Rayleigh and body waves are both solutions of the same propagation equation, but correspond to different wavenumber regions and boundary conditions, so their interaction with the elastic parameters (Vp, Vs and density) provides independent constraints during inversion. We develop and illustrate concurrent, elastic, full-waveform inversion of P and S body- and Rayleigh-waves using interleaved envelope- and waveform-based misfit functions, in a gradually-increasing frequency, multi-scale, inversion strategy. A wavelet and its envelope have different effective bandwidths, spectral shapes, and provide complementary frequency and wavenumber weighting in concurrent inversion. Because of the greater depth extent sampled by the exponentially decaying tail of a Rayleigh wave, compared to a body waveform, the depth extent of the model required to support both body and surface waves in concurrent inversion is defined by the Rayleigh waves. Correlation coefficients provide quantitative measures of the contributions of the data subsets to the fits of the solutions. For both smooth and constant starting models, concurrent interleaved inversion gives smaller data misfits than the envelope-only and waveform-only solutions. Treating the whole wavefield as a single data set means that it is not necessary to separate, or even to identify, different types of body and surface waves.

瑞利波和体波都是同一传播方程的解，但对应不同的波数区域和边界条件，因此它们与弹性参数（Vp、Vs和密度）的相互作用在反演过程中提供了独立的约束。我们使用基于交错包络和波形的失配函数，以逐渐增加的频率、多尺度反演策略，开发并说明了 P 波和 S 体波和瑞利波的并发、弹性、全波形反演。小波及其包络具有不同的有效带宽、谱形状，并在并发反演中提供互补的频率和波数加权。由于与身体波形相比，瑞利波的指数衰减尾部采样的深度范围更大，在并发反演中支持体波和面波所需的模型深度范围由瑞利波定义。相关系数提供了数据子集对解决方案拟合的贡献的定量度量。对于平滑和恒定的启动模型，并发交错反演比仅包络和仅波形解决方案提供更小的数据失配。将整个波场视为单个数据集意味着无需分离甚至识别不同类型的体波和表面波。与仅包络和仅波形解决方案相比，并发交错反演可提供更小的数据失配。将整个波场视为单个数据集意味着无需分离甚至识别不同类型的体波和表面波。与仅包络和仅波形解决方案相比，并发交错反演可提供更小的数据失配。将整个波场视为单个数据集意味着无需分离甚至识别不同类型的体波和表面波。