SAYLR4: Saylor's petroleum engineering/reservoir simulation matrices 3D reservior (33x6x18)
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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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Size
Type
3564 x 3564, 22316 entries
real unsymmetric
Nonzeros
total diagonal below diagonal above diagonal A-A' 22316 3564 9376 9376 0

Column Data
Row Data
Average nonzeros per column : 6.3 Standard deviation : 0.75

index nonzeros longest 233 7 shortest 3367 3

Average nonzeros per row : 6.3 Standard deviation : 0.75

index nonzeros longest 233 7 shortest 3367 3

Bandwidths
Profile Storage
lower 199 upper 199 average |i-j| 69 std.dev. 86

min max ave. std.dev. lower bandwidth 1 199 1.9e+02 39 upper bandwidth 1 199 1.9e+02 39

Symmetric skyline storage requirement: 675507

Heaviest diagonals
offset from main 0 -198 198 -1 1 -33 33
nonzeros 3564 3366 3366 3040 3040 2970 2970
accumulated percent 15.97 31.05 46.14 59.76 73.38 86.69 100.00

Top 7 out of 7 nonvoid diagonals.
Conditioning
Frobenius norm 4.4e+05 condition number (est.) 1e+02 2-norm (est.) 1.3e+04 diagonal dominance no

Set Information
Set SAYLOR
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
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