Analysis solution for tunnels due to the influence of adjacent ellipse karst cave
Received:October 09, 2012  Revised:December 30, 2012
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DOI:10.7511/jslx201401010
KeyWord:tunnel  karst cave  complex variable method  Cauchy’s integral method  Schwarz’s alternating method
        
AuthorInstitution
陈福全 福州大学 土木工程学院, 福州
苏锋 福州大学 土木工程学院, 福州 ;中国水电顾问集团 华东勘测设计研究院, 杭州
施有志 华侨大学 土木工程学院, 泉州
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Abstract:
      Problems of karst collapse may often occur in railway and highway construction.How to evaluate the influence of existed karst on adjacent tunnels reasonably is meaningful to design of tunnel engineering in karst regions.Considering a simplified cave as ellipse shape section and tunnel as circular,a simplified analysis solution for stresses and deformation characteristic of tunnel due to the influence of adjacent ellipse karst cave is proposed in the paper.Schwarz's alternating method was used to derive the formulas for calculating the stress and displacement of the surrounding rocks.Since the depth is larger than the size of the tunnel,the effect of gravity gradient is ignored,and gravity loads are simplified as uniform normal loads along far-field boundary.Comparison between the results from the closed solutions and those from numerical analysis by two-dimensional finite element method indicates that the closed solution is reliable and applicable for the stress and displacement field around circular tunnels adjacent to the influence of an ellipse karst cave at great depth.