When simulating production a vapor–water mixture, it is usually assumed that boiling occurs already in the well. But this is not always the case; a phase transition can also arise in the reservoir. In this regard, a mathematical model is proposed that describes the associated heat and mass transfer processes in the reservoir around the production well and in the wellbore itself. The vaporization is assumed to begin in the reservoir. For the characteristic values of the input parameters using the numerical difference method, the distribution properties of void fraction and mass dryness fraction, as well as the pressure and temperature in the reservoir and well are studied. The dependence of the obtained results on the specific type of phase permeability of water and vapor in the reservoir has been investigated. Previously and separately the mathematical model of heat and mass transfer in a geothermal formation saturated with vapor–water mixture was considered in detail. The exact solutions were obtained for stationary and quasi-stationary nonlinear problems. The properties of these problems solutions have been studied.

中文翻译：

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汽水混合物流经地热储层系统的传热和传质现象的研究

在模拟蒸汽-水混合物的生产时，通常假定井中已经发生沸腾。但这并非总是如此。在储层中也可能发生相变。在这方面，提出了数学模型，该数学模型描述了生产井周围的储层中以及井眼本身中的相关传热和传质过程。假定汽化开始于储层中。对于使用数值差分法输入参数的特征值，研究了孔隙度和质量干度分数的分布特性，以及储层和井中的压力和温度。已经研究了所获得的结果对储层中水和蒸气的相渗透性的特定类型的依赖性。以前和分别地，分别考虑了饱和汽水混合物中的地热地层中传热和传质的数学模型。获得了平稳和准平稳非线性问题的精确解。研究了这些问题解决方案的性质。