Stone-pitching is a common method for treating soft muddy foundations in revetments for ports and waterways.However,none of the three domestic calculation methods for the stone-pitching depth considers the influence of water depth,and no relevant research exists abroad.Consequently,estimation or post-construction borehole detection is carried out to decide the stone-pitching depth.To solve this problem,we investigate the calculation theory of the depth of static ballast siltation on land,introduce key parameters such as stone mass,drop height,water depth,and the cohesion and internal friction angle of the soft soil,and build an energy balance equation between the potential energy of the stone and the work done by resistance to calculate the stone-pitching depth.Then we verify the reliability of this method by borehole detection data from a practical project,and analyze effect degree of several energy components and calculation parameters in the formula on the result of stone-pitching depth.The results indicate that the work done by the stone lateral resistance accounts for approximately 70% of the total work,and the resistance work of the lower soil wedge accounts for 25%.Doubling the stone mass or the drop height increases the stone-pitching depth by 26.2% and 23.3%,respectively,while halving the soil's cohesion or internal friction angle increases the stone-pitching depth by about 10%.This calculation method can accurately predict the achievable stone-pitching depth during the design stage,thereby improving the reliability of scheme selection,and can also help optimize construction schemes.