ISSN 1009-6248CN 61-1149/P 双月刊

主管单位:中国地质调查局

主办单位:中国地质调查局西安地质调查中心
中国地质学会

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    基于平滑反演先验约束的瞬变电磁定源回线一维反演研究

    One-Dimensional Inversion of Source-Loop Transient Electromagnetics Based on Smoothed Inversion-Derived Prior Model

    • 摘要: 为取得瞬变电磁精细化反演结果,提高其对地质问题的解译精度,开展不同初始模型下的反演研究具有重要意义。研究选取了均匀半空间模型和平滑因子最小二乘法反演结果模型两种不同的初始模型,以三层地电模型(H型、K型)的正演响应数据进行不同初始模型下的平滑因子最小二乘法与正则化-阻尼最小二乘法反演运算,对比分析不同初始模型下的反演效果;利用实测数据进行与正演拟合数据相同的反演计算,选取单点不同衰减时二次场归一化电位、电阻率、反演结果模型及其对应误差进行对比分析,结合地质资料对某一完整电阻率剖面进行反演效果分析,并通过工程案例校验研究结论。结果表明:以均匀半空间为初始模型进行的平滑因子最小二乘法反演与瞬变电磁数据的拟合效果较差;同等条件下的正则化-阻尼最小二乘法虽能较为真实地反映地层特征,但对深部地层信息的刻画不及初始模型为平滑因子最小二乘法反演结果模型;以平滑因子最小二乘法反演结果作为初始模型的正则化–阻尼最小二乘法反演结果对地下地质条件的反映更加准确。研究结果揭示了不同初始模型的选择会对TEM数据反演效果产生显著影响。通过对比分析,进一步证实了以平滑因子最小二乘法反演结果作为初始模型的正则化–阻尼最小二乘法反演在精确度和可靠性方面具有较大优势。研究成果为瞬变电磁法在复杂地电结构探测中的应用提供了重要参考和实践指导。

       

      Abstract: To achieve refined inversion outcomes of TEM and enhance the precision of geological problem interpretation, conducting research on inversions under different initial models holds substantial significance. This study selected two distinct initial models: the homogeneous half-space model and the model derived from the inversion result of the least-squares method with a smoothing factor. Initially, the forward-response data of a three-layer geoelectric model (H-type and K-type) were utilized to conduct inversion computations via the least-squares method with a smoothing factor and the regularization-damped least squares method under different initial models. The inversion performances under various initial models were then compared and analyzed. Subsequently, field - measured data were employed to perform inversion calculations identical to those of the forward - fitting data. The normalized potential of the secondary field at a single point with different decay times, resistivity, the result model, and their corresponding errors were selected for comparative analysis. Additionally, the inversion effect of a complete apparent-resistivity profile was analyzed in conjunction with geological data. Finally, the research findings were validated through engineering cases. The results show that: The inversion of the least - squares method with a smoothing factor is poorly fitted with transient electromagnetic data. Under equivalent conditions, although the regularization-damped least squares method can more realistically reflect the stratal characteristics, its depiction of deep - stratum information is less accurate compared to when the initial model is the inversion - result model of the least - squares method with a smoothing factor. The inversion result of the regularization-damped least-squares method, with the inversion result of the least-squares method with a smoothing factor serving as the initial model, provides a more precise reflection of the underground geological conditions. The choice of different initial models exerts a remarkable influence on the inversion effect of TEM data. Through comparative analysis, it is further verified that the inversion of the regularization-damped least-squares method, with the inversion result of the least-squares method with a smoothing factor as the initial model, enjoys significant advantages in terms of accuracy and reliability. This conclusion offers crucial references and practical guidance for the application of the TEM in detecting complex geoelectric structure.

       

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