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

from set SAYLOR, from the Harwell-Boeing Collection

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.

Download as

Compressed MatrixMarket format file: saylr4.mtx.gz (86622 bytes)
Compressed Harwell-Boeing format file: saylr4.rua.gz (54657 bytes)

Visualizations

Click on image to get an enlarged version. Click on label to get an explanation.

Structure Plot	City Plot
	3D Interactive City Plot
	[ VRML Version 2, gzipped ] 483718 bytes

Matrix Statistics

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

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