Solution of the Interpretation Tomography Problem in Geophysics under the Linear Integral Representation Method and Theories of Discrete Gravity and the Magnetic Potential

被引:4
作者
Stepanova, I. E. [1 ]
Kolotov, I. I. [2 ]
机构
[1] Russian Acad Sci, Schmidt Inst Phys Earth, Moscow 123995, Russia
[2] Moscow MV Lomonosov State Univ, Moscow 119991, Russia
关键词
inverse problems in geophysics; theories of discrete gravity and the magnetic potential; S-APPROXIMATION METHOD; ALGEBRAIC EQUATIONS; INVERSE PROBLEMS; GRAVIMETRY; MAGNETOMETRY; UNIQUENESS; SYSTEMS;
D O I
10.1134/S1028334X24600907
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
A fundamentally new approach to solving inverse problems in geophysics based on the linear integral representation method and the theories of discrete gravity and the magnetic potential is proposed. This approach makes it possible to reconstruct the continuously distributed masses with a relatively high accuracy from the heterogeneous data at some grid points.
引用
收藏
页码:835 / 843
页数:9
相关论文
共 14 条
[1]  
Arsanukaev ZZ, 2004, IZV-PHYS SOLID EART+, V40, P935
[2]   Density Anomalies in Subsurface Layers of Mars: Model Estimates for the Site of the InSight Mission Seismometer [J].
Gudkova, T. V. ;
Stepanova, I. E. ;
Batov, A. V. .
SOLAR SYSTEM RESEARCH, 2020, 54 (01) :15-19
[3]   On the Uniqueness of Solutions to Systems of Linear Algebraic Equations Resulting from the Reduction of Linear Inverse Problems of Gravimetry and Magnetometry: a Local Case [J].
Kolotov, I. I. ;
Lukyanenko, D. V. ;
Stepanova, I. E. ;
Yagola, A. G. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (08) :1452-1465
[4]   On the Uniqueness of Solution to Systems of Linear Algebraic Equations to Which the Inverse Problems of Gravimetry and Magnetometry Are Reduced: A Regional Variant [J].
Kolotov, I. I. ;
Lukyanenko, D. V. ;
Stepanova, I. E. ;
Shchepetilov, A. V. ;
Yagola, A. G. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (09) :1588-1599
[5]  
Koshlyakov N. S., 1962, MAIN DIFFERENCE EQUA
[6]  
Lavrent'ev M. A., 1950, COURSE VARIOUS CALCU
[7]  
MESSENGER Mission, MAGN MAG INSTR
[8]   The modified method of S-approximations: Regional version [J].
Raevskiy, D. N. ;
Stepanova, I. E. .
IZVESTIYA-PHYSICS OF THE SOLID EARTH, 2015, 51 (02) :197-206
[9]   Approximation Approach in Various Modifications of the Method of Linear Integral Representations [J].
Stepanova, I. E. ;
Kerimov, I. A. ;
Yagola, A. G. .
IZVESTIYA-PHYSICS OF THE SOLID EARTH, 2019, 55 (02) :218-231
[10]  
Strakhov V.N, 2002, Phys. Solid Earth, V38, P535