Stability condition numerical solution calculating method and system for standard linear solid model

Abstract

The present invention discloses a stability condition numerical solution calculating method and system for a standard linear solid model. The method comprises: constructing the standard linear solid model; determining a state transfer matrix of stability conditions of model finite difference solution; acquiring a plurality of groups of parameter sets, and enabling each group of parameter sets to comprise an elastic coefficient of a first elastomer, an elastic coefficient of a second elastomer, a viscosity coefficient of a damper, a frequency and a medium density; under set spacial differential accuracy and spacial mesh step, sequentially utilizing each group of parameter sets and carrying out calculation by a computer to enable a module of a feature value of the state transfer matrix to be smaller than a time step of 1; and determining the time step as a numerical solution. According to the stability condition numerical solution calculating method and system disclosed by the present invention, the time step which is more aligned with standard linear solid model numerical simulation of an actual viscoelastic medium can be quantitatively determined; after the time step is determined, numerical simulation based on the standard linear solid viscoelastic medium can be guaranteed to be successfully completed; the efficiency is ensured; the cost is saved; and finally, geological problems in an actual seismic exploration are solved by applying a simulated result.

Description

technical field [0001] The invention relates to the technical field of basic seismic exploration applications, in particular to a calculation method and system for a numerical solution of a stability condition of a finite difference solution of a standard linear solid model. Background technique [0002] Seismic numerical simulation is an important basis for seismic exploration and seismology, and it is also an important tool for understanding the propagation of seismic waves in complex media. Its role runs through the entire seismic acquisition, processing and interpretation. With the deepening of seismic exploration and development, conventional elastic medium theory is difficult to meet the actual medium demand. When the seismic wave propagates in the actual formation, the energy and phase change, which directly affects the resolution of the seismic data. The actual formation shows certain viscoelastic properties. Therefore, the numerical simulation of the seismic wave in...

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Problems solved by technology

[0005] The technical problem to be solved by the present invention is the defects of high cost and low numerica...

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