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New Locally Conservative Numerical Schemes for Hydrogeomechanical Couplings in Strongly Heterogeneous Presalt Reservoirs

机译:强国均政预报储层中的水电站耦合新局部保守数值方案

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We construct a new numerical modeling for two-phase immiscible flow in a strongly heterogeneous deformable carbonate underneath a rock salt composed by halite and anhydrite displaying creep behavior with the viscous strain ruled by a nonlinear constitutive law of power-law type. Within the framework of the so-called iteratively coupled methods and fixed-stress split algorithm we develop mixed finite element methods for the flow and geomechanics subsystems which furnish locally conservative Darcy velocity and transient porosity input fields for the transport problem for the water saturation. Such transport equation is decomposed within an operator splitting technique based on a predictor-corrector scheme with the predictor step discretized by a higher-order non-oscillatory finite volume central scheme. Numerical simulations of a water-flooding problem in secondary oil recovery are presented for different realizations of the input random fields (permeability, Young modulus and initial porosity). Comparisons between the accuracies of the proposed approach and the traditional one-way coupled hydro-geomechanical formulation are presented. In addition, simulations including the viscoelastic behavior of the overburden rock salt are performed showing the effects of salt stiffness and irreversible deformation upon finger grow and breakthrough curves. A notable feature of the formulation proposed herein is the accurate prediction of the influence of geomechanical effects upon the unstable movement of the water front, whose evolution is dictated by carbonate heterogeneity, unfavorable viscosity ratio and geomechanical effects without deteriorating the local conservative character of the numerical schemes.
机译:我们构建了一种新的数值模型,用于两相加不混溶的流动,在由烟灰碱和空调的岩盐组成的岩盐中,显示蠕变行为,通过电力法类型的非线性本构规律统治的粘性菌株。在所谓的迭代耦合方法和固定应力分裂算法的框架内,我们为流动和地质力学子系统制定混合有限元方法,为水饱和提供了用于运输问题的本地保守达西速度和瞬态孔隙率输入字段。这种传输方程基于预测器校正器方案在操作者分割技术内分解,其具有通过高阶非振荡的有限卷中央方案离散化的预测测量步骤。介绍了二次采油中的水洪水问题的数值模拟,用于输入随机场(渗透率,幼年模数和初始孔隙率)的不同实现。提出了拟议方法的准确性和传统单向耦合水土机械制剂的比较。此外,包括覆盖岩盐的粘弹性行为的模拟显示出在手指生长和突破曲线时盐刚度和不可逆变形的影响。本文所提出的制剂的显着特征是准确地预测地质力学效应对水面不稳定运动的影响,其演进通过碳酸酯异质性,不利的粘度比和地质力学效果决定,而不会恶化数值的局部保守特征方案。

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