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缝洞型油藏波动和流动耦合模型井底压力分析
引用本文:杜鑫,卢志炜,李冬梅,徐燕东,李培超,卢德唐.缝洞型油藏波动和流动耦合模型井底压力分析[J].应用数学和力学,2019,40(4):355-374.
作者姓名:杜鑫  卢志炜  李冬梅  徐燕东  李培超  卢德唐
作者单位:1中国科学技术大学 近代力学系, 合肥 230026;2南加州大学 维特比工程学院, 加利福尼亚 洛杉矶 90089, 美国;3中石化西北分公司, 乌鲁木齐 834000;4上海工程技术大学 机械与汽车工程学院,上海 201620
基金项目:国家科技重大专项(2016ZX05053)
摘    要:缝洞型油藏储集介质包括基质、裂缝和溶洞.在缝洞型油藏的研究中,由于其复杂的孔隙结构和流动机理,裂缝 溶洞 基质之间的相互作用通常被简化为粒间窜流,然而实际地层中如果溶洞体积很大,会导致流动过程中压力变化很大,所以溶洞并不能被简化为一种介质.通过联立力学三大守恒方程,洞中的压力是以波的形式在溶洞中传播(类似于一种压力降的形式)的理论首次被提出,进而形成了波动和流动耦合的缝洞型油藏新的试井模型,并与外部地层渗流方程相结合形成新的完备的控制方程组,再通过Laplace变换和数值反演,得到了井底压力及压力导数的双对数曲线典型图版.结果表明,井底压力曲线形态受流动和波动相关的无量纲参数以及与外部地层性质有关的无量纲参数的影响,针对各个参数进行了敏感性分析.同时与新疆油田的某实例井相拟合,发现曲线拟合效果很好,地质解释结果与实际结果符合.

关 键 词:缝洞型油藏    流动和波动耦合    Laplace变换    数值反演    双对数曲线
收稿时间:2018-04-18

Pressure Transient Analysis of the Fractured Vuggy Reservoir Model Coupling Oil Flow and Wave Propagation
Affiliation:1Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, P.R.China;2Viterbi School of Engineering, University of Southern California, Los Angeles, California 90089, USA;3Northwest Oilfield Company of SINOPEC, Urumqi 834000, P.R.China;4School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, P.R.China
Abstract:Fractured vuggy reservoirs consist of matrix, fractures and vugs. Researchers usually treat the matrix-fracture-vug interaction as inter-porosity flow due to their complex pore system and flow mechanism.In fact, vugs play an important role in fractured vuggy reservoirs and can’t be simplified to one homogeneous medium. The idea that pressure spreading in vugs is in form of wave, which is similar to pressure decline, was proposed. Based on that, an analytical well test model for fractured vuggy reservoirs combined with seepage equations for outer formation was presented. Then the log-log type curves of the wellbore pressure and its derivative were obtained through the Laplace transform and numerical inversion. The results show that, the pressure curve forms were influenced by dimensionless parameters related to flow and wave propagation, also by dimensionless parameters related to the outer formation. Sensitivity analysis of these parameters were done. Lastly, a field example was demonstrated to validate the accuracy of the proposed model, which matched the real geological data well.
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