The invention relates to the technical field of active
source surface wave exploration, and particularly discloses a multi-
modal surface wave frequency dispersion curve extraction method and
system, and the method comprises the steps: obtaining a
surface wave seismic
record, carrying out the self-adaptive
signal separation of the
surface wave seismic
record through
Shearlet transformation, and obtaining a first
signal with a primary base-order
signal and a second signal containing a high-order signal; a high-precision linear
Radon transformation inversion model based on multi-term regularization constraint is constructed; solving the inversion model by using an alternating direction
multiplier method to obtain a base-order signal and a high-order signal in the
Radon domain; converting the base-order signal and the high-order signal in the
Radon domain into a frequency-speed domain, and generating a base-order
frequency dispersion energy diagram and a high-order
frequency dispersion energy diagram; according to the method, the anti-
noise performance of high-precision Radon transformation can be improved while high-order
modal frequency dispersion energy is highlighted, and a complex inverse problem under the constraint of multiple regularization terms is decomposed into a plurality of sub-problems easy to solve by adopting an ADMM
algorithm, so that an optimal solution is efficiently obtained.