TIME-LAPSE INVERSION OF SELF-POTENTIAL DATA USING KALMAN FILTER

CUI Yi-An, WEI Wen-Sheng, ZHU Xiao-Xiong, LIU Jian-Xin
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引用次数: 4

Abstract

It is very common to use the self-potential methods in environmental and engineering applications, especially in some monitoring services. However, the monitored data of each time step are always inverted and interpreted independently. That means the valuable correlation information of time-lapse data is totally ignored. In order to take full advantage of the correlation information, a time-lapse inversion was proposed to promote the reliability of data interpretation. Based on the Darcy's law and Archie's formulas, a dynamic geoelectric model was built to simulate the transportation of contaminant plume in underground porous medium. Then this dynamic model can be used as a state model for the Kalman filtering. And the corresponding observation model can be obtained from conventional self-potential forward calculation. Thus, a Kalman filter recursion can be constructed by using the state model and observation model. During the recursion, the information of geoelectric model evolution and observed self-potential data are fused to achieve a time-lapse inversion of self-potential data. The time-lapse inversion algorithm was tested by both noise added synthetic self-potential data and laboratory observation data from self-potential monitoring over a sandbox. The numerical test shows the validity, robustness, and tolerance to noise of the time-lapse inversion. And the results of physical data test also demonstrate that the time-lapse inversion can invert real time-lapse self-potential data successfully and retrieve the dynamic geoelectric model exactly.

基于卡尔曼滤波的自势数据时移反演
自电位法在环境和工程应用中非常普遍,特别是在一些监测服务中。然而,每个时间步长的监测数据总是被独立地反转和解释。这意味着延时数据中有价值的相关信息被完全忽略了。为了充分利用相关信息,提出了一种时延反演方法,以提高数据解释的可靠性。基于达西定律和阿奇公式,建立了模拟地下多孔介质中污染物羽流运移的动态地电模型。该动态模型可作为卡尔曼滤波的状态模型。通过常规的自势正演计算,可以得到相应的观测模型。因此,可以利用状态模型和观测模型构造卡尔曼滤波递推。在递推过程中,融合地电模型演化信息和自势观测数据,实现自势数据的延时反演。利用加噪合成自电位数据和沙箱自电位监测的实验室观测数据对延时反演算法进行了验证。数值试验结果表明了该方法的有效性、鲁棒性和抗噪声能力。物理资料测试结果也表明,时移反演能够成功地反演实际时移自电位数据,准确地反演出动态地电模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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