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3D Electrical Resistivity Tomography with Sparse Regularization
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 81st EAGE Conference and Exhibition 2019, Jun 2019, Volume 2019, p.1 - 5
Abstract
During the hydraulic fracturing experiments in laboratory, monitoring fracturing fluid flow and rupture process are significant. Acoustic emission monitoring is the primary means but is not sensitive to liquid. We propose to use electrical resistivity tomography to reconstruct the resistivity distribution of core. Finite element method is used to solve forward equation to ensure accuracy of the numerical simulation. Inverse problem is solved by Gauss-Newton method. The conductivity can be viewed as homogeneous except for areas filled with fracturing fluid in the core. So, conductivity model is piecewise-constant model that is sparse in gradient domain. The sparsity regularization is applied to our research to improve resolution of reconstruction images. Through the synthetic and experiment data, electrical resistivity tomography has proved to work on reconstructing the conductivity distribution of small target. During hydraulic fracturing, electrical resistivity tomography could be used for monitoring the conductivity and the sparse regularization can improve the resolution of reconstruction images.