the Analysis of a superficial thermal stream. A method of modelling calculations

you are: the Analysis of a superficial thermal stream

Geothermal conditions in earth crust and the top cloak are described as a first approximation by the equation of stationary heat conductivity for a two-dimensional profile.

To construct satisfactory geophysical models for the received distributions of temperature on depth, it is necessary to choose from all family of models (just as it becomes at the decision of return problems in gravimetrii) optimum models in which values of temperature and the thermal stream, calculated for a terrestrial surface, coincide with materials of supervision.

For this purpose it is necessary to receive the decision of the equation for any kind of its right part. In cases of two-and a three-dimensional problem it can be made only numerical methods, for example by approximation of the equation by means of final differences. The received system of the linear equations effectively dares by means of an implicit method of variable directions, or an ADI-method.

In a selection problem the first taken model is exposed to stage-by-stage improvement. Imposing on selected model the restrictions corresponding lateralnym to variations of a field, it is possible to receive optimum distribution of values of allocated heat.

During such process of optimisation at the equation decision use numerical receptions of an ADI-method. Find the first temperature distribution from which it is possible to receive a superficial thermal stream q0. Between an observable thermal stream q and its calculated value q0 generally there would be some difference; it also is used for transition from first model/0 to the optimised model.

Now the problem consists in how to reduce a difference between the observable and calculated thermal stream to a minimum.