Numerical modeling of borehole-to-surface logging technology based on incomplete Cholesky conjugate gradient

For vertical line source, the total potential is divided into normal potential and abnormal one to eliminate singularity in this paper. Normal potential produced in homogeneous half-space is calculated by analytic method. While for abnormal potential produced by underground anomalous body, the finite difference method is used based on differential equation of abnormal potential. Further, the total potential is calculated and the forward is realized. Accordingly, incomplete Cholesky conjugate gradient that is introduced in this paper gives the analytical solution of equation, it converges more quickly while requiring less memory. It is an initiation to introduce a dipping bed model to indicate potential distribution produced by underground anomalous body.