Multi-scale seismic full-waveform inversion method based on local adaptive convexification method

The invention relates to a multi-scale seismic full-waveform inversion method based on a local adaptive convexification method. The method comprises steps: pre-processing is carried out, a zero value sequence serves as an initial value, and an initial speed model serves as a starting value; direct wave information is intercepted; forward modeling direct waves are obtained; an objective function inverted by a seismic source function is built; a direct wave residual and a direct wave residual back propagation wave field are obtained; an updating gradient and an updating direction of the seismic source function are calculated, and a step length is searched; the high-precision seismic source function obtained through inversion is outputted; attenuation time window processing is carried out; seismic data in the time window are simulated; local convexification processing and separation processing are carried out; a high-frequency component in an observation record is removed; a least square objective function is built, and a wave field residual is obtained; a residual back propagation wave field of the model space is obtained; the model updated gradient is obtained; the model updated direction is calculated, and the step length is searched; a multi-scale seismic full-waveform inversion result is outputted; and a final inversion result is outputted. The method is widely applied in the technical field of seismic exploration.