Mechanical parameters of rock mass are essential in rock engineering for stability analysis, supporting design, and safety construction. The inverse analysis has been commonly used in rock engineering to determine the mechanical parameters of the rock mass. In this study, a novel inverse analysis approach was proposed through combing high dimensional model representation (HDMR), Excel solver, and numerical model. HDMR was employed to approximate the nonlinear function between the mechanical parameters of rock mass and the response of rock based on the numerical model. Excel Solver was adopted to search the mechanical parameters of rock mass based on the HDMR model for the inverse analysis. The proposed method was verified and illustrated the performance of the proposed method by two tunnels. The mechanical parameters of rock mass were determined based on the displacement of surrounding rock mass and HDMR model using the Excel solver for the tunnels. The displacement and stress of surrounding rock mass were computed based on the determined mechanical parameters of rock mass by the proposed method. There was an excellent agreement with the real value or contour that was computed based on the actual mechanical parameters of the rock mass. The results demonstrated that the proposed method was practical and accurate. It also made it convenient to be applied to determine mechanical parameters of rock mass based on monitored information.

岩体的机械参数对于岩石工程进行稳定性分析，支撑设计和安全施工至关重要。反分析通常在岩石工程中用于确定岩体的力学参数。在这项研究中，通过组合高维模型表示（HDMR），Excel求解器和数值模型，提出了一种新颖的逆分析方法。基于数值模型，采用HDMR近似估算岩体力学参数与岩石响应之间的非线性函数。基于HDMR模型，采用Excel Solver对岩体力学参数进行反演分析。对该方法进行了验证，并通过两条隧道说明了该方法的性能。隧道的Excel参数求解器根据围岩的位移和HDMR模型确定了岩体的力学参数。该方法根据确定的岩体力学参数，计算了围岩的位移和应力。根据岩体的实际机械参数计算出的实际值或轮廓与高度吻合。结果表明，该方法是实用且准确的。这也使得基于监测信息确定岩体力学参数变得很方便。该方法根据确定的岩体力学参数，计算了围岩的位移和应力。根据岩体的实际机械参数计算出的实际值或轮廓与高度吻合。结果表明，该方法是实用且准确的。这也使得基于监测信息确定岩体力学参数变得很方便。该方法根据确定的岩体力学参数，计算了围岩的位移和应力。根据岩体的实际机械参数计算出的实际值或轮廓与高度吻合。结果表明，该方法是实用且准确的。这也使得基于监测信息确定岩体力学参数变得很方便。