Problems of geological modeling

Abstract

Currently, there are many geological modeling approaches based on the interpreted data of hydrodynamic studies and geophysical surveys, but all of them are based on numerical methods of interpolation and approximation. Apart from calculating function values, interpolation has other numerous applications. The main purpose of interpolation is reduced to finding the given function (by which the method is determined) coefficients, so that the curve or the surface passes through the given points. When choosing a particular method, a number of problems arise related to the adequacy of the choice of the method by which it is possible to get the most accurate geological model. The problem is that one or another function type may partially repeat the natural essence of the object reflected (in the model) or not to repeat it at all. However, the function selection (interpolation method) can be verified only upon receipt of additional data. At this point of development of interpolation, extrapolation and approximation methodology, there is also a problem of representation and storage of the information describing relationship between the function values and arguments. The study revealed that the error of function surface construction on the basis of non-linear interpolation is related to a number of features of the method applied. In order to minimize computational errors a number of new methods of interpolation have been developed and implemented in HydraSym software calculation complex, which can be applied to geological modeling.