The estimation of the deformation modulus of a rock mass is a fundamental factor in the design of civil works such as tunnels and dams. However, it is one of the parameters that entails highest difficulty when evaluating the rock mass. In this paper, a new analytical model is presented to assess rock mass deformability, with the aim of improving the estimation of the properties and their implementation in numerical models. The model presented is analytical, anisotropic and based on the equivalent continuum approach, and considers: the geometry of the rock mass for orientation, spacing and thickness of the discontinuities, the presence of fill; and, finally, the deformational properties of the intact rock and the discontinuities. The resultant model was adapted for the specific case of filled discontinuities using both the linear elastic model and the Hertz-Mindlin law. The assessment presented includes: the implementation of the model, the analysis of various theoretical scenarios, the estimation of deformabilities for multiple cases, a numerical validation using the Distinct Element Method, and a discussion of the scale effect. The results are compared with some empirical formulations for the deformability assessment of rock masses. This comparison underlines the importance of separately considering all the factors that define the rock mass, as well as the necessity of heeding the anisotropy caused by the orientation of the discontinuity sets.

岩体变形模量的估计是隧道和大坝等土建工程设计的基本因素。但是，它是评估岩体时需要最大难度的参数之一。在本文中，提出了一种新的分析模型来评估岩体的可变形性，目的是改进对特性的估计及其在数值模型中的实现。所提出的模型是解析的，各向异性的，并且基于等效连续体方法，并考虑了：定向，间隔和厚度的岩体几何形状，不连续性的存在；最后是完整岩石的变形特性和不连续性。使用线性弹性模型和Hertz-Mindlin定律，针对填充不连续的特定情况调整了所得模型。提出的评估包括：模型的实现，各种理论场景的分析，多种情况下的变形能力的估计，使用离散元方法的数值验证以及对规模效应的讨论。将结果与一些经验公式进行比较，以评估岩体的可变形性。这种比较强调了单独考虑定义岩体的所有因素的重要性，以及注意由不连续集的方向引起的各向异性的必要性。分析各种理论场景，估计多种情况下的变形能力，使用离散元方法进行数值验证以及讨论尺度效应。将结果与一些经验公式进行比较，以评估岩体的可变形性。这种比较强调了单独考虑定义岩体的所有因素的重要性，以及注意由不连续集的方向引起的各向异性的必要性。分析各种理论情景，估计多种情况下的变形能力，使用离散元方法进行数值验证以及讨论尺度效应。将结果与一些经验公式进行比较，以评估岩体的可变形性。这种比较强调了单独考虑定义岩体的所有因素的重要性，以及注意由不连续集的方向引起的各向异性的必要性。