Mathematical modeling of geothermal energy from a well extraction

Abstract

Abstract The authors of the article examine the possibility of extracting geothermal energy to the Earth’s surface using the circulation of a heat carrier – water. For this purpose, an oil well is operated that is already suspended and is no longer used for its original purpose. A system of heat and mass transfer equations describing heat distribution in the ground around the well and in the coolant is presented. A mathematical model is developed for calculating the heat flow amount from the ground to the well distribution depending on time, thermal parameters and soil temperature; the temperature field in the near-well space calculation determining the parameters of the heating system transporting heat energy from the well to the surface is performed; the optimal period of well operation by the potential of non-reduced temperature is determined; the temperature field recovery time in the near-well space required for subsequent operation is calculated. Various well depths, geothermal gradient, and water injection rates are considered. For the first time, the relationship between ground temperature and liquid temperature in the inter-tube space and in the inner tube is considered simultaneously.