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杜旭林, 程林松, 牛烺昱, 方思冬, 曹仁义. 基于XFEM-MBEM的嵌入式离散裂缝模型流固耦合数值模拟方法. 力学学报, 2021, 53(12): 3413-3424. DOI: 10.6052/0459-1879-21-300
引用本文: 杜旭林, 程林松, 牛烺昱, 方思冬, 曹仁义. 基于XFEM-MBEM的嵌入式离散裂缝模型流固耦合数值模拟方法. 力学学报, 2021, 53(12): 3413-3424. DOI: 10.6052/0459-1879-21-300
Du Xulin, Cheng Linsong, Niu Langyu, Fang Sidong, Cao Renyi. Numerical simulation for coupling flow and geomechanics in embedded discrete fracture model based on XFEM-MBEM. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(12): 3413-3424. DOI: 10.6052/0459-1879-21-300
Citation: Du Xulin, Cheng Linsong, Niu Langyu, Fang Sidong, Cao Renyi. Numerical simulation for coupling flow and geomechanics in embedded discrete fracture model based on XFEM-MBEM. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(12): 3413-3424. DOI: 10.6052/0459-1879-21-300

基于XFEM-MBEM的嵌入式离散裂缝模型流固耦合数值模拟方法

NUMERICAL SIMULATION FOR COUPLING FLOW AND GEOMECHANICS IN EMBEDDED DISCRETE FRACTURE MODEL BASED ON XFEM-MBEM

  • 摘要: 离散缝网的表征与模拟是目前国内外研究的热点. 在非常规油气开发过程中, 由于地应力场的存在会对裂缝的流动属性产生显著影响, 若将裂缝视为静态对象, 与矿场数据会出现极大偏差, 因此要基于动态裂缝做更深入的研究. 本文针对致密油藏应力场−渗流场耦合力学问题, 提出了一种高效的混合数值离散化方法, 其中采用扩展有限元法 (XFEM) 求解岩石的弹性形变, 采用了混合边界元法 (MBEM) 精确计算基岩与裂缝间的非稳态窜流, 这两种数值格式是完全耦合的, 并对整体计算格式的时间项进行了全隐式求解, 可准确表征致密油藏开采过程中的裂缝变形及流体流动机理. 此外, 本文采用了嵌入式离散裂缝前处理算法显式表征大尺度水力压裂缝, 并考虑了支撑剂的作用; 采用了双孔有效应力原理和双重介质隐式裂缝表征方法, 可捕捉基质与小尺度天然裂缝的动态信息; 由此, 本文所提出的混合模型综合表征了基质−天然裂缝−水力压裂缝共同组成的致密油藏复杂渗流环境, 并通过几个实例论证了模型的准确性, 研究表明: 对致密油藏压裂水平井进行产能评价时, 应力场所引起渗流参数的改变及裂缝开度降低的影响不可忽略. 本文研究可为非常规油气资源的开发提供理论指导.

     

    Abstract: The characterization and simulation of discrete fracture networks is a hot topic at home and abroad. In the development process of unconventional oil or gas reservoir, the in-situ stress field will have a significant impact on the flow properties of fractures. If fractures are regarded as static objects, there will be a great deviation from the field data. Therefore, more in-depth research should be done based on dynamic fractures. In this paper, an efficient hybrid numerical discretization method is proposed to solve the coupled mechanical problems of coupling geomechanics and fluids flow in tight oil reservoirs. The extended finite element method (XFEM) is used to solve the elastic deformation of rock, and the mixed boundary element method (MBEM) is adopted to accurately calculate the unsteady flux between matrix and fracture. The two numerical schemes are fully-coupled and the time-terms in overall calculation scheme is solved by the fully-implicit method, which can accurately and efficiently simulate the mechanism of fracture deformation and fluids flow in the development of tight oil reservoirs. In addition, the embedded pre-treatment is used to characterize the large-scale hydraulic fracture, and the effect of proppant is considered. The dynamic information of matrix and small-scale natural fracture can be captured by using the double-porosity effective stress principle and the characterization method of implicit fracture in dual-media. Therefore, the hybrid model proposed in this paper comprehensively characterizes the complex system composed of matrix, natural fractures and hydraulic fractures. The accuracy of proposed model is demonstrated by several examples in this paper. The study shows that the influence of the flow parameters change and the fracture aperture reduction caused by stress-field can not be ignored when evaluating the productivity of fractured horizontal well in tight oil reservoirs. This work can provide theoretical guidance for the development of unconventional oil and gas resources.

     

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