В. И. Дмитриев

ORCID: 0000-0002-4136-675X
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Research Areas
  • Geophysical and Geoelectrical Methods
  • Numerical methods in inverse problems
  • Electromagnetic Scattering and Analysis
  • Underwater Acoustics Research
  • Advanced Mathematical Modeling in Engineering
  • Geophysical Methods and Applications
  • Statistical and numerical algorithms
  • Heat Transfer and Mathematical Modeling
  • Geomagnetism and Paleomagnetism Studies
  • Earthquake Detection and Analysis
  • Geotechnical and Geomechanical Engineering
  • Electromagnetic Simulation and Numerical Methods
  • Seismic Waves and Analysis
  • Seismic Imaging and Inversion Techniques
  • Industrial Engineering and Technologies
  • Advanced Numerical Analysis Techniques
  • Electric Power Systems and Control
  • Electrical and Bioimpedance Tomography
  • Reservoir Engineering and Simulation Methods
  • Differential Equations and Boundary Problems
  • Agricultural Productivity and Crop Improvement
  • Iterative Methods for Nonlinear Equations
  • Neural Networks and Applications
  • Geophysics and Gravity Measurements
  • Differential Equations and Numerical Methods

MIREA - Russian Technological University
2024

Samara State Technical University
2023

Irkutsk State University
2019-2021

Lomonosov Moscow State University
2011-2020

South-West State University
2011-2016

Moscow State University
1998-2013

Petrozavodsk State University
2012

Osipyan Institute of Solid State Physics RAS
2002

The paper presents the views of 2-D interpretation magnetotelluric (MT) data that are characteristic Russian school. Discussing strategy MT data, we have to answer three questions. In decreasing order importance, these questions as foloows. (1) Which field mode is more sensitive near-surface and deep structures targets surveys? (2) robust 3-D effects caused by real geological bodies? (3) susceptible static shift induced inhomogeneities?

10.1046/j.1365-246x.1998.01333.x article EN Geophysical Journal International 1998-06-01

It is widely believed that the Tikhonov-Cagniard model can be applied in magnetotelluric method of exploration geophysics if horizontal field changes are sufficiently slow. Actually, this overly restrictive and may give rise to unjustified doubts about validity model. This paper shows condition determining applicability linearity changes, rather than slowness these changes. considerably extends sphere practical applications

10.1109/proc.1979.11386 article EN Proceedings of the IEEE 1979-01-01

The quasi‐linear approximation for electromagnetic forward modeling is based on the assumption that anomalous electrical field within an inhomogeneous domain linearly proportional to background (normal) through reflectivity tensor λ⁁. In original formulation of approximation, λ⁁ was determined by solving a minimization problem integral equation scattering currents. This approach much less time‐consuming than full method; however, it still requires solution corresponding system linear...

10.1190/1.1444859 article EN Geophysics 2000-11-01

10.21821/2309-5180-2017-9-6-1149-1158 article EN Vestnik Gosudarstvennogo universiteta morskogo i rechnogo flota imeni admirala S O Makarova 2017-12-28

We introduce a new approach to 3-D electromagnetic (EM) modeling for models with large conductivity contrast. It is based on the equations integral current within cells of discretization grid, instead electric field or themselves, which are used in conventional integral-equation method. obtain these currents by integrating density over each cell. The can be found accurately bodies any conductivity. As result, method applied, principle, high-conductivity At same time, knowing inside anomalous...

10.1109/tgrs.2007.893562 article EN IEEE Transactions on Geoscience and Remote Sensing 2007-04-30

In this paper, we study the anisotropy effect in IP data context of generalized effective‐medium theory induced polarization (GEMTIP). The conductivity defined by GEMTIP model, a general case, is represented tensor function. This tensorial property provides new insight on phenomenon effect. As an example, consider multiphase composite polarized model rock formation with ellipsoidal inclusions. We demonstrate that effective may be anisotropic, even if host and all grains are electrically isotropic.

10.1190/1.3063740 article EN 2008-01-01

10.1007/s10598-010-9065-7 article EN Computational Mathematics and Modeling 2010-04-01

10.1007/s10598-012-9139-9 article EN Computational Mathematics and Modeling 2012-07-01

Since the discovery of electromagnetic waves and formulation Maxwell's equations, theory has become one most important branches mathematical physics. The variety problems in electrodynamics often stimulated raising development new Examples are study interior structure earth by methods, which promoted general inverse problems; propagation non-homogeneous media, led to diffraction; transmission ultra-high frequency waves, wave-guide oscillations; synthesizing systems antennae various...

10.1070/rm1976v031n06abeh001582 article EN Russian Mathematical Surveys 1976-12-31

10.1007/s10598-012-9117-2 article EN Computational Mathematics and Modeling 2012-01-01

10.1016/0041-5553(70)90187-4 article EN USSR Computational Mathematics and Mathematical Physics 1970-01-01

10.1023/b:comi.0000023521.98125.45 article EN Computational Mathematics and Modeling 2004-04-01

10.1023/a:1015253228544 article EN Computational Mathematics and Modeling 2002-01-01
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