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首页> 外文期刊>SPE Reservoir Evaluation & Engineering >Numerical Simulation of Water Injection in Fractured Media Using the Discrete-Fracture Model and the Galerkin Method
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Numerical Simulation of Water Injection in Fractured Media Using the Discrete-Fracture Model and the Galerkin Method

机译：离散裂缝模型和Galerkin方法对裂隙介质注水的数值模拟

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摘要

Numerical simulation of water injection in discrete fractured media with capillary pressure is a challenge. Dual-porosity models, in view of their strength and simplicity, can be used mainly for sugar-cube representation of fractured media. In such a representation, the transfer function between the fracture and the matrix block can be calculated readily for water-wet media. For a mixed-wet system, the evaluation of the transfer function becomes complicated because of the effect of gravity. In this work, we use a discrete-fracture model in which the fractures are discretized as 1D entities to account for fracture thickness by an integral form of the flow equations. This simple step greatly improves the numerical solution. Then, the discrete-fracture model is implemented using a Galerkin finite-element method. The robustness and the accuracy of the approach are shown through several examples. First, we consider a single fracture in a rock matrix and compare the results of the discrete-fracture model with a single-porosity model. Then, we use the discrete-fracture model in more complex configurations. Numerical simulations are carried out in water-wet media as well as in mixed-wet media to study the effect of matrix and fracture capillary pressures.
机译：离散压力介质中毛细压力下注水的数值模拟是一个挑战。鉴于其强度和简单性，双重孔隙度模型可主要用于裂缝介质的方糖表示。以这种表示，对于水润湿的介质，可以很容易地计算出裂缝和基质块之间的传递函数。对于混合湿系统，由于重力的作用，传递函数的评估变得复杂。在这项工作中，我们使用离散裂缝模型，其中将裂缝离散为一维实体，以通过流动方程的积分形式考虑裂缝厚度。这个简单的步骤大大改善了数值解。然后，使用Galerkin有限元方法实现离散裂缝模型。通过几个示例显示了该方法的鲁棒性和准确性。首先，我们考虑岩石基体中的单个裂缝，并将离散裂缝模型的结果与单孔隙率模型进行比较。然后，我们在更复杂的配置中使用离散断裂模型。在水-湿介质以及混合-湿介质中进行了数值模拟，以研究基质和裂缝毛细管压力的影响。

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