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Abstract After tunnel is excavated，the effect of seepage on the surrounding rock is very serious. So far，the differences of seepage are remarkable between the analytical results or numerical results and the practical seepage influence. While analyzing，the considered seepage area is the whole half-plan，not only the calculating load is enlarged，but also the surrounding rock is not influenced more seriously by the farther seepage. Aiming at the problems of the nonlinear seepage and the calculated watershed in surrounding rock，a simple and effective mathematical method is presented to derive the seepage force expression in the surrounding rock；and the effects of tunnel radius and embedded depth on the seepage action are also researched by the analytical expression。Comparisons between the analytical results and numerical results show that they coincide with each other very well，and that the mathematical method proposed is rational. Finally，the analytical expression is used to research the calculation seepage boundary，and a new theoretical method to calculate the seepage boundary is proposed. The results not only satisfy the seepage requirements，but also save the calculation load.
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Received: 15 September 2014
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2014, Vol. 33 
