Analysis on Convergence of Iteration Method for Potential Fields Downward Continuation and Research on Robust Downward Continuation Method

2009 ◽  
Vol 52 (2) ◽  
pp. 511-518 ◽  
Author(s):  
Hui ZHANG ◽  
Long-Wei CHEN ◽  
Zhi-Xin REN ◽  
Mei-Ping WU ◽  
Shi-Tu LUO ◽  
...  
Keyword(s):  
Iteration Method ◽  
Continuation Method ◽  
Downward Continuation ◽  
Potential Fields

scholarly journals Matlab tool REGCONT2: effective source depth estimation by means of Tikhonov’s regularized downwards continuation of potential fields

2018 ◽  
Vol 48 (3) ◽  
pp. 231-254 ◽  
Author(s):  
Roman Pašteka ◽  
David Kušnirák ◽  
Roland Karcol
Keyword(s):  
Continuation Method ◽  
Downward Continuation ◽  
Potential Fields ◽  
Magnetic Survey ◽  
Unexploded Ordnance ◽  
Size Estimation ◽  
Source Depth ◽  
Sampling Step ◽  
Real World Data ◽  
Near Surface

Abstract Transformation based on downward continuation of potential fields is an important tool in their interpretation – depths of shallowest important sources can be determined by means of stable downward continuation algorithms. We analyse here selected properties of one from these algorithms (based on Tikhonov’s regularization approach) from the scope of two most important discretization parameters – dimensions of the areal coverage of the interpreted field and the sampling interval size. Estimation of the source depth is based on the analysis of computed LP-norms for various continuation depths. A typical local minimum of these norms disappears at the source depth. We show on several synthetic bodies (sphere, horizontal cylinder, vertical rod) and also real-world data-sets (results from a magnetic survey for unexploded ordnance detection) that there is a need for relatively large surroundings around the interpreted anomalies. Beside of this also the sampling step plays its important role – grids with finer sampling steps give better interpretation results, when using this downward continuation method. From this point of view, this method is more suitable for the interpretation of objects in near surface and mining geophysics (anomalies from cavities, unexploded ordnance objects and ore bodies). Anomalies should be well developed and separable, and densely sampled. When this is not valid, several algorithms of interpolation and extrapolation (grid padding methods) can improve the interpretation properties of studied downward continuation method.

High-precision Downward Continuation of Potential Fields Algorithm Utilizing Adaptive Damping Coefficient of Generalized Minimal Residuals

2021 ◽  
Author(s):  
Zhi-Hou Zhang ◽  
Xiao-Long Liao ◽  
Ze-Yu Shi ◽  
Anthony R. Lowry ◽  
Yao Yu ◽  
...  
Keyword(s):  
High Precision ◽  
Downward Continuation ◽  
Damping Coefficient ◽  
Potential Fields

Normalized downward continuation of potential fields within the quasi-harmonic region

2011 ◽  
Vol 59 (6) ◽  
pp. 1087-1100 ◽  
Author(s):  
Maurizio Fedi ◽  
Giovanni Florio
Keyword(s):  
Downward Continuation ◽  
Potential Fields

scholarly journals Numerical Solutions of the Mean‐Value Theorem: New Methods for Downward Continuation of Potential Fields

2018 ◽  
Vol 45 (8) ◽  
pp. 3461-3470 ◽  
Author(s):  
Chong Zhang ◽  
Qingtian Lü ◽  
Jiayong Yan ◽  
Guang Qi
Keyword(s):  
Numerical Solutions ◽  
Mean Value ◽  
Downward Continuation ◽  
Potential Fields ◽  
Mean Value Theorem ◽  
New Methods ◽  
The Mean

One-step compensation downward continuation method free of iteration in wave number domain

2020 ◽  
Vol 55 (2) ◽  
pp. 163-181
Author(s):  
Yu Huang ◽  
Zhenchuan Lv ◽  
Lihua Wu
Keyword(s):  
Continuation Method ◽  
Downward Continuation ◽  
Wave Number ◽  
One Step

The Integral-Iteration Method for Continuation of Potential Fields

2006 ◽  
Vol 49 (4) ◽  
pp. 1054-1060 ◽  
Author(s):  
Shi-Zhe XU
Keyword(s):  
Iteration Method ◽  
Potential Fields
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