## Algorithms of building lineaments in the program GIS-ENDDB

In this paper, we show one of recent GIS-ENDDB algorithms: the algorithm of building seismicity lineaments in terms of Great circles of the Earth. We also show using some other GIS-ENDDB algorithms to identify and to confirm the possibility of existence of global tectonic structures of the lineament type in...

## A 2D numerical model of Novosibirsk reservoir flows using a mixed finite element method

The calculation of the Novosibirsk reservoir ows with the help of the scheme with two splitting steps and a finite element method (FEM) has been carried out. At these steps, for constructing the FEM operators different types of finite elements are used. In particular, at the step corresponding to the...

## Studying tsunami waves propagation above the parabolic bottom topography within the wave-ray approximation

In this paper, the kinematics of the tsunami wave ray and the wave front in the area, where the depth increases proportional to the squared distance to the straight shoreline, is studied. The exact analytical solution for the wave-ray trajectory above the parabolic bottom topography has been derived. This solution...

## Some formulas for families of curves and surfaces and their applications

A unit vector field *τ* in the Euclidean space *E3* is considered. Let ** P** be
the vector field from the first Aminov divergent representation

*K*= div[(

*r•τ*)

**] for the total curvature of the second kind**

*P**K*of the field

*τ*. For the field

**...**

*P*## Relationships between the characteristics of mutually orthogonal families of curves and surfaces

In the Euclidean space *E3*, we consider the family {*Lτ*} of the curves *Lτ*
with the tangent unit vector *τ = τ (x, y, z)* and the family {*Sτ*} of the surfaces *Sτ*
with the unit normal *τ* which are orthogonal to the curves *L...*

## On the conservation laws for a family of surfaces

A family {*Sτ*} of surfaces *Sτ* with the unit normal *τ = τ (x, y, z)* in
the Euclidean space *E3* is considered. The surfaces *Sτ* continuously fill a domain *D*
in *E3*. For the family {*Sτ*} of surfaces *Sτ*, the law...

## Geomorphologic features of the Earth's large cosmogenic structures

This paper presents the generalized methodology for identifying the morpho-structural features of new, supposedly, impact large-size structures. Those are the following: the presence of the bank and the central raising, the presence of the hydrocarbons deposits and the mineral resources of hydrothermal origin on the crater territory, the sharp changes...

## The effective coefficients for 2D elastic equations with multiscale isotropic random mass density and elastic parameters

The propagation of elastic waves in strongly heterogeneous media using subgrid modeling approach is studied. The local elastic parameters and the mass density have essential variations in some interval of scales at each spatial point. To approximate a strongly heterogeneous medium, we have started from the modified Kolmogorov theory in...

## Evaluating the efficiency of the observation system to recover the tsunami source by the r-solution method

In this study, the tsunami source of the 2013 Solomon Island tsunami
event was reconstructed by the *r*-solution method. The focus of this research is
the applying the regularities obtained for a model cases to the real event. To
understand the reasonable strategy of deployment of a tsunami recorders...