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

from set SAYLOR, from the Harwell-Boeing Collection

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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.
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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Structure Plot City Plot
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
totaldiagonalbelow diagonalabove diagonalA-A'
3750 1000 1375 1375 0
Column Data Row Data
Average nonzeros per column : 3.8
Standard deviation : 2

longest214 7
shortest101 1

Average nonzeros per row : 3.8
Standard deviation : 2

longest214 7
shortest101 1

Bandwidths Profile Storage
lower101 upper101
average |i-j|20
lower bandwidth1 101 36 44
upper bandwidth1 101 36 44

Symmetric skyline storage requirement:35740

Heaviest diagonals
offset from main0 -10 10 -1 1 -100 100
nonzeros1000 598 598 462 462 315 315
accumulated percent26.6742.6158.5670.8883.2091.60100.00

Top 7 out of 7 nonvoid diagonals.
Frobenius norm43 condition number (est.)1e+02
2-norm (est.)5 diagonal dominanceno

Set Information

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: ]