Abstract. The modification of the matrix method for constructing the displacement field on the free surface of an anisotropic layered medium is presented. The source of seismic waves is modelled by a randomly oriented force and seismic tensor. A trial and error method is presented for solving the inverse problem of determining parameters of the earthquake source. A number of analytical and numerical approaches to determining the earthquake source parameters, based on the direct problem solutions, are proposed. The focal mechanisms for the events in the Carpathian region of Ukraine are determined by the graphical method. The theory of determination of the angles of orientation of the fault plane and the earthquake's focal mechanism are presented. The focal mechanisms obtained by two different methods are compared.
A horizontally layered elastic structure containing a homogeneous porous layer saturated partly with gas and partly with water is considered. The paper is aimed at studying of interaction of elastic waves, caused by local pulse source, with the structure. The boundary-value problem describing the wave dynamics of the structure is formulated. A mathematical model describing distributions of the gas and water in a pore space of the porous layer depending of the amount of the gas accumulated in the layer is developed. The problem is solved with the use of Fourier transform. It was established that wavefield pattern on the free surface of the structure is dependent on amount of gas accumulated in the porous layer. Quantitative measures relating the wavefield parameters on the structure's free surface and the amount of gas accumulated in the porous layer are introduced. The obtained results can be used to develop distance methods for accounting of amount of natural gas accumulated in underground gas storage facilities built in aquifers.
Abstract. The modification of the matrix method for constructing the displacement field on the free surface of an anisotropic layered medium is presented. The source of seismic waves is modelled by a randomly oriented force and seismic tensor. A trial and error method is presented for solving the inverse problem of determining parameters of the earthquake source. A number of analytical and numerical approaches to determining the earthquake source parameters, based on the direct problem solutions, are proposed. The focal mechanisms for the events in the Carpathian region of Ukraine are determined by the graphical method. The theory of determinating the angles of orientation of the fault plane and the earthquake's focal mechanism is presented. The focal mechanisms obtained by two different methods are compared.
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