【摘要】 基于两个接收线圈获取的总场相位差和幅度比信息,在二维轴对称非均匀介质中同时重建电导率和介电常数分布。利用电场积分方程和变分原理建立反演方程,然后采用共轭梯度(CG)法进行求解,在每次反演迭代过程中,格林函数保持不变。数值计算结果表明,该方法具有收敛速度快的特点。更多还原

【Abstract】 An inverse method was presented to reconstruct permitt ivity and conductivity profiles in a two-dimensional axisymmetric inhomogeneous medium by using the phase difference and amplitude ratio of the two receiving coils of phase induction logging. The inverse equation was derived by the electric field integral equation and the variation principal, the conjugate gradient (CG) method was used to solve this inverse equation. The Green′s function remained unchanged at each iteration step. Numerical results show that this method has fast convergence.更多还原