Bearing Capacity of Karst Cave Roof under Pile Foundation Load Using Limit Analysis

Reducing the computational workload by simplifying the analysis of karst foundations into a plane strain problem can yield significant advantages. Yet, such an approach fails in reproducing the engineering situation in a rigorous manner. In this regard, this paper proposes an upper-bound method that can effectively analyze the bearing capacity of three-dimensional karst foundations. This method is utilized to investigate the impact of various pile diameters, the ratio of roof thickness to pile diameter, and the ratio of cave width to pile diameter on the stability of karst foundations. The validity of this method is established through an illustrative example. The outcomes illustrate that when subjected to both tensile and compressive horizontal stresses if the maximum horizontal stress surpasses the tensile strength of the rock mass, the roof rock mass may suffer damage. Increasing the ratio of roof thickness to pile diameter can bring down the horizontal stress value. The stability factor is largely influenced by the ratio of roof thickness to pile diameter. The most prominent growth trend of the stability factor is observed when the ratio is less than 3. If the ratio of the roof thickness to pile diameter exceeds 3, the prediction of the bearing capacity estimation for the karst foundation in three-dimensional circumstances is more conservative than that in two-dimensional circumstances.

[1]  Ze Li,et al.  Slope Failure Risk Assessment Considering Both the Randomness of Groundwater Level and Soil Shear Strength Parameters , 2023, Sustainability.

[2]  Shaokun Ma,et al.  Study on a Quantitative Indicator for Surface Stability Evaluation of Limestone Strata with a Shallowly Buried Spherical Karst Cave , 2022, Mathematics.

[3]  Q. Fan,et al.  Physical Model Test on the Influence of Karst Cave under and in front of Pile on the Stability of Embedded End of Antislide Pile , 2022, Mathematical Problems in Engineering.

[4]  S. Keawsawasvong,et al.  Stability of Spherical Cavity in Hoek–Brown Rock Mass , 2022, Rock Mechanics and Rock Engineering.

[5]  Q. Fan,et al.  Influence of Karst Caves on the Pile’s Bearing Characteristics-A Numerical Study , 2022, Frontiers in Earth Science.

[6]  Yuan Wei,et al.  Calculation Method for the Critical Thickness of a Karst Cave Roof at the Bottom of a Socketed Pile , 2021, Advances in Materials Science and Engineering.

[7]  Shaokun Ma,et al.  The bearing capacity analysis of limestone strata roof containing a shallow-buried cylinder Karst cave , 2021, Mechanics of Advanced Materials and Structures.

[8]  Zhongju Feng,et al.  Study on the vertical bearing performance of pile across cave and sensitivity of three parameters , 2021, Scientific Reports.

[9]  S. Du,et al.  Element Failure Probability of Soil Slope under Consideration of Random Groundwater Level , 2021, International Journal of Geomechanics.

[10]  A. Antão,et al.  Lower and upper bound limit analysis via the alternating direction method of multipliers , 2020 .

[11]  J. Meng,et al.  Three-dimensional upper bound limit analysis of underground cavities using nonlinear Baker failure criterion , 2020 .

[12]  Yunxiu Dong,et al.  Study on the Influence of Karst Size on the Vertical Bearing Capacity of Pile Foundation , 2020, IOP Conference Series: Materials Science and Engineering.

[13]  Puyang Zhang,et al.  Influence of Karst Caves at Pile Side on the Bearing Capacity of Super-Long Pile Foundation , 2020 .

[14]  J. Robles,et al.  Influence of Natural Cavities on the Design of Shallow Foundations , 2020, Applied Sciences.

[15]  Scott W. Sloan,et al.  Upper bound limit analysis using linear finite elements and non‐linear programming , 2001 .

[16]  Cuihua Li,et al.  Upper Bound Limit Analysis of Anisotropic Soils , 2020, Computers, Materials & Continua.

[17]  L. Liang,et al.  Upper bound punching failure analysis of circular foundation overlying a cave in Karst area based on the Hoek?Brown failure criterion , 2020 .

[18]  Zi-Hang Dai,et al.  Numerical analysis of stability of highway embankments and karst cave roofs in karst region , 2014 .

[19]  Zhang Ke-neng,et al.  Finite element analysis of ultimate bearing capacity of strip footing above Karst cave , 2005 .