A Study of the Behavior of Implicit Pressure Explicit Saturation (IMPES) Schedules for Two-phase Flow in Dynamic Pore Network Models
A Study of the Behavior of Implicit Pressure Explicit Saturation (IMPES) Schedules for Two-phase Flow in Dynamic Pore Network Models
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DOI：
10.1007/s11242-012-9952-9
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发表时间：
2012-02
影响因子：
2.7
通讯作者：
J. Lux;Y. Anguy
中科院分区：
文献类型：
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作者：
J. Lux;Y. Anguy
我们专注于典型的隐式压力显式饱和度（IMPES）的动态“球棒”孔隙网络模型的两相流时间表的数值困难。我们表明，一个时间步进程序的基础上规定的最大变化的thelocalcapillary压力，而不是（通常）的最大变化的局部饱和度沿着与添加在解决方案中的算法，适当的“流动约束”（在科普利克和Lasseter，Soc.宠物。Eng. J. 25（1）：89-100，1985）提供更高的稳定性和显着的运行时间加速。特别是，缓慢的收敛和振荡的行为，典型的IMPES计划在低钙值，由于毛细管钉扎有效地抑制。
We focus on the numerical difficulties that typify implicit pressure explicit saturation (IMPES) schedules in dynamic “ball-and-stick” pore network models for two-phase flow. We show that a time stepping procedure based on a prescribed maximum variation of thelocalcapillary pressure rather than on a (usual) maximum variation of the local saturation along with the addition in the solution algorithm of suitable “flow constraints” (in Koplik and Lasseter, Soc. Pet. Eng. J. 25(1):89–100, 1985) provide more stability and a significant run time speed up. In particular, the slow convergence and the oscillatory behavior that typify IMPES schemes at low Ca values due to capillary pinning are efficiently suppressed.