@Article{sl.2013.010.085,
AUTHOR = {Boyun Guo, Yin Feng},
TITLE = {A New Solution Algorithm for Multi-Dimensional Reservoir Simulation},
JOURNAL = {Structural Longevity},
VOLUME = {10},
YEAR = {2013},
NUMBER = {2},
PAGES = {85--94},
URL = {http://www.techscience.com/sl/v10n2/42923},
ISSN = {1944-6128},
ABSTRACT = {A new numerical procedure, called Semi-Alternating Direction Implicit (SADI), was developed for solving the Diffusivity Equation (DE) using the
Finite Difference Method (FDM) in this study. The SADI procedure was compared with the Simultaneous Sweep (SS) procedure and the Alternating Direction
Implicit (ADI) procedure in terms of numerical stability and computing speed in a
3-dimensional oil reservoir simulator. Results from the model-testing indicate that,
due to different degrees of numerical dispersion, the function values generated by
the SADI procedure are slightly greater than that by the SS procedure and the ADI
procedure. The SADI procedure is as stable as the SS procedure, and is much more
stable than the ADI procedure. The maximum stable time-step size with SADI is
at least twice that with ADI. The SADI procedure is as fast as the ADI procedure
and over a thousand times faster than the SS procedure. SADI’s nature of increasing speed of computation does not diminish quickly as the time step size increases.
The advantage of the SADI procedure in speeding up computation is more pronounced in large scale (large number of grid blocks) systems than in small scale
systems. Although the SADI procedure was tested in an oil reservoir simulator that
is used in the petroleum industry, the procedure is equally valid for any numerical
simulations that involve solving the DE using the FDM.},
DOI = {10.3970/sl.2013.010.085}
}