In seismic analysis of concrete gravity dam and reservoir systems using finite-element models, finding an appropriate and simple reservoir upstream truncation condition has been a challenging issue for researchers. The Sommerfeld condition is the classical approach most engineers use for this purpose and it is widely available in commercial finite-element software. In 2012, Wavenumber method was proposed as an alternative approach. The main goal of the present study is to modify this approach so it can handle vertical as well as horizontal ground motions. Moreover, the aim of the study is to evaluate the performance of the approach more thoroughly in comparison to the Sommerfeld truncation boundary, especially for vertical ground motions. With this aim, Pine Flat dam in the USA is used as a typical example. Several models are considered with different values of normalised reservoir length. The dynamic loading considered is the local Taft earthquake record of 1952. Furthermore, two types of reservoir base condition – full reflective and absorptive – are adopted. Overall, this allowed for a thorough examination and evaluation of the effectiveness of the wavenumber-TD approach for seismic analysis of concrete gravity dams.

中文翻译：

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用Wavenumber-TD法进行混凝土重力坝瞬态分析的通用激励法。

在使用有限元模型对混凝土重力坝和水库系统进行地震分析时，寻找合适且简单的水库上游截断条件一直是研究人员面临的挑战。Sommerfeld条件是大多数工程师用于此目的的经典方法，并且在商业有限元软件中可以广泛使用。在2012年，提出了使用Wavenumber方法作为替代方法。本研究的主要目标是修改此方法，使其可以处理垂直和水平地面运动。此外，该研究的目的是与Sommerfeld截断边界相比，尤其是垂直地面运动，更全面地评估该方法的性能。为此，以美国的Pine Flat大坝为例。考虑了几种具有不同归一化储层长度值的模型。考虑的动态荷载是1952年塔夫脱地震的当地记录。此外，采用了两种类型的储层基础条件–全反射和吸收–。总的来说，这可以彻底检查和评估波数-TD方法在混凝土重力坝地震分析中的有效性。