2021
DOI: 10.1007/s00603-021-02664-z
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Prediction of Longwall Progressive Subsidence Basin Using the Gompertz Time Function

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Cited by 10 publications
(10 citation statements)
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“…When b is taken as 2, with the increase of a , the slope of the time function curve in the initial period is faster, the time taken for the function value to reach the convergence value 1 is shorter, and when combined with the theory of mining subsidence, it can be seen that the ground point ends the moment of mobile deformation earlier . When a takes 0.05, it is found that the parameter b only controls the path of movement of the function curve and the time used for the function value to reach the final convergence value is basically unchanged, and the larger the parameter b , the later the deformation point reaches the maximum sinking speed …”
Section: Improved Dynamic Prediction Functionmentioning
confidence: 99%
See 3 more Smart Citations
“…When b is taken as 2, with the increase of a , the slope of the time function curve in the initial period is faster, the time taken for the function value to reach the convergence value 1 is shorter, and when combined with the theory of mining subsidence, it can be seen that the ground point ends the moment of mobile deformation earlier . When a takes 0.05, it is found that the parameter b only controls the path of movement of the function curve and the time used for the function value to reach the final convergence value is basically unchanged, and the larger the parameter b , the later the deformation point reaches the maximum sinking speed …”
Section: Improved Dynamic Prediction Functionmentioning
confidence: 99%
“…The time function is time as the independent variable of the dimensionless function; the value of the domain can traverse the [0,1] interval, and it controls the function of the curve shape and change characteristics through the relevant parameters . If the time function is used, φ­( t ), the maximum deformation value at a point of the pit is S max , the settlement at that point at a certain time is the product of and, obviously, determines the convergence value of the settlement curve but cannot affect the trend of the settlement curve . In this paper, the Adjusted-Logistic time function model is established on the basis of the two parameters of the Logistic time function model, and the parameter a, which adjusts the symmetry of the function curve, is introduced, and the model expression is where S max is the maximum settlement value of the surface; a , b , and c denote the time influence parameters related to the overburden lithology; and t is the time parameter in days.…”
Section: Improved Dynamic Prediction Functionmentioning
confidence: 99%
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“…Zhang et al established an improved Knothe time function model, which accurately predicted surface subsidence caused by underground mining [12] . Wang et al identified the defects in the improved Knothe time function and provided a more accurate dynamic prediction model of mining surface deformation [13] . Marian et al used the influence function method to predict the degree of mining-induced subsidence [14] .…”
Section: Introductionmentioning
confidence: 99%