Numerical modelling of slumps under highways located on a mining damage area, based on experimental measurements

Figures & data

Fig. 1 Location of the measurement elements along the section of the straight route.

Fig. 2 Diagram of the string displacements and measurement location.

Fig. 3 The actual measurement system, taken when it was being fixed along the highway route (photograph taken by Neostrain Company).

Fig. 4 Analysis of a single string.

Fig. 5 Results summary for regularly distributed nodes.

Table 1 Results summary for regularly distributed nodes.

Case
I(lin, max )	0.5345	0.8552	0.9621	7.4833	0.0286
II(nlin, max )	0.5421	0.8599	0.9647	7.5373	0.0294
III(lin, min )	0.4988	0.8640	0.9976	7.4462	0.0268
IV(nlin, min )	0.5014	0.8693	1.0043	7.4915	0.0271

Fig. 6 Results summary for irregularly distributed nodes.

Table 2 Results summary for regularly distributed nodes.

Case
I(lin, max )	0.72747	0.90934	0.94302	0.86219	0.29638	7.4299	0.029038
II(nlin, max )	0.73378	0.19329	0.94643	0.86707	0.30331	7.4746	0.030050
III(lin, min )	0.72394	0.92650	0.96185	0.86616	0.24003	7.3775	0.026098
IV(nlin, min )	0.72782	0.93204	0.96814	0.87181	0.24148	7.4225	0.026420

Fig. 7 Distribution of the string displacements for adopted parabolic shape.

Fig. 8 Straight route - Highway #1    Curved route – Highway #2.

Fig. 9 Detailed results for Highway #1 – displacement configuration with one slump.

Fig. 10 Final results for Highway #1 – displacement configuration with one slump.

Fig. 11 Final results for Highway #1 – displacement configuration with two slumps.

Fig. 12 Final results for Highway #1 – displacement configuration with four slumps.

Fig. 13 Final results for Highway #2 – displacement configuration with one slump.

Fig. 14 Final results for Highway #2 – displacement configuration with three slumps.

Fig. 15 Summary of the iteration procedure – Highway #1 – configuration with two slumps.

Fig. 16 Exact solution (upper left and lower left graph), the simplified solution (upper middle graph), the rigorous solution (lower middle graph), the simplified solution error (upper right graph) and a rigorous solution error (bottom right graph) – Highway #1 – configuration with two slumps.

Fig. 17 Comparison of the string end displacements for three solutions: exact, simplified and rigorous ones, as well as appropriate errors of the numerical solutions.