A necessary big step up in the modern water wave theories and their widespread application in ocean engineering is how to obtain 6-wave resonance conditions and to prove it. In the light of the existing forms and char...A necessary big step up in the modern water wave theories and their widespread application in ocean engineering is how to obtain 6-wave resonance conditions and to prove it. In the light of the existing forms and characteristics of 3-wave, 4-wave and 5-wave resonance conditions, the 6-wave resonance conditions are proposed and proved for currently a maximum wave-wave resonance interactions of the ocean surface gravity waves in deep water, which will be indispensable to both the Kolmogorov spectrum of the corresponding universal wave turbulence and a synthetic 4-5-6-wave resonant model for the ocean surface gravity waves.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11772180)the State Key Laboratory of Ocean Engineering of China(Grant No.1503)
文摘A necessary big step up in the modern water wave theories and their widespread application in ocean engineering is how to obtain 6-wave resonance conditions and to prove it. In the light of the existing forms and characteristics of 3-wave, 4-wave and 5-wave resonance conditions, the 6-wave resonance conditions are proposed and proved for currently a maximum wave-wave resonance interactions of the ocean surface gravity waves in deep water, which will be indispensable to both the Kolmogorov spectrum of the corresponding universal wave turbulence and a synthetic 4-5-6-wave resonant model for the ocean surface gravity waves.
文摘分析了碎屑结构煤系地层岩体变形破坏的岩体力学特征及断裂带导水机理,认为岩体体积扩容是工作面顶板破坏内导水性增强、形成导水断裂带的根本原因.应用FLAC3D模拟分析了连续介质、大变形条件下急倾斜特厚煤层开采引起的覆岩体积应变分区特征,分为连续介质条件下的内部塑性破坏-压缩区、扩容区及外部弹性压缩区.依据垮落带形成过程中的体积变化特征,将连续介质条件下获得的内部塑性破坏-压缩区划为垮落带;扩容区划为断裂带;以分隔扩容区与外部弹性压缩区的体积应变0等值线最大高度确定防水煤柱高度.此方法应用于开滦赵各庄2137急倾斜特厚煤层开采工作面,确定上部防水煤柱高度为63.8 m.