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| Studying on water saturation distribution in oil-water fluid flow area is meaningful to the high, stabilized production and improvement of ultimate recovery. In this paper, by introducing relational expression between relative permeability and water saturation to the fractional flow equation, we get an expression between water cut and water saturation; By combining differentiation of water cut to the expression, we get a three dimensional (3D) equation between water saturation, distance and time; After expanding it with Taylor expansion and solving it with Vieta's Theorem, we find the distribution of water saturation related to time and distance in oil-water fluid flow area; By applying this formula to certain sandstone reservoir in China, we get the water saturation distribution in 100 days and 200 days and drew corresponding figures. |
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| Keywords:relative permeability; water saturation; Taylor expansion; Buckley-Leverett equation; Vieta's Theorem |
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