| 一维波动方程波阻抗反演的同伦方法 |
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| 引用本文： | 张丽琴,王家映,严德天.一维波动方程波阻抗反演的同伦方法[J].地球物理学报,2004,47(6):1111-1117. |
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| 作者姓名： | 张丽琴 王家映 严德天 |
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| 作者单位： | 武汉大学地球空间环境与大地测量教育部重点实验室,武汉,430079;中国地质大学地球物理与空间信息学院,武汉 430074;中国地质大学资源学院沉积盆地与沉积矿产研究所,北京 430074 |
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| 摘 要： | 文中从地震勘探一维波动方程反问题出发，研究了一种反演地层参数的同伦方法，该方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，从而给出一种稳定的计算速度快、抗噪能力强的全局收敛的反演方法．理论模型和实例试算的结果表明了同伦方法是一种有效的反演算法，特别适用于非线性、多极值的地球物理反演问题，在地球物理非线性反演中具有广泛的应用前景．
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| 关 键 词： | 同伦方法 波动方程 波阻抗 反演 地震勘探 |
| 文章编号： | 0001-5733(2004)06-1111-07 |
| 收稿时间： | 2003-12-20 |
| 修稿时间： | 2004-7-27 |
A HOMOTOPY METHOD FOR THE IMPEDANCE INVERSION OF 1-D WAVE EQUATION |
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| ZHANG Li-Qin WANG Jia-Ying YAN De-Tian Key Laboratory of Geospace Environment and Geodesy Sponsored by Ministry of Education,Wuhan University,Wuhan ,China Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan ,China Institute of Sedimentary Basin and Mineral Resource,the Faculty of Earth Resources,China University of Geosciences,Wuhan ,China.A HOMOTOPY METHOD FOR THE IMPEDANCE INVERSION OF 1-D WAVE EQUATION[J].Chinese Journal of Geophysics,2004,47(6):1111-1117. |
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| Authors: | ZHANG Li-Qin WANG Jia-Ying YAN De-Tian Key Laboratory of Geospace Environment and Geodesy Sponsored by Ministry of Education Wuhan University Wuhan China Institute of Geophysics and Geomatics China University of Geosciences Wuhan China Institute of Sedimentary Basin and Mineral Resource the Faculty of Earth Resources China University of Geosciences Wuhan China |
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| Institution: | 1.Key Laboratory of Geospace Environment and Geodesy Sponsored by Ministry of Education，Wuhan University，Wuhan 430079，China 2 Institute of Geophysics and Geomatics，China University of Geosciences，Wuhan 430074，China 3Institute of Sedimentary Basin and Mineral Resource，the Faculty of Earth Resources，China University of Geosciences，Wuhan 430074，China |
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| Abstract: | Based on the inversion of one-dimensional seismic wave equation,we propose a homotopy method for determining the parameters of the earth.With this method,the problem of the nonlinear system of equations is reduced to an initial value problem of ordinary differential equations.This algorithm is not only fast and stable but also globally convergent.Calculation results on both synthetic data and field data show the effectiveness of the homotopy method as an inversion algorithm.It is especially appropriate for non-linear geophysical inversion problems with multi-minimum values,and has widespread application prospects in non-linear geophysical inversion problems. |
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| Keywords: | Homotopy method Wave equations Impedance Inversion Seismic exploration |
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