最小二乘逆时偏移(least-squares reverse time migration,LSRTM)具有更高的成像分辨率、振幅保真性及均衡性等优势。然而,目前的LSRTM算法大多基于水平地表假设,在面对复杂地形时无法很好地适应剧烈的起伏地表。基于二阶常密度声波方程...最小二乘逆时偏移(least-squares reverse time migration,LSRTM)具有更高的成像分辨率、振幅保真性及均衡性等优势。然而,目前的LSRTM算法大多基于水平地表假设,在面对复杂地形时无法很好地适应剧烈的起伏地表。基于二阶常密度声波方程的LSRTM算法忽略了密度变化对振幅的影响,很难在变密度介质中取得保真的成像结果。为此,从一阶速度-应力方程出发,在曲线坐标系下推导相应的扰动方程和伴随方程,并通过伴随状态法给出梯度更新公式,最终实现基于贴体网格的起伏地表LSRTM算法。模型试算验证了算法的有效性和对复杂地表的适应性。结果表明,提出的算法能够消除起伏地表的影响、压制低频噪声、恢复高频成分、均衡成像振幅,实现地下变密度介质的高分辨率和高保真度成像。展开更多
Analytical investigation of liquid Reynolds stress in shear bubbly flow with intermediate Reynolds numbers is absent.In this paper, the velocity field around a sphere bubble in linear shear liquid is assumed to be the...Analytical investigation of liquid Reynolds stress in shear bubbly flow with intermediate Reynolds numbers is absent.In this paper, the velocity field around a sphere bubble in linear shear liquid is assumed to be the linear superposition of the velocity field of uniform liquid passing a sphere bubble and the linear shear velocity field.The formula of shear liquid Reynolds stress was derived by averaging the velocity field in the cell-ensemble averaging method, and the formula was corrected under conditions of intermediate Reynolds number.The formula was compared with that of Sato, and the predicted results of local liquid velocity of the fully developed upward bubbly flow in pipes were compared with the experimental data.The results show that the formula is valid and accurate in prediction.展开更多
文摘最小二乘逆时偏移(least-squares reverse time migration,LSRTM)具有更高的成像分辨率、振幅保真性及均衡性等优势。然而,目前的LSRTM算法大多基于水平地表假设,在面对复杂地形时无法很好地适应剧烈的起伏地表。基于二阶常密度声波方程的LSRTM算法忽略了密度变化对振幅的影响,很难在变密度介质中取得保真的成像结果。为此,从一阶速度-应力方程出发,在曲线坐标系下推导相应的扰动方程和伴随方程,并通过伴随状态法给出梯度更新公式,最终实现基于贴体网格的起伏地表LSRTM算法。模型试算验证了算法的有效性和对复杂地表的适应性。结果表明,提出的算法能够消除起伏地表的影响、压制低频噪声、恢复高频成分、均衡成像振幅,实现地下变密度介质的高分辨率和高保真度成像。
文摘Analytical investigation of liquid Reynolds stress in shear bubbly flow with intermediate Reynolds numbers is absent.In this paper, the velocity field around a sphere bubble in linear shear liquid is assumed to be the linear superposition of the velocity field of uniform liquid passing a sphere bubble and the linear shear velocity field.The formula of shear liquid Reynolds stress was derived by averaging the velocity field in the cell-ensemble averaging method, and the formula was corrected under conditions of intermediate Reynolds number.The formula was compared with that of Sato, and the predicted results of local liquid velocity of the fully developed upward bubbly flow in pipes were compared with the experimental data.The results show that the formula is valid and accurate in prediction.
