天然压裂油藏多压裂水平井瞬态压力分析新数学模型,ACS Omega

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天然压裂油藏多压裂水平井瞬态压力分析新数学模型
ACS Omega ( IF 3.7 ) Pub Date : 2021-05-31 , DOI: 10.1021/acsomega.1c01464
Yuan Gao ₁ , Md Motiur Rahman ₁ , Jing Lu ₁

Affiliation

多压裂水平井在石油工业中获得了商业开发的极大关注。尽管天然裂缝性油藏水平井瞬态压力分析或流量行为取得了长足的发展，但仍有一些重大问题有待解决，包括油藏非均质性高、水力裂缝压力敏感性以及可能发生的非达西流动效应在生产寿命期间。本文基于分形系统、渗透率模量理论和相应的时间分数演算作为经典三线性流模型的扩展，提出了一种更实用的天然裂缝性油藏多压裂水平井数学模型。这个新模型包括三个模块：基于分形系统的储层高度非均质性，渗透率模量通常显示水力裂缝的压力敏感性，以及描述非达西流动湍流的异常扩散。本研究评估了三线性双渗透双孔隙度流动模型，其中双孔隙度模型用于未受刺激的外部储层流动区域，双渗透模型用于已改造的内部储层流动区域，以及流动区域的渗透率模数水力裂缝。进行的综合敏感性分析表明了关键参数，如分形维数、水力裂缝渗透率模量和导流能力、孔隙度流动系数、储量比等，如何影响瞬态压力行为，以及其行为变化的原因。

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Novel Mathematical Model for Transient Pressure Analysis of Multifractured Horizontal Wells in Naturally Fractured Oil Reservoirs

Multifractured horizontal wells have gained significant attention within the petroleum industry for commercial development. Despite considerable developments of transient pressure analysis or flow rate behaviors for horizontal wells in naturally fractured reservoirs, some significant problems are yet to be resolved, including high heterogeneity of reservoirs, pressure sensitivity of hydraulic fractures, and non-Darcy flow effect, which may occur during the production life. This paper presents a more pragmatic mathematical model for multifractured horizontal wells in naturally fractured reservoirs based on the fractal system, the theory of permeability modulus, and the time-fractional calculus correspondingly as an extension of the classic trilinear flow model. This new model comprises three modules: high heterogeneity of the reservoir based on the fractal system, the permeability modulus typically showing the pressure sensitivity of hydraulic fractures, and the anomalous diffusion describing non-Darcy flow turbulence. This investigation evaluates a trilinear dual-permeability dual-porosity flow model, with the dual-porosity model for the unstimulated outer reservoir flow region, the dual-permeability model for the stimulated inner reservoir flow region, and the permeability modulus for the flow region of hydraulic fractures. The comprehensive sensitivity analysis conducted indicates how the key parameters, such as fractal dimension, hydraulic fracture permeability modulus and conductivity, interporosity flow coefficient, storativity ratio, etc., affect the transient pressure behaviors, along with their reasons for the change in behavior. Application to a field case study further demonstrates the validity of the mathematical model, and the results presented may play a guiding role in well test interpretation.

更新日期：2021-06-15

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