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Table 3

Comparison of the modeled rheological parameters.

Base fluid 0.25% MNC-OBDF 0.5% MNC-OBDF 1% MNC-OBDF 1.5% MNC-OBDF 2% MNC-OBDF 0.25% NG-OBDF 0.5% NG-OBDF 1% NG-OBDF 1.5% NG-OBDF 2% NG-OBDF
Bingham Plastic model 90 °F PV 0.0167 0.0183 0.0224 0.0242 0.0255 0.0285 0.0177 0.0182 0.0197 0.0223 0.0254
YP 3.9637 4.4262 5.0744 6.2212 6.9728 7.9781 3.9454 3.7851 4.4589 5.5389 5.9085
R 2 0.9830 0.9864 0.9866 0.9887 0.9879 0.9910 0.9843 0.9912 0.9875 0.9882 0.9922
140 °F PV 0.0117 0.0123 0.0156 0.0181 0.0215 0.0271 0.0123 0.0144 0.0141 0.0155 0.0187
YP 2.7837 3.6889 4.2351 5.9496 7.7374 7.6066 3.1789 2.9712 3.6469 3.9364 3.8816
R 2 0.9808 0.9866 0.9906 0.9834 0.9635 0.9865 0.9866 0.9959 0.9906 0.9810 0.9889
180 °F PV 0.0097 0.0118 0.0148 0.0171 0.0208 0.0242 0.0102 0.0108 0.0117 0.0122 0.0167
YP 2.3557 3.2536 4.6869 6.1026 7.1266 7.9297 2.7910 3.2719 3.3793 3.3046 3.8781
R 2 0.9641 0.9809 0.9659 0.9489 0.9529 0.9512 0.9736 0.9786 0.9753 0.9814 0.9871
Power law model 90 °F k 1.6397 1.9238 2.1308 2.9064 3.3581 3.9496 1.6047 1.5988 1.8842 2.4833 2.7159
n 0.3343 0.3234 0.3359 0.3042 0.2927 0.2854 0.3437 0.3437 0.3351 0.3149 0.3166
R 2 0.9688 0.9586 0.9611 0.9462 0.9404 0.9335 0.9666 0.9607 0.9629 0.9554 0.9429
140 °F k 1.1227 1.8049 2.0379 2.9635 3.5966 3.6362 1.4434 1.3755 1.7390 1.6871 1.5884
n 0.3389 0.2813 0.2940 0.2702 0.2758 0.2917 0.3089 0.3272 0.3002 0.3217 0.3496
R 2 0.9735 0.9449 0.9483 0.9480 0.9724 0.9413 0.9532 0.9369 0.9472 0.9685 0.9665
180 °F k 0.8381 1.4568 2.0491 2.6026 3.0331 3.2579 1.1686 1.5025 1.4667 1.4531 1.6444
n 0.3600 0.3057 0.2979 0.2926 0.2963 0.3064 0.3188 0.2923 0.3073 0.3105 0.3320
R 2 0.9847 0.9581 0.9732 0.9813 0.9844 0.9861 0.9731 0.9623 0.9719 0.9671 0.9652
Herschel Bulkley model 90 °F k 0.09463 0.09031 0.11160 0.09305 0.09272 0.09727 0.09295 0.06302 0.08811 0.09851 0.08543
n 0.7520 0.7718 0.7702 0.8074 0.8152 0.8243 0.7632 0.8221 0.7857 0.7871 0.8262
τ 0 2.923 3.400 3.809 5.122 5.873 6.820 2.904 3.036 3.440 4.397 4.891
R 2 0.9982 0.9994 0.9999 0.9978 0.9962 0.9986 0.9982 0.9978 0.9987 0.9993 0.9995
140 °F k 0.07082 0.05652 0.05253 0.07729 0.26750 0.12050 0.05652 0.03369 0.04295 0.08138 0.07269
n 0.7427 0.7817 0.8265 0.7921 0.6416 0.7867 0.7817 0.8779 0.8408 0.7631 0.8053
τ 0 2.018 3.038 3.611 5.051 5.480 6.209 2.528 2.588 3.137 3.026 3.025
R 2 0.9972 0.9973 0.9959 0.9889 0.9957 0.9966 0.9973 0.9994 0.9963 0.9942 0.9978
180 °F k 0.11600 0.07384 0.17460 0.32210 0.36480 0.43070 0.08334 0.07720 0.09543 0.07218 0.07618
n 0.6474 0.7383 0.6491 0.5841 0.5939 0.5916 0.7003 0.7190 0.7007 0.7456 0.7828
τ 0 1.360 2.461 3.178 3.818 4.457 4.804 1.969 2.477 2.438 2.521 3.001
R 2 0.9975 0.9986 0.9996 0.9957 0.9977 0.9960 0.9966 0.9990 0.9982 0.9973 0.9974

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