An analytical solution is derived for two‐dimensional, steady ground water flow into a horizontal tunnel in a fully saturated, homogeneous, isotropic, and semi‐infinite aquifer. The hydraulic head and streamline distributions in the flow field, as well as the inflow rate, are obtained for a constant hydraulic head boundary condition at the tunnel perimeter. The inflow rate formula derived in this paper is an extension to the Polubarinova‐Kochina (1962) formula, which can be considered a special case of the present solution.
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Shizhong Lei (1999) studied this question.
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