基于波动理论的储层弹性参数反演及多尺度表征

Full Waveform Inversion (FWI) is one of key techniques for quantitative seismic imaging. However, it's always be applied in velocity building for migration, because of the frequency gap of reflected seismic waves observed near surface. Based on wave theory in elastic medium, we build multi-scale inversion mathematical model in order to reservoir detection and study some key factor. Firstly, based on the seismic wave equation in elastic medium, we design high precise differential operator in order to research the discipline of wave propagation; secondly, we research multi-scale objective functions including envelope, multi-scale frequency band and model driven constraints. Finally, based on rock physics, we analyze the relation between elastic parameters and reservoir parameters and research methods of reservoir detection. Combing FWI in elastic medium and multi-scale inversion overcomes the limits of the former method, i.e.: the conventional FWI can only be used for velocity modeling in seismic imaging. Studying the three basic parameters obtained from FWI with a subsequent reservoir characterization, builds methods for reservoir prediction based on a mathematical convolution model.

地震全波形反演是高精度地震定量成像发展的关键技术之一，然而囿于表层采集的反射地震数据存在低频带陷的局限性，导致其目前只能用于地震成像的速度建模。项目基于弹性介质波动理论，研究以储层为目标建立的多尺度反问题最优化方法，并对其中关键因素进行研究。首先从弹性波动方程出发，设计高精度微分算子研究地震波场传播机理；其次针对不同尺度波长分量数据，研究包络、多频段及模型驱动约束的多尺度误差泛函优化的全波形反演方法，逐步修正地下介质模型；然后通过岩石物理，分析弹性参数与储层参数的关系与规律，进行储层检测的方法。弹性介质全波形反演和多尺度反演的结合，减弱数据低频带陷的影响，突破常规全波形反演只用于地震成像速度建模的局限性。本研究在全波形反演获取的三参数基础上进行储层表征，建立基于非褶积数学模型的储层解释方法。

地震全波形反演是高精度地震定量成像发展的关键技术之一，然而囿于表层采集的反射地震数据存在低频带陷的局限性，导致其目前只能用于地震成像的速度建模。项目基于弹性介质波动理论，研究以储层为目标建立的多尺度反问题最优化方法，并对其中关键因素进行研究。首先从弹性波动方程出发，设计高精度微分算子研究地震波场传播机理;其次针对不同尺度波长分量数据，研究包络、多频段及模型驱动约束的多尺度误差泛函优化的全波形反演方法，逐步修正地下介质模型;然后通过岩石物理，分析弹性参数与储层参数的关系与规律，进行储层检测的方法。弹性介质全波形反演和多尺度反演的结合，减弱数据低频带陷的影响，突破常规全波形反演只用于地震成像速度建模的局限性。本研究在全波形反演获取的三参数基础上进行储层表征，建立基于非褶积数学模型的储层解释方法。