基于SRK状态方程的页岩气密度计算新方法

A New Method for Shale Gas Density Calculation Based on SRK Equation of State

  • 摘要: 针对应用Soave-Redlich-Kwong(SRK)状态方程计算的页岩气密度偏低、相对误差较大的问题,为提高地层条件下页岩气密度的计算精度,引入对比压力与对比温度2个参数,对SRK方法进行了改进,建立了页岩气密度计算新方法,并用牛顿迭代法对其进行了求解,编制了相应的计算机程序。应用SRK方法和改进的SRK方法分别计算了压力1~30 MPa、温度283.15~428.15 K的210个样点的页岩气密度,并与美国国家标准与技术研究院发布的页岩气密度进行了对比,结果发现:SRK方法计算的页岩气密度的相对误差为-11.10%~-0.05%,局部相对误差绝对值超过了10%;改进的SRK方法计算的页岩气密度的相对误差范围为-2.39%~2.11%,相对误差绝对值最大为2.39%。研究表明,基于SRK状态方程的页岩气密度计算新方法的计算精度明显提高,可满足页岩气藏评价和开发应用的要求。

     

    Abstract: Shale gas densities determined by using the conventional Soave-Redlich-Kwong (SRK) state equation are characterized by lower than actual values and significant relative errors. To enhance accuracy in shale gas density calculations under formation conditions, two parameters that are called contrast pressure and contrast temperature have been introduced to modify the conventional SRK method, and to establish an innovative method for the determination of shale gas density. At the same time, Newtonion iteration has been deployed to make computer programs, by which the shale gas densities of 210 samples were calculated under the pressures of 1-30 MPa and temperatures from 283.15 K to 428.15 K by means of SRK and modified SRK respectively, and then compared these data with that released from National Institute of Standards and Technology (NIST). It was found that the range of relative errors of shale gas densities calculated by SRK is from -11.10% to -0.05%, local relative errors are larger than 10%. On the other hand, the relative errors of shale gas densities calculated by improved SRK are from -2.39% to 2.11%, the maximum relative error is 2.39%. The research showed that the accuracy calculated by the new method based on SRK for calculating the density of shale gas was improved greatly, and may satisfy the demands for the evaluation of shale gas reservoirs and their application in development.

     

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