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首页> 外文会议>Workshop on Geothermal Reservoir Engineering >Extending the Application of the Constrained Interpolation Profile (CIP) Scheme from Single-Phase to Two-Phase Hydrothermal Reservoir Simulations
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Extending the Application of the Constrained Interpolation Profile (CIP) Scheme from Single-Phase to Two-Phase Hydrothermal Reservoir Simulations

机译：将受约束的插值曲线（CIP）方案从单相到两相热水储层模拟扩展

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The application of the Constrained Interpolation Profile (CIP) scheme is extended from single-phase to two-phase one-dimensional hydrothermal reservoir simulations. This extension not only applies the CIP scheme to the advection term of a conservation equation for each phase as in single-phase problems but also evaluates its applicability using a dimensionless parameter called 'applicability index.' The applicability index indicates the relative absolute difference between the advancing velocities of the distribution of specific enthalpy due to flow and phase transition front. If the applicability index is exactly or nearly zero, the CIP scheme is applicable because the difference is insignificant. On the other hand, if the value of the applicability index becomes greater than zero, the CIP scheme is inapplicable because the difference becomes significant. The application of the CIP scheme in the inapplicable condition results in numerical failures, such as the degradation of convergence in Newton-Raphson iteration and oscillating distribution of liquid saturation. The conventional first-order upstream difference scheme is adopted when the CIP scheme is inapplicable. Two contrasting examples demonstrate the applicability of the CIP scheme. The first example injects hot fluid into the initially single-phase reservoir with relatively low permeability. The second example injects cold water into the initially two-phase reservoir with relatively high permeability. In the former example, the CIP scheme is inapplicable in the entire two-phase region expanding from the source. On the other hand, in the latter example, the CIP scheme is applicable in the phase transition zone where liquid saturation is changing with the sweeping of the single-phase region expanding from the source. The numerical failures were overcome as demonstrated in the comparison with a trial run adopting the CIP scheme regardless of the applicability index.
机译：所述约束插值资料（CIP）方案的应用程序是从单相扩展到两相的一维水热储层模拟。此扩展不仅适用的CIP方案的守恒方程的每个相作为在单相问题的对流项，还使用被称为一个无量纲参数的计算结果的适用性“适用性指数”。适用性索引指示由于流动和相变前的比焓的分布的行进速度之间的相对绝对差。如果适用性指数恰好或几乎为零，因为差距是微不足道的CIP方案是适用的。在另一方面，如果适用性索引的值变得大于零，则CIP方案不适用，因为差变得显著。的CIP方案的在数值故障，如收敛的液体饱和的牛顿 - 拉夫逊迭代和振荡分布劣化不适用的条件的结果的应用。当CIP方案不适用的常规的一阶差分的上游方案被采用。两种截然不同的例子展示了CIP方案的适用性。第一个例子注入热流体到具有相对低的渗​​透性的初始单相储存器。第二个例子注入冷水与相对高的渗透性的最初两相储存器。在前者的例子中，CIP方案是在从源扩大整个两相区不适用的。在另一方面，在后者的例子中，CIP方案适用于其中液体饱和与来自源扩大单相区域的扫改变相位过渡区。如结合运行采用CIP方案无论适用性索引的试用的比较表明数值故障被克服。

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