A constrained and adaptive regularized 1D inversion method of multi-source semi-airborne transient electromagnetics
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摘要: 基于多辐射场源半航空瞬变电磁法,研究了一种带约束的适用于垂直分量的一维自适应正则化反演算法。该算法在Occam反演的基础上,采用CMD自适应调节方案改进了拉格朗日乘子的处理方式,利用自然边界条件和模型修正量可行下降方向法对反演过程进行约束,在提高反演过程计算效率的同时,保证反演结果的稳定性和可靠性。层状模型试算结果表明,该算法可以通过较少的迭代次数和计算时间获得较好的反演结果,HK型模型的反演结果证实该算法对层数更多的复杂地电构造仍具有较好的适应性和有效性;含噪数据的反演结果表明即使包含噪声,不超过10次迭代即可获得满意的结果,反演算法具有较好的稳定收敛性,验证了该算法进行多辐射场源半航空瞬变电磁资料解释的可行性和有效性。Abstract: This study proposed a constrained and adaptive regularized 1D scheme for the vertical component inversion of semi-airborne transient electromagnetics. Based on the Occam inversion, the CMD adaptive regulation scheme was used to calculate the Lagrange multiplier. Meanwhile, the feasible descent direction method with natural boundary conditions and model correction was introduced to constrain the inversion process. This combined algorithm can both improve the computational efficiency of the inversion process and guarantee the stability and reliability of inversion results. The results of layered models show that this algorithm can obtain ideal inversion results with a short iteration and computation time. Owing to the shielding effect of conductive layers and the insensitivity to resistive layers of transient electromagnetics, the inversion results of the HK model can only get the average resistivity of underlying layers. The results of the HK model verify the adaptability and effectiveness of this algorithm proposed in this study for complex geoelectric structures. A satisfactory inversion result was achieved from noise-included signals through no more than ten iterations. This algorithm exhibited good stability and convergence in numerical simulation, thus verifying that it is a feasible and effective method for interpretations of multi-source semi-airborne transient electromagnetic data.
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Key words:
- multi-source /
- semi-airborne transient electromagnetic method /
- adaptive /
- regularization /
- 1D inversion
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