Mechanics in Engineering ›› 2009, Vol. 31 ›› Issue (2): 27-30.

• Application study •

### DESIGN OF PARTIAL SIMILARITY MODELS AND THEIR EVALUATION METHOD IN WATER FLOODING PHYSICAL SIMULATION

Yuhu Bai,

• Received:2008-01-14 Revised:2008-04-14 Online:2009-04-10 Published:2011-09-06
• Contact: Yuhu Bai E-mail:byh_2002@163.com

Abstract: To quantitatively evaluate the partial similarity models of water flooding, a new numerical approach of sensitivity analysis is proposed for the sensitivity of the relaxed dimensionless parameter. The sensitivity factor quantifying the dominance degree of the relaxed dimensionless parameter is defined. By solving the dimensionless governing equations including all dimensionless parameters, the sensitivity factor of each relaxed dimensionless parameter is calculated for each partial similarity model, thus the dominance degree of the relaxed one is quantitatively determined. Based on the sensitivity analysis, the influence coefficient of the partial similarity model is defined as a criterion to evaluate each partial similarity model. The partial similarity model with the smallest influence coefficient can be singled out. Results show that the precision of the partial similarity model is not only determined by the number of dimensionless parameters but also by the relative relaxation quantity.