Analytical Approximate Expression for Cocurrent Imbibition during Immiscible Two-Phase Flow through Porous Media

Table 1

𝜂	𝜉∗	𝜉∗∗	𝜉∗∗∗
0	0	0	0
0.1	0.1125	0.0141	−0.0039
0.2	0.2227	0.0160	−0.0081
0.3	0.3286	0.0073	−0.0090
0.4	0.4284	−0.0092	−0.0049
0.5	0.5205	−0.0300	0.0039
0.6	0.6039	−0.0519	0.0159
0.7	0.6778	−0.0718	0.0280
0.8	0.7421	−0.0874	0.0373
0.9	0.7969	−0.0975	0.0422
1	0.8427	−0.1017	0.0418
1.1	0.8802	−0.1004	0.0368
1.2	0.9103	−0.0946	0.0281
1.3	0.9340	−0.0855	0.0194
1.4	0.9523	−0.0744	0.0078
1.5	0.9661	−0.0626	−0.0011
1.6	0.9764	−0.0510	−0.0079
1.7	0.9838	−0.0394	−0.0125
1.8	0.9891	−0.0310	−0.0147
1.9	0.9928	−0.0232	−0.0151
2	0.9953	−0.0169	−0.0141
2.5	0.9996	−0.0024	−0.0047
3	0.9999	−0.0002	−0.0006
3.5	1	−0.0	−0.0001
4	1	−0.0	−0.0001