用一种新的反演方法评价诱导极化测量结果

IF 1.4 4区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Acta Geodaetica et Geophysica Pub Date : 2021-08-12 DOI:10.1007/s40328-021-00355-3
Tamás Fancsik, Endre Turai, Norbert Péter Szabó, Judit Somogyiné Molnár, Tünde Edit Dobróka, Mihály Dobróka
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引用次数: 0

摘要

本文提出了一种新的反演方法来处理实验室测量的诱导极化数据。在新的程序中,基于级数展开的反演概念与目标函数的更一般定义相结合。假设激电效应的时间常数谱是由一系列狄拉克函数近似的线谱,从而得到一个平方可积的正问题公式。这就给出了广义目标函数的适用性。膨胀系数作为未知数表示反演过程的模型参数。我们使用新的反演程序对来自匈牙利东北部Recsk矿杂岩的岩石样品测量的表观极化率数据集进行了测量。反演结果与另外三个实验室数据集的结果进行了比较,这些数据集是在同一地区采集的富含矿石的样品上测量的。并与传统的基于级数展开的最小二乘法进行了比较。结果表明,该方法具有较好的参数估计精度和稳定性。
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Evaluation of induced polarization measurements using a new inversion method

In this paper, a new inversion method is proposed to process laboratory-measured induced polarization (IP) data. In the new procedure, the concept of the series expansion-based inversion is combined with a more general definition of the objective function. The time constant spectrum of the IP effect is assumed a line spectrum approximated by a series of Dirac’s delta function resulting in a square-integrable forward problem formula. This gives the applicability of the generalized objective function. The expansion coefficients as unknowns represent the model parameters of the inversion procedure. We use the new inversion procedure on an apparent polarizability dataset measured on a rock sample originated from the Recsk ore complex, northeast Hungary. The inversion results was compared to those of three additional laboratory datasets, which were measured on samples rich in ore minerals collected from the same area. The results are compared to those given by the traditional series expansion-based least squares method. It is shown that the newly proposed method gives more accurate and stable parameter estimation.

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来源期刊
Acta Geodaetica et Geophysica
Acta Geodaetica et Geophysica GEOCHEMISTRY & GEOPHYSICS-
CiteScore
3.10
自引率
7.10%
发文量
26
期刊介绍: The journal publishes original research papers in the field of geodesy and geophysics under headings: aeronomy and space physics, electromagnetic studies, geodesy and gravimetry, geodynamics, geomathematics, rock physics, seismology, solid earth physics, history. Papers dealing with problems of the Carpathian region and its surroundings are preferred. Similarly, papers on topics traditionally covered by Hungarian geodesists and geophysicists (e.g. robust estimations, geoid, EM properties of the Earth’s crust, geomagnetic pulsations and seismological risk) are especially welcome.
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