The heat-flux-solid coupling model of heavy oil during steam flooding

A THM governing equation of temperature field coupled with seepage field, and strain field during thermal recovery process was derived and the solution method was given. Considering the effects exerted by pressure, temperature, and rock frame stress during the derivation, the model is applicable for different types of constraints. The deduced governing equations are applied to analyze examples, and the result is basically the same with that of the numerical simulation, which indicates the heat flow penetrating coupling equation is effective to calculate the temperature field model. Examples show that thermal coupling model can be used to quantitatively analyze the dynamic variation of formation temperature, pore fluid pressure, and rock frame stress data near borehole wall during thermal production in heavy oil reservoir.