Numerical Solutions for Transient Heating and Withdrawal of Fluid in a Liquid-Dominated Geothermal Reservoir.

摘要

The transient responses in a liquid-dominated geothermal reservoir resulting from the sudden heating and withdrawal of fluids are studied numerically. The two-dimensional rectangular reservoir is confined by caprock at the top,heated by bedrock from below,and recharged continuously from the vertical boundaries. With appropriate approximations,the governing equations can be combined and reduced to two non-linear partial differential equations in terms of dimensionless temperature and pressure,with a dimensionless parameter D which is a measure of relative importance of convection to conduction heat transfer. The finite difference form of the temperature is solved numerically by the alternating direction implicit method while that of the pressure equation is solved by the Crank-Nicholson method.