Geology Reference
In-Depth Information
In 1999, the United States Department of Energy, through its Small
Business Innovation Research (SBIR) program, supported the author' s project
proposal
Irregular Grid Generation and Rapid 3D Color Display Algorithm
developing new methods for custom grid generation for arbitrary geometric
problem domains. As suggested in Figure 10.8a, any area with an arbitrary
internal cut-out can be “mapped” into a rectangular coordinate space which
solves a simpler problem; the color sketch at the right, for instance, shows a
“Texas shaped oilfield” producing oil or gas from a general fracture, in which
Darcy' s transient and steady formulations had served as host solvers.
Figure 10.8a.
Reservoir flow from “fracture in Texas-shaped” field.
The method is now extremely well developed, and improvements over the
years are discussed in the author' s topics
Borehole Flow Modeling in
Horizontal, Deviated and Vertical Wells
(Gulf Publishing, 1992),
Modern
Reservoir Flow and Well Transient Analysis
(Gulf Publishing, 1993),
Computational Rheology for Pipeline and Annular Flow
(Elsevier, 2001),
Quantitative Methods in Reservoir Engineering
(Elsevier, 2002) and
Managed
Pressure Drilling: Modeling, Strategy and Planning
(Elsevier, 2012), where
algorithm details are also provided. For instance, Figures 10.b,c provide
formulations for “singly” and also “doubly-connected” problem spaces. The
reader is referred to these publications for further discussion.
E
F
(x
outer
, y
outer
)
(x
inner
, y
inner
)
Specify
(x
outer
, y
outer
)
values
B
E
I
d
entical (x,y) values
F
A
I
d
entical (x,y) values
x
y
Specify
(x
inner
, y
inner
)
values
A
B
Figure 10.8b.
Doubly-connected “single hole only” grid.
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