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SHERMAN1: Oil reservoir simulation challenge matrices
Black oil simulation, shale barriers (NX = NY = NZ = 10, NC = 1 )

from set SHERMAN, from the Harwell-Boeing Collection

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Visualizations

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Structure Plot City Plot
structure plot city plot
3D Interactive City Plot

[ VRML Version 2, gzipped ] 444502 bytes


Matrix Statistics

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

indexnonzeros
longest214 7
shortest101 1

Average nonzeros per row : 3.8
Standard deviation : 2

indexnonzeros
longest214 7
shortest101 1

Bandwidths Profile Storage
lower101 upper101
average |i-j|20 std.dev.36
minmaxave.std.dev.
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.
Conditioning
Frobenius norm43 condition number (est.)2.3e+04
2-norm (est.)5 diagonal dominanceno


Set Information

Set SHERMAN
Source: Andy Sherman, Nolan and Associates, Houston, TX.
Discipline:Oil reservoir modeling
Accession:Autumn 1984


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