Model of Markovian processes in a geologic medium by spectral method

The paper discusses the geophysical field simulation. The solution to the problems concerning the study of super long-period processes required the development of new methods of experimental data simulation and analysis. The authors propose the use of the spectral method to solve differential equations to describe the time history of condition probabilities of Markovian processes under nonstationary probabilities of transformations. It is stated that Markovian processes are regarded as the major models for real processes in nature since their mechanism is considered to be a reliable one. The use of the spectral method to solve the systems of differential equations has the following advantages: (1) uniform notion for operations and procedures; (2) uniform notion for one-dimensional signal and the possibility to parametrize the structure. The number of circumstances related to the weakening of the temporary dependences of the models, which in the sphere of operator expressions come to the simple parametrical bonds are of a particular interest The suggested method allows to solve more general tasks and to accumulate information crucial for geological supplements. The paper might be of interest for those who deal with the simulations of natural processes.