Science and technological developments: article

APPLICATION OF A COMBINED APPROACH BASED ON ANALYTICAL APPROXIMATIONS AND CONSTRUCTION OF GRAVITY FIELD INTEGRAL CURVES FOR THE INTERPRETATION OF MARINE AND AIRBORNE GRAVITY DATA
I.E. STEPANOVA1,2
A.V. SHCHEPETILOV3
A.M. SALNIKOV1,4
P.S. MIKHAILOV1,2
V.V. POGORELOV1,2
A.V. BATOV5,2,4
V.A. TIMOFEEVA5,2,6
1 Schmidt Institute of Physics of the Earth RAS 2 Sirius University of Science and Technology 3 Lomonosov Moscow State University 4 Trapeznikov Institute of Control Sciences of Russian Academy of Sciences 5 Russia, 123242, Moscow, Bolshaya Gruzinskaya str. 10, bld. 1 6 Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences
Journal: Science and technological developments
Tome: 99
Number: 4
Year: 2020
Pages: 34-52
UDK: 550.831+550.838
DOI: 10.21455/std2020.4-2
Аnnotation file
Bibliographic list
Keywords: integral curves, approximation, structural-parametric approach, gravitational field of the Earth, relief, digital model, SLAE, vector field
Аnnotation: The development of a structural-parametric approach to the construction of analytical approximations is considered. Within the framework of the new method, which includes modified S-approximations and finding the integral curves of the vector field, a method is proposed for finding the analytical continuation of the field in the case of profile (route) geophysical measurements. The results of a mathematical experiment using real data on the anomalous gravitational field from the data of marine areal gravimetric survey and airborne gravimetric route survey are presented. It is shown that the proposed analysis algorithm is promising for finding analytic continuations of geopotential fields within a certain neighborhood of the measurement profile in the absence of a sufficient volume of areal data.