(1. School of Earth Science and Engineering，Xi'an Shiyou University，Xi'an，Shaanxi 710065，China；2. Institute of Water Resources and Hydro-electric Engineering，Xi'an University of Technology，Xi'an，Shaanxi 710048，China；3. School of Civil Engineering and Architecture，Xi'an University of Technology，Xi'an，Shaanxi 710048，China；4. Northwest Electric Power Design Institute of China Power Engineering Consulting Group，Xi'an，Shaanxi 710075，China)
Abstract：The quantitative relationship between the face stability and construction conditions on soil tunnel is introduced. First，an implicit function to strength parameters and construction parameters is proposed by analyzing the safety factor of face stability. The implicit function is transformed to the polynomial expression on construction parameters via multi-function Taylor formula. A technical method of getting the approximate expressions of safety factor of face stability under a single construction parameter is introduced. Mainly，the response surface methodology is used to determine the Taylor expansions of under multiple variables of construction parameters. It illustrated the applications of the proposed methods in ideal tunneling model. Finally，in the Shizilong tunnel project，the results showed that a first-order Fs model of in the initial region of U1 was appropriate，and then gradient ascent method is used to optimized the regional U2. By the central composite design，a validity second-order Fs model is calculated，and the effectiveness was verified by ANOVA.
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2016, Vol. 35 
