The wavelet multiscale method for inversion of porosity in the fluid-saturated porous media
The wavelet multiscale method for inversion of porosity in the fluid-saturated porous media
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DOI：
10.1016/j.amc.2005.12.026
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发表时间：
2006-09
期刊：
影响因子：
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通讯作者：
Xinming Zhang;Ke'an Liu;Jiaqi Liu
中科院分区：
文献类型：
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作者：
Xinming Zhang;Ke'an Liu;Jiaqi Liu
本文将小波多尺度方法应用于流体饱和多孔介质中孔隙度的反演。利用小波变换将反问题分解到多个尺度上，从而将原反问题转化为一组对应于不同尺度的子反问题，并按照尺度大小从小到大依次求解。在每个尺度上进行正则化高斯-牛顿法，该方法稳定、快速，直到找到原始反问题的最优解。数值模拟结果表明，该方法是一种广泛收敛的优化方法，在计算效率和精度上与传统的正则化高斯-牛顿法相比具有一定的优势。
In this paper, the wavelet multiscale method is applied to the inversion of porosity in the fluid-saturated porous media. The inverse problem is decomposed to multiple scales with wavelet transform and hence the original inverse problem is re-formulated to be a set of sub-inverse problem corresponding to different scales and is solved successively according to the size of scale from the smallest to the largest. On each scale, regularization Gauss–Newton method is carried out, which is stable and fast, until the optimum solution of original inverse problem is found. The results of numerical simulations demonstrate that the method is a widely convergent optimization method and exhibits the advantages of conventional regularization Gauss–Newton method methods on computational efficiency and precision.