当前的全波形反演建立在数据空间，其在实际地震数据中的应用受到初始模型精度以及多种波现象混杂等因素的制约。基于模型空间反演能够改善目标泛函凸性的特点，在声介质常密度假设下，开展基于角度域共成像点道集(ADCIG)的反演理论方法研究。ADCIG中包含两个层次的信息：一是道集中的局部波形，二是道集的“弯曲-拉平”特征。前者用以进行角度域扩展模型的最小二乘反演成像；后者用以反演宏观背景速度。在模型空间，基于ADCIG，建立分别考察成像结果和模型参数的角度道集上的误差泛函公式，并以此为基础开展相关反演流程的研究。同时，进行基于ADCIG的波场正演方法的研究，提出基于ADCIG的模型空间和数据空间的联合反演策略。最终，形成一套完整的模型空间地震波反演成像理论，为油气地震勘探提供有效的波形反演成像方法和技术。

The current Full Waveform Inversion (FWI) is established in the data space, its application on real seismic data is restricted by many factors like the precision of initial model and mixing of multi-waveform. Considering that the inversion in model space can improve the convexity of misfit function, this project will study the inversion theory based on the Angle-Domain Common-Image-Gathers (ADCIG) under the assumption of constant density acoustic media. There are two levels information of ADCIG: one is the local waveform of each trace, another is the “bending-flattening” features of gathers. The former can be used to perform the Least-Squares inversion imaging based on the extended model in angle domain. And the background model parameters can be inverted by the latter one. In the model space, based on the ADCIG, the misfit functions will be proposed which investigate the imaging result and the model parameters separately. Based on the function, we will study the related inversion processes. Simultaneously, we will develop the wavefield modeling methods based on ADCIG. Using this modeling method, a joint inversion scheme can be proposed in both model space and data space based on ADCIG. At last, a complete seismic wave inversion theory in model domain is expected to be formed. This planed project will provide effective waveform inversion methods and techniques for oil/gas exploration.