The combination of the regularized operators for horizontal/vertical differentiation and downward continuation in potential fields interpretation

• Published in: Journal of applied geophysics Vol. 182; p. 104188
• Main Authors: Karcol, Roland, Pašteka, Roman
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-11-2020
• Subjects: Differentiation; Downward continuation; Potential fields; Regularization; Potential fields; Differentiation; Regularization; Downward continuation
• ISSN: 0926-9851; 1879-1859
• DOI: 10.1016/j.jappgeo.2020.104188

The differentiation operators (with respect to the Cartesian variables x, y and z) are part of several transformations of the potential fields. The resolution of these operators can be improved if the input filed is continued downward at first. We show the performance of the integrated operator, which combines differentiation and downward continuation in the single operation. The presented combined operator is a regularized by means of the Tikhonov regularization, which provides a strong answer to the instability and ambiguity of gravity and magnetic inverse problems. The solution obtained by combining differentiation and downward continuation into a single operator is more efficient as we will demonstrate by showing tests on synthetic and real data sets.
•The differentiation of downward continued data provides more details.•Two transformations combined in single operation lower regularization error.•Significant save of processing time by setting single regularization parameter•Applicable for both microgravimetry and regional data sets