Canadian Geotechnical Journal, Ahead of Print.
This study proposed a probabilistic generic transformation model between two rock mass properties, specific fracture energy, Ev, and P-wave velocity, VP. To build the transformation model, 12 pairwise data sets of Ev and VP were collected from six different construction sites involving construction of mountain tunnels in Japan. This database is labeled as “RockMass/2/350”. A probabilistic transformation model was built based on a bivariate standard normal distribution with these 350 data points. The model is generic, because it is based on a variety of sites. The performance of the constructed transformation model was evaluated through a cross-validation. It was found that 98.2% of the validation data fell within the computed 95% confidence interval of the model estimation, and this result provides a preliminary validation of the probabilistic transformation model. Unlike existing deterministic transformation models for estimating VP from Ev, the proposed model can explicitly evaluate the transformation uncertainty with a quantitative metric such as a percentile. For practical application, a 3D model of the spatial distribution for Young’s modulus, E, was visualized based on the proposed transformation model. Since the proposed model is probabilistic, it can provide the spatial distribution for percentiles of E values. The constructed 3D model presented in this paper can be directly used as an input data for finite element or finite difference analysis, and probabilistic evaluation of excavation simulation is feasible based on the proposed probabilistic model. The quantitative information on such uncertainty can be useful in decision-making for tunnel constructions, such as selection of a cautious characteristic value.

中文翻译：

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两种岩体特性之间的概率通用转换模型：特定断裂能和纵波速度

加拿大岩土工程杂志，印刷前。
本研究提出了两种岩体特性、特定断裂能 Ev 和纵波速度 VP 之间的概率通用转换模型。为了构建转换模型，从日本涉及山岭隧道建设的 6 个不同施工现场收集了 12 个 Ev 和 VP 成对数据集。该数据库标记为“RockMass/2/350”。基于这 350 个数据点的二元标准正态分布建立了概率变换模型。该模型是通用的，因为它基于各种站点。通过交叉验证评估所构建的转换模型的性能。结果发现，98.2% 的验证数据落在计算的模型估计的 95% 置信区间内，该结果为概率变换模型提供了初步验证。与现有的根据 Ev 估计 VP 的确定性变换模型不同，所提出的模型可以使用百分位数等定量指标来明确评估变换不确定性。对于实际应用，基于所提出的变换模型，杨氏模量 E 的空间分布的 3D 模型被可视化。由于所提出的模型是概率性的，因此它可以提供 E 值百分位数的空间分布。本文构建的3D模型可以直接用作有限元或有限差分分析的输入数据，并且基于所提出的概率模型进行开挖模拟的概率评估是可行的。