利用共轭梯度方法的激发极化三维快速反演

Rapid 3-D inversion of induced polarization data using conjugate gradient method

  • 摘要: 利用共轭梯度方法实现了激发极化(IP)三维快速反演。首先,利用共轭梯度方法反演电位数据,得到地下的三维电阻率模型,(由于避免了直接求偏导数矩阵,因此反演计算速度很快。)然后,以此电阻率模型为地下电导率分布,再反演IP数据得到三维极化率分布理论模型。试算结果表明其效果较好。

     

    Abstract: Rapid 3D induced polarization (IP) inversions algorithm are developed using conjugate gradient (CG) relaxation techniques. At the first stage,the 3D resistivity model is recovered by inverting dc potential data using CG method, it bypasses the computation of the derivative matrix, therefore, the resistivity inversion is computed much quickly. Then, the 3D resistivity model is accepted as the distribution of subsurface resistivity to obtain a chargeability that satisfies the IP data. The algorithm is tested using synthetic model and it shows promising results.

     

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