基于SRK状态方程的页岩气密度计算新方法

马明学

doi:10.11911/syztjs.201606017

基于SRK状态方程的页岩气密度计算新方法

马明学

中海油田服务股份有限公司油田技术事业部, 河北三河 065201

基金项目:

国家科技重大专项“大型油气田及煤层气开发”之课题“新一代油藏数值模拟软件”（编号：2011ZX05009-006）资助。

详细信息

作者简介:
马明学(1965-),男,山东桓台人,1986年毕业于华东石油学院应用物理专业,1991年获石油大学(华东)应用地球物理专业硕士学位,高级工程师,主要从事油气测井和石油与天然气开发技术方面的研究工作。

中图分类号: P618.13
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出版历程
- 收稿日期: 2015-12-09
- 修回日期: 2016-09-24
- 刊出日期: 1899-12-31

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

MA Mingxue

Well Tech of China Oilfield Services Limited, Sanhe, Hebei, 065201, China

摘要

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。
- 页岩气 /
- 密度 /
- 状态方程 /
- 迭代方法
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.
- shale gas /
- density /
- equation of state /
- iterative method

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