Forward Procedure of Magneto-Acousto-Electric Signal in Radially Stratified Medium of Conductivity for Logging Models

Magneto-acousto-electric tomography (MAET) is known as a method of impedance tomography, with the procedure of acoustic waves propagating in a static magnetic field and producing the electric signal attributing to Lorentz force. We analyze the method of calculating the electric signal with given sound sources and magnetic field in the radially stratified medium of conductivity. It consists of finding an analytic solution of the sound propagating in homogeneous acoustic medium and applying to the data one of the algorithms (the FD method) for the electric scalar potential field. The ideal well logging model is considered in our algorithm, which is very different from the ordinary one in arrangement of the sound sources and electrodes in medical tomography. Combining the analytical and numerical methods in coupled fields for the well logging model is a stable algorithm in forward procedure of MAET.