Beach deposition is a dynamic process in nature where sand particles are transported, deposited, and accumulated under the influence of waves, tides, wind, and other forces. It is characterized by the synergistic effects of multiple particles, local positive feedback deposition, and periodic perturbation mechanisms. This paper proposes a heuristic optimization algorithm (BDO) based on this mechanism. By simulating the sedimentary layers, multi-layer accumulation, wave-tidal coupled perturbations, and local dune feedback mechanisms of sand particles on the beach, the algorithm effectively balances global search and local convergence. The algorithm introduces novel mechanisms such as the sedimentary layer hierarchy, periodic perturbation functions, and neighborhood attraction functions, enabling it to maintain diversity and convergence in multidimensional continuous optimization problems. The article derives the algorithm's mathematical formulas in detail, describes the sand position updates, sedimentary layer changes, and perturbation mechanisms, and proposes a complete algorithmic workflow.