【摘要】 基于Born散射理论 ,推导了适用于常速和变速背景的一维速度反演公式 .与经典的Bleistein逆散射反演公式相比 ,本文考虑了声波在一维有限空间中的传播 ,选取的边界条件更合理 .改进后的公式也揭示了积分道 (对反射系数的积分 )与绝对速度的关系 ,更有实用价值 .更多还原

【Abstract】 In this paper, velocity inversion formula, suitable for both constant and varying velocity background is deduced from the 1D acoustic wave equation, based on Born scattering theory. Compared with classic Bleistein backscattering inversion formula, propagation of acoustic wave in limited space is considered, and more reasonable boundary condition is used in the formula deduced in this paper. Furthermore, the relationship between integral trace and absolute velocity is given in this formula, which has more practical usage.更多还原