## SAYLR3: Saylor's petroleum engineering/reservoir simulation matrices3D 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.

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## Visualizations

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Structure Plot City Plot
3D Interactive City Plot

[ VRML Version 2, gzipped ] 444451 bytes

## Matrix Statistics

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Size Type
1000 x 1000, 375 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
3750 1000 1375 1375 0
Column Data Row Data
Average nonzeros per column : 3.8
Standard deviation : 2

index nonzeros 214 7 101 1

Average nonzeros per row : 3.8
Standard deviation : 2

index nonzeros 214 7 101 1

Bandwidths Profile Storage
 lower upper 101 101 20 36
minmaxave.std.dev.
lower bandwidth1 101 36 44
upper bandwidth1 101 36 44

Symmetric skyline storage requirement:35740

Heaviest diagonals
 offset from main nonzeros accumulated percent 0 -10 10 -1 1 -100 100 1000 598 598 462 462 315 315 26.67 42.61 58.56 70.88 83.2 91.6 100

Top 7 out of 7 nonvoid diagonals.
Conditioning
 Frobenius norm condition number (est.) 43 1e+02 5 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 [Comments: ]