本研究的主要目的為建立一套深開挖底面隆起穩定及服務狀態限度下最大壁體變形量的可靠度設計架構。根據研究顯示空間變異性的平均效應對於底面隆起穩定的可靠度設計有顯著的影響，忽略空間變異性之平均效應會導致過份保守之設計。以實際案例校準底面隆起穩定設計公式顯示修正Terzaghi 法幾乎無偏差，而且該分析方法之變異性亦小。Bjerrum and Eide 的方法則是趨於保守側，該分析方法的變異性最小。對於slip circle 法來說，該方法是最保守的方法，然而該分析方法的變異性為最大。最終乃根據研究成果，建立起一套深開挖底面隆起穩定的可靠度設計架構與圖表。
根據現地有無地中壁案例之壁體變形行為之研究，顯示地中壁對於抑制壁體變形之成效良好。本研究乃根據連續壁、地中壁以及支撐間之力學行為機制，提出等值擋土支撐系統勁度的估算方法，該方法亦適用於無地中壁案例，且經由實際案例驗證該方法可特徵化最大壁體變形量之行為。本研究進一步以實際案例為基礎提出一個可估算在有無地中壁案例之最大壁體變形量的回歸公式。在考量輸入參數之變異性以及回歸公式之分析模型的不確定性，發展出一套在服務狀態限度下最大壁體變形量之部分係數可靠度設計架構以及圖表。

The main purpose of this study is to develop a reliability based design framework for basal heave stability and serviceability limit state design on maximum wall displacements. In this study, it is found that the spatial averaging effect has significant influence on the reliability based design (RBD) of basal heave stability, and neglecting spatial averaging effect will lead to over-conservative design. Calibration of model uncertainty based on case histories reveals that modified Terzaghi’s method is almost unbiased with small model c.o.v., while Bjerrum and Eide’s method is biased to the conservative side with smallest model c.o.v., and slip circle is the most conservative method with largest model c.o.v.. Finally, reliability based design charts of basal heave stability are established.
Through the investigation on the observed performance of wall displacements for cases with and without cross walls in deep excavations, it reveals that cross walls are effective for the constraint of wall displacements. In addition, the equivalent retaining walls system stiffness composed of diaphragm walls, cross walls and lateral supports based on its mechanism is proposed which is also applicable for cases without cross walls, and is validated to be appropriate for characterizing the behavior of maximum wall displacement. Furthermore, a regression model for estimating maximum wall displacements for deep excavations with and without cross walls is developed based on case histories. With consideration of the variability of model input parameters and the model uncertainty of the regression model, the design charts for RBD applied for the serviceability limit state design of maximum wall displacements in terms of partial factors are developed.

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