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Numerical methods and HPC
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Table 7

Comparison of the residual oil saturation estimates uncertainty ranges resulting from a 25 or 50 ppm error in the alcohol and ester outlet concentration profiles maximum peak amplitudes measurement, when using first- and minmod second-order schemes and performing a grid refinement (see the text). Negative values are reported as zero values.

ΔC (ppm) Scheme n S orw (−) (−) (−) (−) (−)
25 O(1) 1 0.138 0.073 0.149 0 0.627
2 0.160 0.161 0.160 0 0.440
4 0.177 0.176 0.177 0.041 0.336
8 0.172 0.167 0.175 0.085 0.267
16 0.165 0.159 0.170 0.104 0.229
O(2m) 1 0.127 0.064 0.148 0 0.451
2 0.164 0.145 0.174 0.010 0.343
4 0.184 0.174 0.191 0.088 0.289
8 0.174 0.167 0.181 0.112 0.240
16 0.165 0.155 0.174 0.114 0.217
50 O(1) 1 0.138 0.808 0.155 0 1
2 0.160 0.162 0.160 0 0.621
4 0.177 0.181 0.175 0 0.429
8 0.172 0.169 0.173 0.046 0.318
16 0.165 0.161 0.168 0.077 0.263
O(2m) 1 0.127 0 0.152 0 0.601
2 0.164 0.138 0.174 0 0.420
4 0.184 0.172 0.192 0.056 0.327
8 0.174 0.165 0.181 0.088 0.268
16 0.165 0.155 0.173 0.097 0.236

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