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A history-dependent nonwetting phase trapping model for multiphase flow characteristic curves .

机译：多相流特征曲线的基于历史的非润湿相捕获模型。

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摘要

Characteristic curves used in numerical multiphase flow simulators describe relative permeability-saturation and capillary pressure-saturation relationships for flow simulations. Characteristic curves are typically non-hysteretic; meaning they are monotonic functions of saturation and are limited to a single value for residual saturation. Implications of residual saturation are important for environmental, petroleum, and geologic carbon sequestration modeling. However, hysteretic characteristic curves predict that trapped residual saturation depends on the local saturation history. The use of hysteretic characteristic curves is critical to predicting the residual saturation and ultimately the mobility of a nonwetting phase such as supercritical CO2 or a nonaqueous phase liquid (NAPL). Previous hysteretic formulations often have discontinuous derivatives of relative permeability and capillary pressure at turning point saturations, which can cause numerical difficulties during Newton-Raphson iterations. A straight forward hysteretic model for nonwetting phase trapping is presented and assessed by comparison to both experimental and published simulation results. This constitutive model produces smooth, continuously differentiable relative permeability and capillary pressure curves at drainage-imbibition turning points, which eases numerical performance during the Newton-Raphson iteration technique used to solve the non-linear governing equations used to analyze multiphase flow. In addition, hysteresis is included in the characteristic functions without requiring any additional parameters. An assessment of the new model is made by simulating an experiment published by Johnston and Adamski (2005) that explored the relationship of residual- and maximum- non-wetting phase saturations using an undisturbed soil sample. Another assessment is made by comparing the results of the new model to an analysis by Doughty (2007) when simulating the injection and migration of a supercritical CO2 plume in a deep storage formation. The simulated results compare favorably and confirm that the new model can duplicate essential features of more complicated hysteretic models.
机译：数值多相流动模拟器中使用的特性曲线描述了流动模拟的相对渗透率-饱和度和毛细管压力-饱和度关系。特征曲线通常是非滞后的。表示它们是饱和度的单调函数，并且仅限于残余饱和度的单个值。残余饱和度的含义对于环境，石油和地质固碳建模很重要。然而，磁滞特性曲线预测捕获的残余饱和度取决于局部饱和历史。滞后特性曲线的使用对于预测残余饱和度以及最终预测非润湿相（例如超临界CO2或非水相液体（NAPL））的迁移率至关重要。先前的滞后公式通常在转折点饱和时具有相对渗透率和毛细管压力的不连续导数，这可能在牛顿-拉夫森迭代过程中引起数值困难。通过与实验和已发布的仿真结果进行比较，提出并评估了非润湿相捕集的简单迟滞模型。该本构模型在排水吸水转折点处产生平滑，连续可微分的相对渗透率和毛细管压力曲线，从而简化了牛顿-拉夫森迭代技术用于求解用于分析多相流的非线性控制方程的数值性能。此外，磁滞包含在特性函数中，而无需任何其他参数。通过模拟约翰斯顿和亚当斯基（Johnston and Adamski，2005）发表的实验对新模型进行了评估，该实验使用未扰动的土壤样品探索了残留和最大非润湿相饱和度之间的关系。通过将新模型的结果与Doughty（2007）在模拟深层储层中超临界CO2羽流的注入和运移过程中的分析进行比较，进行了另一项评估。仿真结果令人满意，证实了新模型可以复制更复杂的磁滞模型的基本特征。

著录项

  • 作者

    Patterson, Christopher.;

  • 作者单位

    Clemson University.;

  • 授予单位 Clemson University.;
  • 学科 Engineering Petroleum.;Engineering Environmental.
  • 学位 M.S.
  • 年度 2011
  • 页码 108 p.
  • 总页数 108
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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