Fractal-Constrained Crosshole/Borehole-to-Surface Full-Waveform Inversion for Hydrogeological Applications Using Ground-Penetrating Radar

Full-waveform inversion (FWI) is considered one of the most promising interpretation tools for hydrogeological applications using ground-penetrating radar. However, FWI has had limited practical uptake several reasons: large computational requirements, an inability to reconstruct loss mechanisms soil, and need a good initial starting model. We aim address these issues via novel subject fractally correlated distribution water. Initially, dispersive properties soil are expressed as function water fraction semiempirical This approach means that permittivity, conductivity, relaxation all correlated, therefore, sensitivity problems between permittivity no longer affect performance FWI. Subsequently, constrained follow fractal geometry. Fractal-correlated noise then compressed principal component analysis (PCA) in order further reduce number system’s unknowns accelerate PCA reduces volume dimensions optimization space, thus, initialization necessary. Finally, measurement configuration suggested uses superposition with individual measurements forward models be executed every iteration These enhancements substantially requirements therefore eliminate high-performance computers time-consuming algorithms. The proposed scheme been successfully tested numerical case-studies, which indicates potential this become commercially appealing tool hydrogeology.