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A Non-Local Damage Model for Heterogeneous Rocks - Application to Rock Fracturing Evaluation Under Gas Injection Conditions

机译:异构岩石的非局部损伤模型 - 在气体注入条件下岩石压裂评价的应用

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摘要

All underground engineering works have to deal with heterogeneous rock mass (e.g., nuclear waste disposal in geological media, deep underground injection, geothermal energy extraction, enhanced recovery from oil and gas reservoirs, and underground storage of natural gas). More recently, geological storage of carbon dioxide (CO2) into permeable deep aquifers has been suggested as an important potential method to reduce the emission of greenhouse gases into the atmosphere. Deep well injection changes the stress state in the geological formation. A change in the stress field may affect the hydraulic response of the medium. The main goal of the present work is to introduce a coupled hydromechanical damage model that takes into account the effect of mechanical heterogeneities on the hydromechanical response of rock masses. A probabilistic damage model is developed to study possible cracking of the rock due the effective stress changes. Two different thresholds are considered for crack initiation and propagation. A Weibull model is used to account for the stochastic nature of crack initiation(s) and then a fracture mechanics based threshold is considered to model crack propagation. The model is integrated in the finite element package (Code_Aster) as a non-local damage model. Both damage thresholds are checked using a "regularised" stress field to avoid mesh dependence and localization phenomena. The use of the regularized stress enables us to calculate correctly the stress intensity factors for the propagating cracks modelled as a set of completely damaged elements. The interaction between propagating cracks and initiation sites is accounted for naturally through the stress relaxation induced around the existing cracks. A robust and efficient sequential approach is proposed for hydromechanical coupling. The coupled phenomena of fluid flow in complex geological systems are solved with a thermo-hydraulic module, and the mechanical response of the geological medium is evaluated with the mechanical module of Code_Aster®. These processes are linked using a sequential algorithm. The use of a damage variable to represent the induced cracks permits a straightforward damage-permeability relationship to be considered. Following the above methodology, a typical gas injection example is considered. The effects in terms of effective stress changes for different injection scenarios are assessed. The effect of different in situ parameters such as material heterogeneity, mechanical parameters and initial stress field is studied through parametric analyses and the damage risk is evaluated.
机译:所有地下工程都必须处理异质岩石质量(例如,地质介质,深层地下注射,地热能提取,从石油和天然气储层的地下恢复以及天然气地下储存的核废料处理。最近,已经提出了二氧化碳(CO2)的地质储存,以渗透性深含水层被认为是减少温室气体排放到大气中的重要潜在方法。深井注射改变地质形成中的应力状态。压力场的变化可能影响介质的液压响应。本作工作的主要目标是引入耦合的流体机械损伤模型,考虑了机械异质性对岩体流体机械响应的影响。开发了一种概率损伤模型,以研究由于有效的应力变化而在岩石的可能开裂。考虑两种不同的阈值以用于裂纹启动和传播。威布尔模型用于考虑裂纹引发的随机性质,然后认为基于裂缝力学的阈值模拟裂纹繁殖。该模型集成在有限元包(Code_aster)中作为非局部损坏模型。使用“正则化”应力字段检查损坏阈值,以避免网格依赖性和本地化现象。使用正则压力使我们能够正确地计算作为一组完全损坏的元素建模的传播裂缝的应力强度因子。通过围绕现有裂缝诱导的应力松弛来占据传播裂缝和发起位点之间的相互作用。提出了一种用于流体机械耦合的稳健和高效的顺序方法。复杂地质系统中的流体流动的耦合现象用热水液模块求解,并用Code_aster®的机械模块评估地质培养基的机械响应。这些过程使用顺序算法链接。使用损伤变量来表示诱导的裂缝允许考虑直接的损伤渗透性关系。在上述方法之后,考虑典型的气体注入例。评估了不同注射方案的有效应力变化方面的效果。通过参数分析研究了诸如材料异质性,机械参数和初始应力场等材料异质性,机械参数和初始应力场的不同原位参数的效果,并评估损坏风险。

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