The invention relates to a method for calculating an empirical relation expression between gas-liquid Sherwood numbers inside a
porous medium by applying CT. The method comprises the steps of firstly calculating the bubble
volume content and a gas-liquid
mass transfer Sherwood number inside the
porous medium of different gas injection and
liquid injection directions according to a CT
image stack; calculating a liquid-phase Reynolds number according to lamellar average
porosity, the bubble
volume content and the
liquid injection speed; classifying the acquired Sherwood numbers, the Reynolds numbers and the
volume content values into different data sets according to different gas injection and
liquid injection directions; dividing each
data set into a plurality of different local data sets, setting a target empirical relation expression, performing local
nonlinear regression analysis, and quickly searching and eliminating abnormal values which are possibly caused by the measurement process by being combined with corresponding CT images; and then performing global
nonlinear regression analysis on the remaining data to acquire an empirical relation expression between gas-liquid Sherwood numbers inside the
porous medium under different gravity conditions. The calculation and convergence speed of a fitting model is accelerated, a real and effective data result in the experiment process is completely covered, and the model precision is improved.