## SAYLR4: Saylor's petroleum engineering/reservoir simulation matrices3D 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.

Help: My browser can't read the compressed data files. What now?

## 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

Click on label to get an explanation.

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

index nonzeros 233 7 3367 3

Average nonzeros per row : 6.3
Standard deviation : 0.75

index nonzeros 233 7 3367 3

Bandwidths Profile Storage
 lower upper 199 199 69 86
minmaxave.std.dev.
lower bandwidth1 199 1.9e+02 39
upper bandwidth1 199 1.9e+02 39

Symmetric skyline storage requirement:675507

Heaviest diagonals
 offset from main nonzeros accumulated percent 0 -198 198 -1 1 -33 33 3564 3366 3366 3040 3040 2970 2970 15.97 31.05 46.14 59.76 73.38 86.69 100

Top 7 out of 7 nonvoid diagonals.
Conditioning
 Frobenius norm condition number (est.) 440000 1e+02 13000 no

## Set Information

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

The Matrix Market is a service of the Mathematical and Computational Sciences Division / Information Technology Laboratory / National Institute of Standards and Technology.

[ Home ] [ Search ] [ Browse ] [ Resources ]