Simulation of acousto-electric well logging based on simplified pride equations

A numerical full-waveform simulation method is proposed to study the acousto-electric well logging response. The acoustic field, taken as uninfluenced by the converted electric field, is solved separately. The electric field is taken as quasi-steady. A point pressure source is assumed to be on the borehole axis. The full Biot theory is adopted to obtain expressions of the acoustic field around the borehole. These acoustic expressions are then used to formulate the converted electric fields in and out of the borehole. In the calculated full waveforms of the converted electric field, there are electric waves that accompany the compressional, the shear and the Stoneley waves. And there is a critically refracted electromagnetic wave, which travels along the borehole wall. The waveforms are practically the same as calculated with the full Pride theory under frequency of 25kHz.