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首页> 外文期刊>Transport in Porous Media >A New Algorithm for Estimating Three-Phase Relative Permeability from Unsteady-State Core Experiments
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A New Algorithm for Estimating Three-Phase Relative Permeability from Unsteady-State Core Experiments

机译：一种基于非稳态岩心实验估算三相相对渗透率的新算法

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摘要

We present a new history matching method based on a Genetic Algorithm to estimate three-phase k_r (relative permeability) from unsteady-state coreflood experiments. In this method, relative permeabilities (k_r) are represented by quadratic B-Spline functions. Adjustable coefficients in k_r functions are changed in an iterative process to minimize an objective function. The objective function is defined as the difference between the measures and simulated values of the pressure drop across the core and fluids recovery during the experiment. One of the main features of this approach is that water and gas relative permeabilities (k_(rw) and k_(rg)) are assumed to be functions of two independent saturations as opposed to most of the existing empirical k_r models in which k_(rw) and k_(rg) are assumed to be only dependent of their own saturations. Another important aspect of this algorithm is that it considers inequality constrains to ensure that physically acceptable k_r curves are maintained throughout the iterative optimization process. A three-phase coreflood simulator has been developed based on this methodology that generates best k_r values by matching experimental data. The integrity of the developed software was first successfully verified by using two sets of experimental three-phase k_r data published in the literature. Then, the results of some three-phase coreflood experiments carried out in our laboratory were used to obtain three-phase k_r curves by this approach.
机译：我们提出了一种新的基于遗传算法的历史匹配方法，用于从非稳态岩心驱替实验估算三相k_r（相对渗透率）。在这种方法中，相对渗透率（k_r）用二次B样条函数表示。在迭代过程中更改k_r函数中的可调系数，以最小化目标函数。目标函数定义为实验过程中岩心两端压降与流体回收率的测量值与模拟值之间的差异。该方法的主要特征之一是，与大多数现有的经验k_r模型相反，假定水和天然气的相对渗透率（k_（rw）和k_（rg））是两个独立饱和度的函数。 ）和k_（rg）假定仅取决于它们自己的饱和度。该算法的另一个重要方面是它考虑了不等式约束，以确保在整个迭代优化过程中保持物理上可接受的k_r曲线。基于这种方法开发了一个三相岩心驱油模拟器，该模拟器通过匹配实验数据生成最佳的k_r值。首先使用文献中发布的两组实验性三相k_r数据成功地验证了所开发软件的完整性。然后，利用本实验室进行的一些三相岩心驱油实验的结果，通过这种方法获得了三相k_r曲线。

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