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.