Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media

Table 1

Numerical values of saturation of water at different values of time and distance.

𝑋	𝑇
	𝑆𝑖; 𝑇=0	𝑆𝑖; 𝑇=0.2	𝑆𝑖; 𝑇=0.4	𝑆𝑖; 𝑇=0.6	𝑆𝑖; 𝑇=0.8	𝑆𝑖; 𝑇=1
𝑋=0	0	0.136275	0.273109	0.410519	0.548521	0.687134
𝑋=0.2	0.0004	0.136679	0.273519	0.410934	0.548941	0.687560
𝑋=0.4	0.0016	0.137894	0.274748	0.412178	0.550202	0.688836
𝑋=0.6	0.0036	0.139918	0.276797	0.414253	0.552303	0.690964
𝑋=0.8	0.0064	0.142752	0.279666	0.417158	0.555244	0.693943
𝑋=1	0.01	0.146396	0.283355	0.420892	0.559025	0.697772