an initial value problem of ordinary differential equations. It is a widely convergent method. Numerical simulations show that this numerical algorithm is effective. |
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| Keywords: | Electrical log Invers problem of partial differential equation Homotopy method |
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