An Optimal Model of the Equivalent Source for Reduction-to-Plane of Potential Field Data on Uneven Surface and the New Method to Deduce Its Unit Potential Field Expression

2013 ◽  
Vol 56 (4) ◽  
pp. 471-483
Author(s):  
AN Yu-Lin ◽  
CHAI Yu-Pu ◽  
ZHANG Ming-Hua ◽  
HUANG Jin-Ming ◽  
QIAO Ji-Hua
Keyword(s):  
Potential Field ◽  
Field Data ◽  
New Method ◽  
Uneven Surface ◽  
Optimal Model ◽  
Potential Field Data ◽  
Equivalent Source

On: “Correction of topographic distortions in potential‐field data: A fast and accurate approach” by Jianghai Xia, Donald R. Sprowl, and Dana Adkins‐Heljeson (April 1993 GEOPHYSICS, p. 515–523).

Geophysics ◽  
1993 ◽  
Vol 58 (12) ◽  
pp. 1874-1874
Author(s):  
David A. Chapin
Keyword(s):  
Point Source ◽  
Frequency Domain ◽  
Potential Field ◽  
Field Data ◽  
New Method ◽  
Potential Fields ◽  
Potential Field Data ◽  
Source Method ◽  
Equivalent Point ◽  
Breakthrough Technology

Xia et al. do an excellent job developing a new method for using the equivalent point source method in the frequency domain. The transformation from a varying datum to flat datum has always been a major problem in potential fields data. This is because the existing methods to perform this transformation have tended to be cumbersome, time‐consuming, and expensive. I congratulate the authors for this breakthrough technology.

Potential‐field continuation between irregular surfaces—Remarks on the method by Xia et al.

Geophysics ◽  
1998 ◽  
Vol 63 (1) ◽  
pp. 104-108 ◽  
Author(s):  
Bruno Meurers ◽  
Roland Pail
Keyword(s):  
Magnetic Fields ◽  
Potential Field ◽  
Field Data ◽  
Potential Field Data ◽  
Irregular Surfaces ◽  
Equivalent Source ◽  
Wavenumber Domain ◽  
Excellent Method ◽  
Reducing Potential ◽  
Field Continuation

Xia et al. (1993) offer an excellent method for potential‐field continuation between irregular surfaces by applying the equivalent source technique. This method has proven to be the fastest and most stable procedure for solving the problem of reducing potential‐field data to a constant datum (e.g., Pail, 1995) as long as no sources exist between observation surface and the equivalent stratum. The authors suggest using special equations for the continuation of magnetic fields. Theoretically this is correct, but neither necessary nor well suited, because of the characteristics of the operator for magnetic fields applied in the wavenumber domain.

scholarly journals A NEW METHOD OF INTERPRETATION OF SELF‐POTENTIAL FIELD DATA

Geophysics ◽  
1948 ◽  
Vol 13 (4) ◽  
pp. 600-608 ◽  
Author(s):  
L. de Witte
Keyword(s):  
Potential Field ◽  
Field Data ◽  
Field Work ◽  
Data Interpretation ◽  
New Method ◽  
Positive Maximum ◽  
Potential Field Data ◽  
Negative Center ◽  
Location Depth ◽  
Self Potential

In this paper a new, efficient method is worked out for the interpretation of self‐potential field data. Interpretation of location, depth and dip of the ore body is made, using a pattern of equipotential lines. The negative center and the positive maximum of the potential are found and also the so‐called “mid‐value” point. The dip α, can be determined accurately for values between 5° and 85°. The method cannot be used for vertical polarization. The depth and location can be found with relative accuracy for α>10°. The main advantage of this new method is the ease of interpretation and a greater accuracy for the high‐dip angles. It should be stressed that, for correct and accurate interpretation, the positive maximum is as important as the negative center. Therefore, it should be carefully sought during the field work, and mapped to its full extent.

Correction of topographic distortions in potential‐field data: A fast and accurate approach

Geophysics ◽  
1993 ◽  
Vol 58 (4) ◽  
pp. 515-523 ◽  
Author(s):  
Jianghai Xia ◽  
Donald R. Sprowl ◽  
Dana Adkins‐Heljeson
Keyword(s):  
Potential Field ◽  
Field Data ◽  
Gravity Data ◽  
Source Distribution ◽  
Potential Field Data ◽  
Equivalent Source ◽  
Horizontal Shift ◽  
Maximum Elevation ◽  
Rms Error ◽  
Forward Calculation

The equivalent source concept is used in the wavenumber domain to correct distortions in potential‐field data caused by topographic relief. The equivalent source distribution on a horizontal surface is determined iteratively through forward calculation of the anomaly on the topographic surface. Convergence of the solution is stable and rapid. The accuracy of the Fourier‐based approach is demonstrated by two synthetic examples. For the gravity example, the rms error between the corrected anomaly and the desired anomaly is 0.01 mGal, which is less than 0.5 percent of the maximum synthetic anomaly. For the magnetic example, the rms error is 0.7 nT, which is less than 1 percent of the maximum synthetic anomaly. The efficiency of the approach is shown by application to the gravity and aeromagnetic grids for Kansas. For gravity data, with a maximum elevation change of 500 m reducing to a horizontal datum results in a maximum correction in gravity anomaly amplitude of up to 2.6 mGal. For aeromagnetic data, the method results in a maximum horizontal shift of anomalies of 470 m with a maximum correction in aeromagnetic anomaly amplitudes up to 270 nT.

scholarly journals Potential field continuation: a comparative analysis of three different types of software

1998 ◽  
Vol 41 (3) ◽  
Author(s):  
M. Ciminale ◽  
M. Loddo
Keyword(s):  
Comparative Analysis ◽  
Potential Field ◽  
Field Data ◽  
Sparse Matrix ◽  
Linear Equations ◽  
System Of Linear Equations ◽  
Potential Field Data ◽  
Equivalent Source ◽  
Different Types ◽  
Field Continuation

DARING.F is a new Fortran77 computer program which has been developed to perform the continuation of potential field data between arbitrary surfaces. The implemented equivalent source algorithm inverts a system of linear equations by using sparse matrix. A comparative analysis between the performance of this software and that of two computer programs (named UPWARD.F and UPNEW.F) previously written by the same authors is carried out. As a result of this analysis, some useful and important suggestions on how to obtain the highest level of accuracy of transformed data in various situations (i.e. large matrices of data, close surfaces) are given.

An improved approach for detecting the locations of the maxima in interpreting potential field data

2021 ◽  
Vol 14 (1) ◽  
Author(s):  
Luan Thanh Pham ◽  
Ozkan Kafadar ◽  
Erdinc Oksum ◽  
Ahmed M. Eldosouky
Keyword(s):  
Potential Field ◽  
Field Data ◽  
Potential Field Data
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