A Regularization Method for an Inverse Problem Represented by a First-Kind Integral Equation

The solution to the direct problem of geothermic under sedimentation conditions for geothermal reservoirs is considered. The main factors forming the thermal field of sedimentary basins are taken into account in the most complete way—the consumption of heat flow energy on the base for heating of cold sedimentary material, partial shielding of heat flow due to the difference of thermophysical sediments and base rocks, heat generation in accumulating sediment, and different rates of sedimentation. The problem of calculating the value of heat flux from the foundation based on temperature observations in wells—the inverse problem of geothermic in sedimentation conditions—has also been stated.