Estimating the location of a causative body from a self-potential anomaly using 2D and 3D normalized full gradient and Euler deconvolution

Abstract

Changes in the size and depth of sources greatly affect self-potential (SP) anomalies. Therefore, it is important to determine the location of the source accurately. In the present study, applications of the normalized full gradient (NFG) method and Euler deconvolution (EUD) were described to determine the location of the sphere-like SP body as complementary approaches to other optimization algorithms. The NFG and EUD methods were tested on synthetic, noise-free, and noisy anomalies caused by sphere-like models in two-dimensional (2D) and three-dimensional (3D) cases. Subsequently, the methods were applied to real field data. The importance of the present study lies in the fact that it is the first 3D application of these methods to the SP anomaly caused by the sphere-like model in the literature. In order to determine the optimum harmonic number in the NFG method, a new criterion was used instead of the usual trial-and-error method, providing more reliable selection possibilities. In a similar way, average values were used to determine the window size accurately in the EUD method. The test results of the synthetic and real field models were satisfactory. They showed that both methods are applicable to determine the location of sphere-like structures, such as ore deposits, in self-potential surveys.

Estimating The Location of a Buried Body from Magnetic Anomaly Through Normalized Full Gradient: A Case Study from The Sapinuwa Ancient City, Turkey

“…On the contrary, if those are smaller than 1 represent the minima [16]. Sındırgı and Özyalın (2019) [12] developed a new criterion instead of trial and error method to determine the most appropriate harmonic number. In their article, they obtained the optimum harmonic number by calculating the minimum error values corresponding to different harmonic numbers.…”

“…The NFG technique has been rapidly adopted since the 1960s, and this method has been used by researchers. In particular, it can be applied to identify singular points of potential areas [3][4][5][6][7][8][9][10][11][12][13][14]. In addition, this technique has been successfully applied to seismic methods [15] and electromagnetic methods [16].…”

Application of a Causative Body Reference for the Interpretation of Gravity and Magnetic Anomalies

“…где X′ ГП , X′ ВП , Х′ МЛ -рассчитанные в статье [4] значения взаимно-обратных функций для нормированной горизонтальной производной исходной аномалии V XZ , см. формулу (2). В этом случае кривые для разных аномалий (случаи а, б) отличаются разной формой, что также можно использовать для определения формы тела.…”

“…Интерпретация геофизических полей позволяет выяснить природу аномалий, связать аномалии с геологическими процессами, которые, в свою очередь, привели к образованию наблюдаемых объектов. Также интерпретация аномалий позволяет определить размеры и глубины залегания источников [2]. Автором предлагается аналитический метод, основанный на математических методах обработки данных [3,4].…”