## The Laguerre spectral method for solving dynamic problems in porous media

The paper illustrates the applicability of the Laguerre spectral method to solving a one-dimensional problem of the dynamics of a saturated porous medium. A one-dimensional non-stationary problem of a pulsed action on a saturated porous medium is investigated taking into account the effects of electromagnetoacoustics. The features of the acoustic...

## The Creepex-analysis of processes in large earthquakes focal zones by the GIS-ENDDB tools on the Tohoku example

The paper explores the possibility of modifying the creepex (creep and
explosion) parameter, an increase in its informativeness and applicability of using
public catalogs by the GIS-ENDDB geoinformation system. Instead of the canonical
form of the creepex (Cr = *MS - kmb - l*), the introduced normalized...

## The variation approach to travel-time calculations on regular grids

Application of the variation method to simulate tsunami wave rays and to estimate the wave travel times corresponding is studied. In some cases, the wave ray determined by this method, connecting two points of the water area, may not present the global extreme, which provides the shortest tsunami travel time...

## A deep model of the multi-ring structures formation in the Earth relief

In order to explain the process of forming the outer rings of an impact crater, a model of an underground explosion of an impactor penetrating into the target is proposed. Intense crushing of the surface rocks is explained by the effect of the primary compression wave if it propagates from...

## Modeling the inhomogeneous two-phase flows with an admixture in inclined channels

The paper studies the flow of a two-phase medium in a gravity field channel. The thermodynamically consistent equations of the mathematical model of the dynamics of a two-velocity medium with an admixture were developed within the framework of the method of conservation laws. Its numerical implementation was carried out based...

## The HLL method for solving the Riemann problem in compressible two-velocity media

The paper considers a system of equations of motion of a two-phase medium with phase equilibrium in terms of pressure and temperature. The spectral analysis of the system was carried out for a one-dimensional case. Approximate numerical solutions of the Riemann problem about the decay of an arbitrary discontinuity were...