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SAYLR4: Saylor's petroleum engineering/reservoir simulation matrices
3D reservior (33x6x18)

from set SAYLOR, from the Harwell-Boeing Collection

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From 3D simulation of reservoirs in which shale poses vertical barriers to fluid flow and creates an almost random heterogeneity in the coefficient matrix. There are, in addition, enormous local contrasts in the transmissibility coefficients of the differential equation. These properties characterize matrices that are difficult to solve.

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Structure Plot City Plot
structure plot city plot
3D Interactive City Plot

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Matrix Statistics

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Size Type
3564 x 3564, 22316 entries real unsymmetric
totaldiagonalbelow diagonalabove diagonalA-A'
22316 3564 9376 9376 0
Column Data Row Data
Average nonzeros per column : 6.3
Standard deviation : 0.75

longest233 7
shortest3367 3

Average nonzeros per row : 6.3
Standard deviation : 0.75

longest233 7
shortest3367 3

Bandwidths Profile Storage
lower199 upper199
average |i-j|69
lower bandwidth1 199 1.9e+02 39
upper bandwidth1 199 1.9e+02 39

Symmetric skyline storage requirement:675507

Heaviest diagonals
offset from main0 -198 198 -1 1 -33 33
nonzeros3564 3366 3366 3040 3040 2970 2970
accumulated percent15.9731.0546.1459.7673.3886.69100.00

Top 7 out of 7 nonvoid diagonals.
Frobenius norm4.4e+05 condition number (est.)1e+02
2-norm (est.)1.3e+04 diagonal dominanceno

Set Information

Source: Richard Kendall, Don Peaceman, Herb Stone, and Bill Watts, Exxon
Discipline:Oil reservoir modeling
Accession:Summer 1984

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Last change in this page: Wed Sep 22 13:33:50 US/Eastern 2004 [Comments: ]