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Data-and knowledge-driven three-dimensional geological reconstruction method for tunnel engineering 认领 引用
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作者 Qiming Li Qian Fang +2 位作者 Jun Wang Gan Wang Peipei Shang 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2026年第6期4318-4336,共19页
The creation of a three-dimensional(3D)geological model plays a crucial guiding role in engineering.However,in practice,due to the sparsity of boreholes and the invisibility of strata,accurately reconstructing a 3D ge... The creation of a three-dimensional(3D)geological model plays a crucial guiding role in engineering.However,in practice,due to the sparsity of boreholes and the invisibility of strata,accurately reconstructing a 3D geological model has always been a challenging task.In this study,a data-and knowledge-driven 3D geological reconstruction method is proposed,where the Inverse Distance Weighting(IDW)method is integrated with computer vision techniques to improve the accuracy and reliability of geological modeling.The reconstruction of the geological model is realized by the reconstruction of continuous cross-sections in one direction.The reconstruction method integrates two deep learning models:a repair model that learns stratigraphic relationships from borehole data to reconstruct cross-sections,and an interpolation model that predicts intermediate sections by capturing stratigraphic distribution and variation patterns.The comparison with the IDW method and the ordinary kriging method on the virtual data verifies that the proposed method can capture the spatial distribution characteristics of the strata.An engineering example proves that the proposed method can be successfully applied to complex stratum modeling.The proposed method enhances and facilitates intuitive observation of both the reconstructed results and their uncertainties.The proposed method can provide guidance for underground engineering construction sites and contribute to their digital transformation. 展开更多
关键词 Three-dimensional geological modeling Machine learning Borehole data Stratigraphic uncertainty Voxel model
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Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation 认领 引用
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作者 Jixun CHU Jean-Michel CORON +1 位作者 Peipei SHANG Shu-Xia TANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2018年第2期201-212,共12页
In this paper, the authors consider the Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries （KdV for short） equation. By estimating the resolvent of the corresponding linear operator... In this paper, the authors consider the Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries （KdV for short） equation. By estimating the resolvent of the corresponding linear operator, the authors conclude that the semigroup 3 generated by the linear operator is not analytic but of Gevrey class δ ε （5, ） for t 〉 0, 展开更多
关键词 Korteweg-de Vries equation Resolvent estimation, Analytic semigroup,Gevrey class
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GLOBAL STABILITY FOR A TWO-STRAIN VIRUS INFECTION MODEL WITH INTRA-CELLULAR DELAY AND IMMUNE RESPONSE 认领 引用
3
作者 Zhaohui Yuan Peipei Shang Lingling Liu 《Annals of Differential Equations》 2014年第1期85-96,共12页
Considering the immune response and intracellular delay, we propose a two-strain virus model and investigate dynamics of this mathematical model. The global dynamics of the model are completely determined by introduci... Considering the immune response and intracellular delay, we propose a two-strain virus model and investigate dynamics of this mathematical model. The global dynamics of the model are completely determined by introducing suitable Lyapunov functionals. We show that if the basic reproduction number is less than one, then both strains die out; but when the number is greater than one, at least one of the strains become endemic depending on the parameter values. The theoretical results provide some useful information on the dynamics of the two strains virus. 展开更多
关键词 virus dynamics immune selection delay stability
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