The invention relates to an elastic wave
full waveform inversion method based on an optimal
transmission function, and belongs to the field of
seismic velocity modeling. The method comprises the following steps: firstly, establishing an
observation system, selecting an excitation source with a certain frequency and a speed model, and receiving an actual seismic
record and a simulated seismic
record through the excitation source; secondly, introducing an optimal
transmission function as a target function of inversion, and establishing a target functional formula; a timing
wave field and a
reverse time wave field are obtained through forward modeling and
reverse time continuation, derivation is carried out on a target functional formula to obtain a gradient calculation formula, the gradient calculation formula is substituted into the timing
wave field and the
reverse time wave field, and the gradient is obtained. And optimizing the obtained gradient by using an Adam gradient optimization
algorithm, and substituting the optimized gradient into iterative inversion to update the model. And repeating the steps until an inversion result meeting the precision requirement is obtained. Model experiments show that compared with a traditional L2 objective function, the method has the advantages that the event continuity of the inversion model is enhanced, the
deep structure is clearer, and the overall precision is greatly improved.