当压裂液黏度较小使得无量纲韧性取值大于3时,币型水力裂缝数值计算的准确性和稳定性很难得到保证.因此,使用FrackOptima真三维水力压裂模拟软件开展币型裂缝数值计算研究,重点研究无量纲韧性取值大于3时的计算结果.首先分析了币型裂缝的建模理论和半解析解存在的4组参数条件.随后在该参数条件下建立算例,采用该软件计算币型裂缝的扩展过程,并比较数值模拟结果和相关半解析解运算结果.研究结果表明:数值模拟结果和半解析解运算结果之间的误差绝对值不超过10%.尤其是当压裂液黏度取值很小,使得无量纲韧性取值在3~19之间时,数值计算仍能得到较精确、较稳定的结果.为进一步使用该软件优化实际压裂方案,尤其是优化低黏度滑溜水压裂方案,奠定了理论基础.
It is difficult to maintain accuracy and stability of numerical simulation of penny-shaped hydraulic fracture when the low viscosity of fracturing fluid makes the values of dimensionless toughness more than 3.Thus,we studied the penny-shaped hydraulic fracturing model with a fully-three-dimensional simulator FrackOptima,mainly focusing on the values of dimensionless toughness above 3.We first analyzed the penny-shaped model with its modeling theory and the four parametric conditions for semi-analytical solutions.Then,we conducted numerical examples to simulate fracture propagation with FrackOptima under the four conditions.We compared the numerical results of FrackOptima with those of the semi-analytical solutions.The results indicate the absolute values of errors are less than 10%.The simulation still gives accurate and stable results with the values of dimensionless toughness at 3-19 due to extremely low viscosity,thus providing theoretical basis for further optimizing the practical fracturing treatment,particularly the low viscosity slick water fracturing with the numerical simulation.
刘长昊;龙恭博;邢楚林;吴俊晟;吴彬彬
武汉工程大学机电工程学院,湖北 武汉 430205
石油、天然气工程
水力压裂;币型模型;半解析解;数值模拟
hydraulic fracture;penny-shaped model;semi-analytical solution;numerical simulation
《武汉工程大学学报》 2024 (002)
184-189,196 / 7
湖北省自然科学基金(2019CFB103);湖北省教育厅重点项目(D20201505)
10.19843/j.cnki.CN42-1779/TQ.202308014
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