为了有效地解决在大地电磁反演过程中出现的不适定性、解的不稳定性和非唯一性等问题,提出了基于非负最小二乘法的MT正则化反演算法,该算法的思想是通过引入正则化思想,模型约束目标函数被采用最光滑模型约束正则化矩阵,有效地改善了不适定问题得到有效改善。为了避免常规方法需要对电阻率取对数的情况,引入了快速非负最小二乘法(这里把反演参数设为电阻率,因而必须为正值),从而简化了反演过程中偏导数矩阵的计算。最后试算不同的地电模型,得到稳定的反演结果,表明了此反演算法是有效的。
In order to solve theill - posed, instability and uniqueness in magnetotelluric magnetotelluric regularized inversion algorithmbased onnon-negative least squares. The ill -posed problem has been effectively improved by introducing regularization thought and the model constraint object functionu the smooth constrained regularization matrix. In order to avoid the logarithm of resistivity, the fast non negative least squares method is intro-duced to simplify the calculation of partial derivative matrix. Finally stable inversion result the different geo models it shows that this inversion algorithm is effective.