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由Geertsma.Klerk.Perkins[1][2][3]等提出的几套二维动态裂缝几何尺寸的计算模型,都没有考虑温度的影响,这显然是不合理的。本文考虑到井底温度变化和地层原始温度的影响,首先建立了滤夫速度是温度、时间的函数的缝中液体温度场模型,然后建立了与温度相关的动态裂缝几何尺寸的两套数值计算模型,最后举例说明了上述模型的使用方法。本文提供的计算模型对生产实际有一定的实际意义,为计算机实时模拟动态裂缝的变化提供了有效途径。
It is obviously unreasonable to calculate the geometric models of two-dimensional dynamic fractures proposed by Geertsma.Klerk.Perkins [1] [2] [3] without considering the influence of temperature. Considering the influence of bottom hole temperature and the original formation temperature, this paper first establishes the liquid temperature field model of the liquid in the slot as a function of temperature and time, and then establishes two sets of numerical calculations of the temperature-dependent dynamic fracture geometry Model, the last examples illustrate the use of the above model. The calculation model provided in this paper has some practical significance for the actual production, which provides an effective way for the computer to simulate the dynamic fracture changes in real time.