Exact Analytical Solution of the Telegraphic Warren and Root Model

被引：4
|
作者：
Gonzalez-Calderon, Alfredo [1 ]
Vivas-Cruz, Luis X. [1 ]
Salmeron-Rodriguez, Uriel [1 ]
机构：
[1] Ctr Ingn & Desarrollo Ind CIDESI, CONACyT, Ave Playa Pie Cuesta 702, Queretaro 76125, Qro, Mexico
来源：
TRANSPORT IN POROUS MEDIA | 2017年 / 120卷 / 02期
关键词：
Inversion Laplace transform; Telegraphic fluid flow; Double-porosity model; DOUBLE-POROSITY; TRANSIENT FLOW; BEHAVIOR; INVERSION; WELL;
D O I：
10.1007/s11242-017-0932-y
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
We exactly solved a Warren and Root-like model that considers telegraphic fluid flow, a constant hydraulic head at the bottomhole, and an infinite Euclidean reservoir with radial flux. Complex integrals on the Bromwich contour are used to obtain the exact solutions of the hydraulic head and flux. Given that the behavior of the propagation of the hydraulic head has a discontinuous front, this system is appropriate for evaluating numerical methods that have difficulties with discontinuities. To this end, the results from the Stehfest method and Iseger method are analyzed.
引用
收藏
页码：433 / 448
页数：16
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