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中文摘要：
本着从实践中寻求解决问题的思想,课题组于2006年针对圆形隧洞提出了一套简单易行的弹塑性参数反演方法。在此基础上,本文基于复变理论将该法进一步推广至城门洞形隧洞,并对强度参数反演的合理性和唯一性进行了探讨。首先以城门洞形隧洞围岩变形的弹性解为基础,推证了拱顶竖向位移和侧壁中点位移之比与弹性模量无关这一结论,进而构建了城门洞形隧洞弹性参数反演理论。随后从实用的角度出发,指出以相同比例将拱顶和侧壁位移的计算值与实测值进行对应作为评价反演结果的标准并不可取,进而根据隧洞开挖应力释放规律,对强度参数反演评价标准进行了改进,并从数学角度出发探讨了强度参数反演的唯一性。最后通过实际工程对城门洞形隧洞弹塑性参数反演方法的适用性和可靠性进行了验证,以期该研究成果能够使岩土工程反演方法更加适用于实际工程。
英文摘要：
Based on the thought of seeking problem-solving approaches in practice, an effective and simple method was previously presented which is used for back-analysis of the elastoplastic displacement of a circular tunnel. In this paper, the method is promoted to the gate arch-shaped tunnel applying the complex function theory, and rationality and uniqueness of its strength parameters are discussed. First, using the elastic solutions of deformation in such tunnels, the authors prove a conclusion that the ratio of arch vertical displacement over side-wall horizontal displacement is independent of Young＇s modulus, and an elastic back-analysis theory is formulated. Then, we point out that the criteria of elastic parameters from back-analysis is unreasonable since analysis values are compared with measured values at the same ratios of vaults and side walls. An improved criteria is derived by the stress release rules, and the uniqueness of strength parameters is discussed from the view of mathematics. Finally, application in a case study of an actual project verifies the applicability and reliability of the promoted back-analysis method. This study would improve the applicability of geotechnical back-analysis to actual projects.
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