Image-guided inversion in steady-state hydraulic tomography

被引：26

作者：

Soueid Ahmed, A. ^{[1
]}

Zhou, J. ^{[2
]}

Jardani, A. ^{[1
]}

Revil, A. ^{[2
,3
]}

Dupont, J.P. ^{[1
]}

机构：

[1] Université de Rouen, M2C, UMR 6143, CNRS, Morphodynamique Continentale et CÔtière, Mont Saint Aignan

[2] Colorado School of Mines, Dept of Geophysics, Golden, CO

[3] ISTerre, CNRS, UMR 5275, Université de Savoie, Equipe Volcan, Le Bourget du Lac

来源：

Advances in Water Resources | 2015年 / 82卷

基金：

美国国家科学基金会;

关键词：

Hydraulic tomography; Image-guided-inversion; Transmissivity;

D O I：

10.1016/j.advwatres.2015.04.001

中图分类号：

学科分类号：

摘要：

In steady-state hydraulic tomography, the head data recorded during a series of pumping or/and injection tests can be inverted to determine the transmissivity distributions of an aquifer. This inverse problem is usually under-determined and ill-posed. We propose to use structural information inferred from a guiding image to constrain the inversion process. The guiding image can be drawn from soft data sets such as seismic and ground penetrating radar sections or from geological cross-sections inferred from the wells and some geological expertise. The structural information is extracted from the guiding image through some digital image analysis techniques. Then, it is introduced into the inversion process of the head data as a weighted four direction smoothing matrix used in the regularizer. Such smoothing matrix allows applying the smoothing along the structural features. This helps preserving eventual drops in the hydraulic properties. In addition, we apply a procedure called image-guided interpolation. This technique starts with the tomogram obtained from the image-guided inversion and focus this tomogram. These new approaches are applied on four synthetic toy problems. The hydraulic distributions estimated from the image-guided inversion are closer to the true transmissivity model and have higher resolution than those computed from a classical Gauss-Newton method with uniform isotropic smoothing. © 2015 Elsevier Ltd.

引用

页码：83 / 97

页数：14

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