• The equation of coal freezing and water-ice phase transformation under the action of cryogenic LN 2 is derived. • A new discretization method is proposed to solve the equation of coal temperature and water-ice phase transformation. • The water-ice phase transition law of LN 2 flowing through water-bearing coal is studied quantitatively. • The influence of ice water conversion process on temperature distribution in water-bearing coal at low temperature is analyzed. • The law of heat and mass transfer in the process of LN 2 flowing through water-bearing coal is revealed. Liquid nitrogen (LN 2 ) fracturing, as a waterless and environmentally friendly fracturing technology, has a broad application prospect in coalbed methane (CBM) exploitation. Currently, there is a lack of sufficient understanding of the heat mass transfer mechanism of LN 2 fractured coal mass. In this paper, the heat-flow coupling problem of LN 2 frozen coal mass was systematically studied by means of numerical simulation. A fluid-solid coupled multiphase module was mathematically modeled on LN 2 flow, coupling between LN 2 and coal mass temperature, and the variation law of coal temperature and water-ice phase with time and geometric position during LN 2 flow was obtained under the coal seam freeze-thaw simulation analysis program by FORTRAN language. The results showed that the most obvious heat mass transfer occurred in the coal mass area close to the LN 2 inlet and the fluid-solid interface. Along the direction of coal burial depth, the changes of temperature and water-ice phase are broadly divided into rapid change zone, slow change zone and stable zone, and along the horizontal direction of LN 2 flow, the temperature and unfrozen water volume first peaked, then decreased and gradually stabilized, while the ice content was diametrically opposed, which indicating that the change of temperature and water-ice phase have significant anisotropic characteristics, and the hydrothermal coupling effect out to be one of the most important factors affecting the effect of LN 2 fracturing coal. The main findings of this study are the keys to the research of LN 2 fracturing physical mechanisms in CBM reservoirs.
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