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Simulation of a Multi-Frequency Continuous-Wave Reconstruction Technique for Subsurface Conductivity and Dielectric-Constant Profiles

机译:地下电导率和介电常数分布的多频连续波重构技术的仿真

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摘要

In this paper, an efficient inversion method to reconstruct conductivity and dielectric-constant profiles by launching a continuous sinusoidal wave from the surface of a layered medium is presented. The reconstruction code consists of two main parts: the forward model and the inversion algorithm. Two forward models are developed for applications in shallow subsurface sensing and nondestructive evaluation of disbonding in a layered dielectric medium. In the inversion process, the Jacobian Matrix method is used to modify the inverted profile iteratively toward the real formation profile. A constrained optimization method is applied in order to obtain maximum stability when noise is present. The choice of the discrete frequencies depends on the required spatial resolution, investigation depth, and the parameters to be inverted. At the present stage, only synthetic models with signal-to-noise ratio around 40 dB are used to test the inversion method. The conductivity and the dielectric constant profiles for different kinds of synthetic models are satisfactorily reconstructed by using this method.
机译:本文提出了一种有效的反演方法,通过从层状介质表面发射连续正弦波来重建电导率和介电常数分布。重构代码包括两个主要部分:正向模型和反演算法。开发了两个正向模型,用于浅层地下传感和分层电介质中剥离的非破坏性评估。在反演过程中,使用雅可比矩阵法将反演剖面迭代地修改为真实地层剖面。应用约束优化方法以便在存在噪声时获得最大的稳定性。离散频率的选择取决于所需的空间分辨率,调查深度和要反转的参数。在目前阶段,仅使用信噪比约为40 dB的综合模型来测试反演方法。使用该方法可以令人满意地重建不同种类的合成模型的电导率和介电常数分布。

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