SAYLR3: Saylor's petroleum engineering/reservoir simulation matrices
3D reservior (10x10x10)

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.
This matrix is almost identical to the matrix SHERMAN1 which is one of the oil reservoir simulation challenge matrices contributed by Andy Sherman of Nolan and Associates.

Download as

Compressed MatrixMarket format file: saylr3.mtx.gz (15339 bytes)
Compressed Harwell-Boeing format file: saylr3.rua.gz (12192 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 ] 444451 bytes

Matrix Statistics

Size	Type
1000 x 1000, 375 entries	real unsymmetric
Nonzeros
total diagonal below diagonal above diagonal A-A' 3750 1000 1375 1375 0
Column Data	Row Data
Average nonzeros per column : 3.8 Standard deviation : 2 index nonzeros longest 214 7 shortest 101 1	Average nonzeros per row : 3.8 Standard deviation : 2 index nonzeros longest 214 7 shortest 101 1
Bandwidths	Profile Storage
lower 101 upper 101 average |i-j| 20 std.dev. 36	min max ave. std.dev. lower bandwidth 1 101 36 44 upper bandwidth 1 101 36 44 Symmetric skyline storage requirement:35740
Heaviest diagonals
offset from main 0 -10 10 -1 1 -100 100 nonzeros 1000 598 598 462 462 315 315 accumulated percent 26.67 42.61 58.56 70.88 83.20 91.60 100.00 Top 7 out of 7 nonvoid diagonals.
Conditioning
Frobenius norm 43 condition number (est.) 1e+02 2-norm (est.) 5 diagonal dominance no

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