direct problem

The paper aims to develop an algorithm for identifying the physical (polarizability and resistivity) and geometric (center of mass, orientation, and dimensions) characteristics of local heterogeneities. This is achieved by analyzing induced polarization (IP) potential field data measured at the boundary of the object, using the indirect near-boundary element method. Methodology. A piecewise homogeneous half-plane was chosen as a model of the Earth's crust, where the components are in non-ideal contact.

The paper aims to develop an algorithm for recognizing the physical and geometric parameters of inclusion, using indirect methods of boundary, near-boundary, and partially-boundary elements based on the data of the potential field. Methodology. The direct and inverse two-dimensional problems of the potential theory concerning geophysics were solved when modeling the earth's crust with a piecewise-homogeneous half-plane composed of a containing medium and inclusion that are an ideal contact.

2-D dynamic problem is considered. The source of seismic waves is modeled by shear dislocation. The medium studied is modeled by the system of plain homogeneous and isotropic layers separated by irregular interfaces. The direct problem solution is obtained and the equation for determining the shape of the interface.

An effective algorithm is suggested for obtaining the approximate solution of direct dynamic problem of seismic exploration, using a theory of kinematic and dynamic propagators. The developed algorithm has been included as a subsystems in automated system of quantitative complex interpretation of geologic and geophysical data GCIS. The modeling experiment has shown the adequacy and efficiency of the solution as was compared to traditional grid method of solving the direct dynamic problems.