ANALYTIC CONTINUATION SOLUTION OF DEEP TWIN-TUNNELS
SU Feng1，2，CHEN Fuquan1，SHI Youzhi3
(1. School of Civil Engineering，Fuzhou University，Fuzhou，Fujian 350002，China；2. Department of Geotechnical
Engineering，Tongji University，Shanghai 200092，China；3. School of Civil Engineering，Huaqiao University，
Quanzhou，Fujian 362021，China)
Abstract：Considering the sequence of two-tunnel excavation，converting the underground space of tunnel to the case of elastic half-space under plane strain，an analytical solution is presented for stress and displacement of twin- tunnels with arbitrarily shape and size using analytic continuation method and Schwarz alternating method in an elastic half-plane. Because the depth is larger than the size of the tunnel，thus the effect of gravity gradient is ignored，and gravity loads are simplified as uniform normal loads along far-field boundary. As a special case，a close solution for stress and displacement field around circular twin-tunnels at great depth considering the influences of lining forces of tunnels is given. Circular twin-tunnels are subjected to uniform internal pressure and their construction sequences are properly taken into consideration. Comparison between the results of numerical analysis by two-dimensional finite element method and those from the closed solutions indicates that the closed solution is reliable and applicable for the stress and displacement field around the twin-tunnels at great depth.
HOWLAND R，KNIGHT R. Stress functions for a plate containing groups of circular holes[J]. Philosophical Transactions of the Royal Society of London Series A：Mathematical and Physical Engineering Sciences，1939，238(793)：357.
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2012, Vol. 31 
