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较严密地推导了能够描述含水层热量运移中自然热对流作用的水流方程和热量运移方程,并在此基础上建立了一个三维非线性模型。根据模型的特点,提出综合采用Douglas Brian ADI差分法、特征线法返回技术及改进Picard迭代法求解,并给出了计算步骤。模型及数值方法用于模拟上海第二承压含水层中的一个群井储能试验。试验中的自然热对流作用得到了较好的体现,反映出模型合理可靠,方法有效,结果令人满意。
The water flow equations and heat transfer equations that can describe the natural convection in the heat transport of aquifers are derived more rigorously and a three-dimensional nonlinear model is established. According to the characteristics of the model, this paper proposes to use the Douglas Brian ADI difference method, the return method of the characteristic line method and the improved Picard iterative method, and gives the calculation steps. Model and numerical methods were used to simulate a well energy storage experiment in the second confined aquifer in Shanghai. The natural convection in the experiment is well reflected, which shows that the model is reasonable and reliable, the method is effective and the result is satisfying.