基于粘滞性声波方程的吸收补偿方法

The absorption compensation research based on viscolasti acoustic wave equation

通常地层介质都是粘滞性的,由于地层的吸收作用,地震波在向下传播过程中能量被衰减,特别是高频能量的衰减,使反射信号频带宽度变窄。为了补偿被吸收的能量,笔者采用粘滞声波方程波场延拓方法进行能量吸收和衰减补偿。首先,从粘滞性波动方程波场延拓函数理论出发,推导了波场延拓函数稳定性条件;其次,对其有效性进行了测试和分析;最后,通过设计数值模型进行正演模拟对比试验,证明了基于粘滞性声波方程的吸收补偿方法能够很好地对粘性介质吸收衰减进行能量补偿,改善处理效果。

Generally, the layer medium are viscous .Due to absorption affect, seismic wave energy ,especially high-frequency energy be absorbed and attenuated in downward propagation, reflection wave signal frequency bands be narrowed. For compensated those ab-sorbed energy , the paper , adopt viscosity wave equation wave field continuation method, used to carry out energy compensation re-searching, and obtained better effect . At first , the paper from viscosity wave equation wave field continuation function theory , derived wave field continuation function stability condition ;Secondly,author test the method availability;Finally , through forward simulation test , proved absorption and compensation method based on viscosity wave equation can carry on very well compensation of energy at-tenuation, improved processing effect.