Application of limit plasticity to the stability of sinkholes

Drumm, Eric C.; Kane, William F.; Yoon, Chun-Joo

doi:10.1016/0013-7952(90)90051-2

Cited by 28 publications

(7 citation statements)

References 4 publications

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“…1996). However, Drumm et al (1990) utilised the theory of plasticity with an associated flow rule to obtain the directional failure path of soil at failure. The orientation of the slip surface was controlled by the material strength, overburden thickness and cavity diameter.…”

Section: Dolomite Subsidence Studymentioning

confidence: 99%

Analytical Study of Dolomite Sinkholes in Centurion, South Africa

Avutia¹,

Kalumba²

2014

Soil Behavior and Geomechanics

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Karst landscapes cover 15% of the earth's topography with an estimated 1.5 billion inhabitants residing on the land. Therefore restricting land uses and preventing infrastructure developments on dolomite land may be deemed highly impractical. As a result, infrastructure restrictions in karst areas have encouraged geotechnical professionals into developing geological models to simulate the magnitude of catastrophic subsidence experienced due to dolomite sinkholes. Sinkholes in dolomite are triggered by the alteration of the existing groundwater level within the karstic strata. In this study, the appraisal of sinkhole propagation was facilitated with the geological data acquired along the Gautrain route through Centurion, South Africa. This paper presents the conceptualized 'angle of draw' of dolomite overburden layers into cavities, with Terzaghi's arching in soil equation. The analytical results illustrated constant vertical drawdown in the weathered altered dolomite (WAD) and incremental cavity propagation in the frictional chert residuum. The sinkhole propagation results replicated previous physical modelling and empirical findings. This idealized analogy of sinkhole propagation compliments the quantitative assessment of empirical data, limit analysis and expert judgement applied to estimate dolomite sinkhole hazards.

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Section: Dolomite Subsidence Studymentioning

confidence: 99%

Analytical Study of Dolomite Sinkholes in Centurion, South Africa

Avutia¹,

Kalumba²

2014

Soil Behavior and Geomechanics

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“…Modelling techniques developed for sinkholes in unfrozen sediments (Drumm et al, 1990) and empirical studies of artificial excavations and mining in permafrost (Weerdenburg and Morgenstern, 1983;Huang and Speck, 1989) provide insight into the mechanics and specific rates of closure, but may be difficult to generalize to natural cavities in permafrost. A simpler approach, introduced below, is to classify cavities on the basis of possible boundary conditions and to evaluate the relative stability of these classes.…”

Section: Cavity Closurementioning

confidence: 99%

Cavity development in ice‐rich permafrost, Pangnirtung, Baffin Island, northwest territories

Hyatt

1992

Permafrost & Periglacial

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Cavity development in ice‐rich permafrost at Pangnirtung followed a large rainstorm and runoff event in 1984. The cavities evolved along permeable zones in sediments containing segregated ice lenses. Cavities promoted subsurface flow and incremental collapse of the ground surface. Once formed, cavities remained relatively stable where they were free to drain, and where the enclosing ground remained frozen and rigid support was provided. Some cavities closed by infilling with sediment or freezing water, or by deformation of the surrounding frozen ground. Other cavities were enlarged by thermo‐erosional piping, a process involving both thermal and mechanical erosion of frozen ground together with sufficiently rapid throughflow to prevent refreezing. A classification of cavities in permafrost permits qualitative appraisal of their stability with respect to the depth of zero annual temperature change and the degree of natural arching support. Assessment based on elastic plate theory indicates that seasonal temperature changes are important factors in destabilizing near‐surface cavities.

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“…This can be regarded as a crucial value for doline development. Material loss from the cover can be dissolution (therefore, in case of calcareous cover, the water may reach the bedrock in saturated state), suffosion [3,4,29], solifluction [8,38,39], collapse [4,29], and grain fall [11]. According to model experiments [40], the material rearrangement in the cover can be vertical and with horizontal suffosion, which is followed by compaction.…”

Section: Introductionmentioning

confidence: 99%

Development Environments and Factors of Subsidence Dolines

Veress

2021

Geosciences

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This study describes the development environments of subsidence dolines based on literary data (development environments create favorable conditions for the local denudation of superficial deposit and thus, for the development of depressions). Development environments are the inclination of the bearing surface, the secondary porosity of the bedrock, the characteristics of the cover, water influx into the cover, karstwater and groundwater, melting permafrost, and anthropogenic activity. These may become optimal when controlled by various geological, geomorphological, and climatic factors. Development environments may be qualitative (there is doline development in case of its presence) and quantitative (doline development occurs in case of suitable quantitative values). The development environment groups of subsidence dolines are environment groups independent of water level, environment groups dependent on water level, and anthropogenic environment groups. In the case of an environment group independent of water level, surface morphology, cover characteristics, geomorphic evolution, and water supply are determining, while in case of an environment group dependent of water level, subsurface water level and its fluctuations and the characteristics of rainfalls interrupting dry seasons are crucial. Anthropogenic impacts mainly affect doline development through water balance.

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Application of limit plasticity to the stability of sinkholes

Cited by 28 publications

References 4 publications

Analytical Study of Dolomite Sinkholes in Centurion, South Africa

Analytical Study of Dolomite Sinkholes in Centurion, South Africa

Cavity development in ice‐rich permafrost, Pangnirtung, Baffin Island, northwest territories

Development Environments and Factors of Subsidence Dolines

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