Numerical simulation of seismoelectric wave-fields with close or same depths of the sources and receivers

Using the Luco-Apsel-Chen generalized reflection and transmission method, we have conducted numerical simulation of seismoelectric wave-fields in layered porous media. However, when the depths of the sources and receivers are close or same, the convergence rate of the response function becomes very slow, which is difficult to realize in numerical calculation. The case of sources and receivers with close or same depths, which surely exist in exploration applications, should be properly solved, so as to carry out seismoelectric inversion study in the future. In this work, the peak-trough averaging method (PTAM), which has been proposed as an effective tool to deal with the same problem in calculating synthetic seismograms, is adopted to compute seismoelectric wave-fields. The results show that seismoelectric wave-fields with sources and receivers at same or close depths can be effectively and precisely calculated by using the PTAM.