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The Effect of Bayesian Updating in the Hazard Assessment of Submarine Landslides

机译:贝叶斯更新在海底滑坡危险性评估中的作用

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This paper introduces a Bayesian methodology to conduct landslide hazard assessment. The proposed approach demonstrates how a probabilistic method can incorporate evolving information about a site for progressively more certain geotechnical characterization. The probabilistic method presented herein is called the Bayesian framework, which integrates a physics-based model defining certain characteristic or phenomenon related to the site, state of evidence on the model parameters, and experimental observations to produce an updated state of evidence on the model parameters and more confident model predictions. This study focuses on landslide geohazard of a site using the physics-based infinite block slope model to estimate the probability of submarine slope failure. The probability of failure against sliding is estimated using the predictions of the infinite slope model under static loading condition for different states of evidence on the model parameters. A state of evidence reflects the level of knowledge about a parameter which describes an attribute of the site such as bathymetry or geotechnical properties of the in-situ soil. This research studies the influence of increasing states of evidence on the confidence gain in model predictions and subsequent updates in the estimates of probability of failure. Predictions based on the infinite slope model are made using the Monte-Carlo algorithm through random sampling of the model parameters. The state of evidence on the model parameters is incorporated in the algorithm by considering the model parameters as random variables following a probability distribution function. These probability distributions, also known as the prior probability distributions, represent the initial state of evidence on the model parameters. The Bayesian framework is used to conduct sequential calibration of the infinite slope model using synthetically generated data on the shear strength of the in-situ soil. These experimental observations represent the state of evidence on the soil conditions. In this paper two sets of data containing 5 and 20 data 'sample' points, respectively are used to calibrate the infinite slope model. Calibration of the model results in an updated state of evidence on the model parameters and generates a new set of probability distributions known as the posterior probability distributions. The posterior distributions more accurately describe the potential range of value that the parameters can attain. Comparison between the model predictions based on the initial state of evidence and the updated states of evidence shows a gain in the certainty of the model predictions.
机译:本文介绍了一种贝叶斯方法进行滑坡灾害评估。所提出的方法演示了概率方法如何将有关站点的不断发展的信息用于逐步确定的岩土工程特征。本文介绍的概率方法称为贝叶斯框架,该框架集成了基于物理的模型,该模型定义了与该站点有关的某些特征或现象,模型参数上的证据状态以及实验观测以生成模型参数上的最新证据状态以及更自信的模型预测。这项研究的重点是使用基于物理学的无限块斜坡模型来估算海底斜坡破坏的可能性,从而研究某地点的滑坡地质灾害。对于模型参数的不同证据状态,使用无穷斜率模型在静态载荷条件下的预测,可以估计发生滑动失败的可能性。证据状态反映了有关参数的知识水平,该参数描述了站点的属性,例如原位土壤的测深法或岩土属性。这项研究研究了证据不断增加的状态对模型预测中的置信度增益以及随后的故障概率估计值的更新的影响。通过对模型参数进行随机采样,使用蒙特卡洛算法对基于无限斜率模型的预测进行了预测。通过将模型参数视为遵循概率分布函数的随机变量,将模型参数的证据状态并入算法中。这些概率分布,也称为先验概率分布,表示模型参数上证据的初始状态。贝叶斯框架用于使用合成生成的原位土壤抗剪强度数据对无限斜率模型进行顺序校准。这些实验观察结果代表了土壤条件的证据状态。在本文中,分别使用包含5个和20个数据“样本”点的两组数据来校准无限斜率模型。模型的校准会导致模型参数的证据状态更新,并生成称为后验概率分布的一组新的概率分布。后验分布更准确地描述了参数可以达到的潜在价值范围。基于证据的初始状态和证据的更新状态的模型预测之间的比较表明,模型预测的确定性有所提高。

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