异常高压气藏储层介质变形机理研究
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摘要
异常高压气藏主要分布在我国中西部,如川东部大池干井气藏、四川泸州阳高寺气藏、塔里木克拉2气藏等都是典型的异常高压气藏。异常高压气藏具有压力系数高、压实程度低、渗流速度快等特征。异常高压气藏投入开发以后,随着地层孔隙压力的下降,近井区域储层岩石产生显著的弹性变形和塑性破裂,使得该区域孔隙性和渗透性急剧降低,造成异常高压气井初期产量递减快、气藏出水严重等问题,对提高异常高压气藏采出程度及维持气田稳定生产极为不利。产生上述问题的根源就是储层介质的变形问题。若要解决上述问题,首先须搞清异常高压气藏储层介质的变形机理。
本文以异常高压气藏岩心应力敏感性实验为基础,利用大变形固结理论、位错理论、细观力学基础理论、细观损伤力学及流固耦合理论,建立了描述异常高压气藏储层介质变形的数学模型：基于空间描述和物质描述的大变形固结模型；基于微细宏观层次的变形与破裂模型；基于岩石损伤的渗流-应力-损伤耦合模型。通过数值计算程序对模型进行求解,获得表征异常高压气藏储层介质变形与破裂的相关参数变化规律。本文主要进行了以下几方面的研究：
(1)基于异常高压气藏储层介质特征,利用岩石应力敏感性实验,分别研究无裂缝和裂缝性气藏储层介质变形特征,获得了储层物性参数(孔隙体积、孔隙度、压缩系数及渗透率)随净围压的变化规律。
(2)基于连续介质力学基本概念,分析了储层介质有限变形应力张量及大变形本构关系；然后,在空间坐标和物质坐标下,分别建立了异常高压气藏储层介质大变形的空间描述方程组和物质描述方程组。应用有限离散和等参元插值原理,对连续性方程和平衡方程式分别进行了离散,形成了异常高压气藏储层介质大变形固结增量有限元法。
(3)通过系统分析异常高压气藏储层介质变形特征及其影响因素,基于位错理论、细观力学及连续介质力学,建立了微细宏观层次上描述异常高压气藏储层介质变形与破裂的数学模型。
(4)基于基元体概念,利用Weibull统计分布函数,描述了异常高压气藏储层岩石的非均质性；然后,基于异常高压气藏储层岩石应力-应变关系和气体渗流基本方程,建立了描述异常高压气藏储层介质变形的渗流-应力-损伤耦合模型。
(5)在分析异常高压气藏储层介质变形机理的基础上,利用数值计算程序,分别设计了异常高压气藏储层介质大变形固结理论模块、异常高压气藏储层介质微细宏观上的变形与破裂模块和异常高压气藏储层介质渗流-应力-损伤耦合模块。
(6)通过对异常高压气藏物理模型进行网格划分,基于编制的数值计算程序,研究本文方法和普通方法(未考虑气藏储层介质大变形、破裂及应力-损伤的数值模拟方法)计算的储层孔隙指数、孔隙度、水平位移、垂直位移及生产动态指标等,获得异常高压气藏早期水侵严重、气井产量递减快等问题的根源。
Abnormally pressured gas reservoirs are mostly in Midwest China, such as eastern Dachigan gas reservoir, Yanggaoshi gas reservoir in Luzhou, Sichuan, and Kela2gas reservoir in Talimu, all of which are symbolic abnormally pressured gas reservoirs. Abnormally pressured gas reservoir is high pressured, lowly compacted and fast permeated. When developing abnormally pressured gas reservoirs, the nearby reservoir rock could easily be deformed elastically or fractured plastically with the formation pore pressure going down, leading to the rapid reduction of porosity and permeability. As a result, production will decreased rapidly at the early stage of the abnormally pressured gas wells, and water will discharge seriously. These are critical disadvantage of production rate and stability maintenance for abnormally pressured gas reservoirs. The reason of those problems in this paper is considered to be deformation of reservoir rocks. To handle these problems, the first thing to do is to understand the cause of the deformation of abnormally pressured gas reservoirs.
Based on the core experiments of stress sensitivity for abnormally pressured gas reservoirs, under the theories of large strain, dislocation, micromechanics basis, microscopic damage mechanics and coupling analysis, several models of abnormally pressured gas reservoirs deformation media are built:a model to describe large strain spatially and materially, a model of strain and fracture under the micro-, meso-, and macro-levels, a model of the coupling analysis of permeability, stress and damage for damaged rocks. These models are solved through numerical methods, and the variation characteristics of the parameters of the medium deformation and fracture for abnormally pressured gas reservoirs are obtained. Main topics involved in the thesis are as follows:
(1) Abnormally pressured gas reservoirs can be classified as cracked and non-cracked reservoirs. This paper studies their reservoir medium deformation characteristics by rock stress sensitivity experiments, such as change rule for rock pore volume, porosity, compressibility coefficient, permeability along with the net confining pressuur.
(2) With the knowledge of continuum mechanics, stress tensor under limited strain, and constitutive relation of large strain, spatial and physical large strain equations of abnormally pressured gas reservoirs are built in spatial and physical coordinate system; finite discreteness method and isoparametric element interpolation method are used to do the discreteness for the continuum equation and the balance equation, evolving to an increment finite element method for large strain consolidation of abnormally pressured gas reservoirs.
(3) Based on the characteristics and the analysis of the influence factors of abnormally pressured gas reservoirs, the mathematical deformation and fracture model are built for abnormally pressured gas reservoirs, by the help of dislocation theories, meso-mechanics and continuum mechanics and developed from micro-, meso-, and macro-views.
(4) By the definition of basic element and the Weibull statistic distribution function, this paper describes the heterogeneity of abnormally pressured gas reservoirs rock; then, based on the stress-strain relation of abnormally pressured gas reservoirs and gas permeability equation, the coupling model of permeability-stress-damage for abnormally pressured gas reservoirs are built.
(5) Based on the annlyse for the deformation mechanism of abnormally pressured gas reservoirs, large strain consolidation module of abnormally pressured gas reservoirs, the module of the micro-meso-macro deformation and fracture, and the module of the coupling analysis of permeability-stress-damage are built by numerical program.
(6) A physical model and the grid for abnormally pressured gas reservoirs are built. With the results obtained by the numerical program of this paper and the common computation (which doesn't take into account the large strain of gas reservoir, fracture and stress-damage), pore index of the reservoir, porosity, horizontal displacement, vertical displacement and dynamical production index acquire why water encroachment is serious in the early stage and rapid production decrease of the gas wells.
本文以异常高压气藏岩心应力敏感性实验为基础,利用大变形固结理论、位错理论、细观力学基础理论、细观损伤力学及流固耦合理论,建立了描述异常高压气藏储层介质变形的数学模型：基于空间描述和物质描述的大变形固结模型；基于微细宏观层次的变形与破裂模型；基于岩石损伤的渗流-应力-损伤耦合模型。通过数值计算程序对模型进行求解,获得表征异常高压气藏储层介质变形与破裂的相关参数变化规律。本文主要进行了以下几方面的研究：
(1)基于异常高压气藏储层介质特征,利用岩石应力敏感性实验,分别研究无裂缝和裂缝性气藏储层介质变形特征,获得了储层物性参数(孔隙体积、孔隙度、压缩系数及渗透率)随净围压的变化规律。
(2)基于连续介质力学基本概念,分析了储层介质有限变形应力张量及大变形本构关系；然后,在空间坐标和物质坐标下,分别建立了异常高压气藏储层介质大变形的空间描述方程组和物质描述方程组。应用有限离散和等参元插值原理,对连续性方程和平衡方程式分别进行了离散,形成了异常高压气藏储层介质大变形固结增量有限元法。
(3)通过系统分析异常高压气藏储层介质变形特征及其影响因素,基于位错理论、细观力学及连续介质力学,建立了微细宏观层次上描述异常高压气藏储层介质变形与破裂的数学模型。
(4)基于基元体概念,利用Weibull统计分布函数,描述了异常高压气藏储层岩石的非均质性；然后,基于异常高压气藏储层岩石应力-应变关系和气体渗流基本方程,建立了描述异常高压气藏储层介质变形的渗流-应力-损伤耦合模型。
(5)在分析异常高压气藏储层介质变形机理的基础上,利用数值计算程序,分别设计了异常高压气藏储层介质大变形固结理论模块、异常高压气藏储层介质微细宏观上的变形与破裂模块和异常高压气藏储层介质渗流-应力-损伤耦合模块。
(6)通过对异常高压气藏物理模型进行网格划分,基于编制的数值计算程序,研究本文方法和普通方法(未考虑气藏储层介质大变形、破裂及应力-损伤的数值模拟方法)计算的储层孔隙指数、孔隙度、水平位移、垂直位移及生产动态指标等,获得异常高压气藏早期水侵严重、气井产量递减快等问题的根源。
Abnormally pressured gas reservoirs are mostly in Midwest China, such as eastern Dachigan gas reservoir, Yanggaoshi gas reservoir in Luzhou, Sichuan, and Kela2gas reservoir in Talimu, all of which are symbolic abnormally pressured gas reservoirs. Abnormally pressured gas reservoir is high pressured, lowly compacted and fast permeated. When developing abnormally pressured gas reservoirs, the nearby reservoir rock could easily be deformed elastically or fractured plastically with the formation pore pressure going down, leading to the rapid reduction of porosity and permeability. As a result, production will decreased rapidly at the early stage of the abnormally pressured gas wells, and water will discharge seriously. These are critical disadvantage of production rate and stability maintenance for abnormally pressured gas reservoirs. The reason of those problems in this paper is considered to be deformation of reservoir rocks. To handle these problems, the first thing to do is to understand the cause of the deformation of abnormally pressured gas reservoirs.
Based on the core experiments of stress sensitivity for abnormally pressured gas reservoirs, under the theories of large strain, dislocation, micromechanics basis, microscopic damage mechanics and coupling analysis, several models of abnormally pressured gas reservoirs deformation media are built:a model to describe large strain spatially and materially, a model of strain and fracture under the micro-, meso-, and macro-levels, a model of the coupling analysis of permeability, stress and damage for damaged rocks. These models are solved through numerical methods, and the variation characteristics of the parameters of the medium deformation and fracture for abnormally pressured gas reservoirs are obtained. Main topics involved in the thesis are as follows:
(1) Abnormally pressured gas reservoirs can be classified as cracked and non-cracked reservoirs. This paper studies their reservoir medium deformation characteristics by rock stress sensitivity experiments, such as change rule for rock pore volume, porosity, compressibility coefficient, permeability along with the net confining pressuur.
(2) With the knowledge of continuum mechanics, stress tensor under limited strain, and constitutive relation of large strain, spatial and physical large strain equations of abnormally pressured gas reservoirs are built in spatial and physical coordinate system; finite discreteness method and isoparametric element interpolation method are used to do the discreteness for the continuum equation and the balance equation, evolving to an increment finite element method for large strain consolidation of abnormally pressured gas reservoirs.
(3) Based on the characteristics and the analysis of the influence factors of abnormally pressured gas reservoirs, the mathematical deformation and fracture model are built for abnormally pressured gas reservoirs, by the help of dislocation theories, meso-mechanics and continuum mechanics and developed from micro-, meso-, and macro-views.
(4) By the definition of basic element and the Weibull statistic distribution function, this paper describes the heterogeneity of abnormally pressured gas reservoirs rock; then, based on the stress-strain relation of abnormally pressured gas reservoirs and gas permeability equation, the coupling model of permeability-stress-damage for abnormally pressured gas reservoirs are built.
(5) Based on the annlyse for the deformation mechanism of abnormally pressured gas reservoirs, large strain consolidation module of abnormally pressured gas reservoirs, the module of the micro-meso-macro deformation and fracture, and the module of the coupling analysis of permeability-stress-damage are built by numerical program.
(6) A physical model and the grid for abnormally pressured gas reservoirs are built. With the results obtained by the numerical program of this paper and the common computation (which doesn't take into account the large strain of gas reservoir, fracture and stress-damage), pore index of the reservoir, porosity, horizontal displacement, vertical displacement and dynamical production index acquire why water encroachment is serious in the early stage and rapid production decrease of the gas wells.
引文
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