不同模型约束的SOTEM稳定性反演

短偏移距瞬变电磁法（简称SOTEM）理论上探测精度较高，但由于地下电性结构复杂多样，目前所采用的单一模型约束反演策略具有局限性.本文提出了一种不同模型约束的SOTEM稳定性反演方案，能够快速获得具有光滑型、聚焦型、突变型结构特点的反演结果.该方案引入了光滑泛函、总变分泛函、最小梯度支撑泛函进行不同正则化，将不同稳定泛函重新构造，在统一反演框架下获得不同模型约束反演问题的解，并对正演、迭代过程、雅可比矩阵计算、正则化参数设置等多个细节进行了优化，以提高SOTEM反演的稳定性和效率.通过不同地电模型的大量样本，考察了本文所提的多种优化方案对反演的稳定性和效率的提升效果，对比了采用不同模型约束进行正则化的反演效果，从而验证了所提SOTEM反演方案的稳定性与快速有效性.

Robust inversion of SOTEM data based on different model constraints

Short-Offset transient electromagnetic method (SOTEM) theoretically has high detection accuracy. However, since the underground electrical structures are varied, the inversion scheme with only one specific model constraint is unable to cover various electrical structures. Therefore, we propose a robust SOTEM inversion scheme based on different model constraints, which can quickly obtain the inversion results with the characteristics of smooth, focused, and abrupt structure. The inversion scheme introduces the smooth functional, total variational functional and minimum gradient support functional to implement different regularization. After reconstructing different stabilizing functional, a unified inversion framework is utilized to obtain the solutions of inversion problems with different model constraints. The details of inversion procedure, such as forward modeling, iterative process, Jacobian matrix calculation and regularization parameter setting, are optimized to improve the efficiency and stability of SOTEM inversion scheme. Through a large number of different geoelectric models, the proposed optimized schemes are investigated to demonstrate the improvement on the stability and efficiency of inversion. Also, the inversion results with different model constraints are compared and analyzed. Thus, the stability, efficiency, and accuracy of the proposed SOTEM inversion scheme are verified.