考虑二次梯度项影响的多层油藏渗流模型研究  

Seepage model research of multilayered reservoirs considering the effect of quadratic gradient term

作　　者：任俊杰[1] 郭平[1] 王德龙 

机构地区：[1]西南石油大学油气藏地质及开发工程国家重点实验室,成都610500 [2]中石油长庆油田分公司勘探开发研究院,西安710021

出　　处：《水动力学研究与进展（A辑）》2014年第1期76-82,共7页Chinese Journal of Hydrodynamics

基　　金：国家科技重大专项项目(2008ZX05013)~~

摘　　要：为了提高单井产量和降低生产成本,很多生产井都采用多层合采的方式进行生产。然而传统的多层油藏渗流模型常常忽略了非线性偏微分方程中的二次梯度项,从而违背了物质平衡条件,进而不能准确反映地下原油在多层油藏中的渗流规律。为此,该文保留非线性偏微分方程中的二次梯度项,建立了考虑井筒储集与表皮效应影响的多层油藏渗流模型,采用全隐式有限差分对模型进行离散,并应用迭代方法进行求解,绘制了井底压力和分层产量的理论变化曲线,最终分析了二次梯度项对多层油藏的井底压力动态和各层产量分布的影响。研究结果有利于提高对多层油藏渗流规律的认识,为合理地运用直井开发多层油藏提供理论依据。In order to improve per well production and reduce the production cost, the commingling production is usually adopted for many oil wells. However, the neglection of the quadratic gradient term in the nonlinear partial differential equation makes traditional seepage models for multilayered reservoirs inconsistent with the material balance condition and the models can not accurately reflect the seepage law of the oil in multilayered reservoirs. Therefore, a seepage model for multilayered reservoirs is established considering the effects of wellbore storage and skin, retaining the quadratic gradient term in the nonlinear partialdifferential equation. The implicit finite difference method is used to discretize the formulation and the iterative method is used to resolve the above mentioned nonlinear equations. The theoretical curves ofwellbore pressure and layered production are plotted. The influence of the quadratic gradient term on wellbore pressure behavior and layered production distribution is analyzed. The results can help people to understand the seepage mechanism of multilayered reservoirs and provide the theoretical basis for people to reasonably develop multilayered reservoirs using vertical wells.

关 键 词：多层油藏 二次梯度项 压力动态 分层产量 数学模型 

分 类 号：TE312[石油与天然气工程—油气田开发工程]