Abstract
Liquid bridges play a significant role in maintaining capillary continuity across porous blocks in fractured rocks. Capillary continuity created by liquid bridges is important in various fields such as oil recovery from naturally fractured oil reservoirs, water resources and environmental applications. In this paper, static liquid bridges are mathematically studied. A new dimensionless analysis of the Young-Laplace equation is developed, where the shape of the liquid bridge surface is characterized with two dimensionless parameters. Through this dimensionless scaling, under the absence of gravity, an integral describing the gas-liquid interface variation of a liquid bridge is obtained and evaluated numerically. The findings of this work improve our understanding of fluid flow in fractured porous media.
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