Abstract Krauklis wave is a special seismic phenomenon in fluid saturated fracture medium. Krauklis wave can prompt a unique resonance effect and make the amplitude enhanced at some special frequencies. These frequencies have quantitative relationship with the fracture geometry parameters and can be used for quantitative interpretation of geometry parameters. Such frequency information can be transmitted to body waves by the transformation between the Krauklis wave and the body wave. Both P- and S-wave become frequency-dependent. In this study, an original numerical method is brought out to solve the equation of the Krauklis wave dispersion relation. The method has fine computational performance, and the frequency band for numerical solution is extended to the megahertz level. The dispersion, resonance and attenuation of the Krauklis wave can be analyzed within the entire frequency range for Krauklis wave existence. What's more, the formation mechanism, the existence and the observability are illuminated. The analysis shows that there are upper limits of frequency and fracture aperture for Krauklis wave existence. But within the frequency band for artificial seismic exploration and micro seismic, the Krauklis wave exists widely. For experimental research, the frequency and fracture aperture should be well designed to ensure the generation of Krauklis wave. The attenuation of Krauklis wave can suppress the resonance effect. The influence of the attenuation should be taken into account, when the Krauklis wave is used for seismic characterization of fracture reservoir or micro seismic monitoring of hydraulic fracturing.