Abstract:
The parabolic model is widely used in the field of coastal erosion protection, but its coefficients are expressed in various forms and the values of parameters are different, which bring a lot of inconvenience to the application of engineering practice home and abroad. In this paper, based on the existing problems of the parabolic model, the coefficient formulas of the parabolic model are re-determined based on the data of 36 typical static point bay beaches in China's coastal areas, and the BayBeach software, which can quickly calculate the stable shoreline of the beaches, is developed in many applications to optimize the parabolic model in the field of coastal engineering. It is found that three coefficients
C0,
C1 and
C2 in the parabolic model equation are closely related to the incident wave inclination angle
β. When
β is <40π/180, the coefficients of
C0,
C1 and
C2 basically remain unchanged with the change of
β. After that, the coefficients of
C0 and
C2 decrease with the increase of
β, and the coefficients of
C1 increase with the increase of
β. The optimized coefficients of the parabolic model in the present study have a better applicability in the domestic headland bays and coasts, and the optimized coefficient formulas of the parabolic model have a better applicability. The stabilized shoreline calculated based on the optimized coefficient formula matches well with the actual shoreline of the satellite image. For the beaches of large tidal range in Cape Bay, the downstream control point should be selected on the high tide line of the beach when calculating the stabilized shoreline. The BayBeach software was developed to enable the determination of the end position of the wave-retardant sand barriers by adjusting the headland position. The optimized parabolic model coefficients and the BayBeach software developed in this paper can be used in coastal erosion protection and beach maintenance engineering practice, which is of great significance for accurately analyzing the impact of engineering construction on sandy coasts.