Statistical analysis of mechanical properties on the example of aggregates of Carpathian sandstones

Joanna Hydzik-Wiśniewska; Łukasz Bednarek

doi:10.2478/sgem-2020-0003

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Statistical analysis of mechanical properties on the example of aggregates of Carpathian sandstones

Studia Geotechnica et Mechanica

Volume 42 (2020): Issue 4 (December 2020)

By: Joanna Hydzik-Wiśniewska and Łukasz Bednarek

Open Access

|Sep 2020

Figures & Tables

A simplified geological and structural map of the Polish Carpathians [5, 16, 23, 30].

Sample before (a) and after (b) fragmentation test.

Sample before (a) and after (b) abrasion test.

Histogram of beta distribution of resistance to fragmentation and abrasion: (a) Magura sandstone, (b) Cergos sandstone, (c) Krosno sandstone and (d) overall.

Function fitting for Magura sandstone: (a) linear, (b) exponential and (c) logarithmic.

Function fitting for Cergos sandstone: (a) linear, (b) exponential and (c) logarithmic.

Function fitting for Krosno sandstone: (a) linear, (b) exponential and (c) logarithmic.

Function fitting for all tested sandstones: (a) linear, (b) exponential and (c) logarithmic.

Regression analysis results: (a) linear, (b) exponential and (c) logarithmic.

Residuals for all tested sandstones: (a) linear, (b) exponential and (c) logarithmic.

Regression statistics_

	Coefficients	R square	Standard error	t Stat	p-value	Lower 95%	Upper 95%
Linear function
Intersection	0.480	0,8129	2.139	0.224	0.822	−3.773	4.733
LA	1.486		0.076	19.444	2.02E-33	1.334	1.638
Exponential function
Intersection	6.634	0,7426	2.246	2.952	0.004	2.168	11.099
exp^(0.034*LA)	12.904		0.814	15.845	2.24E-27	11.285	14.522
Logarithmic function
Intersection	−103.338	0,8161	7.330	−14.097	3.49E-24	−117.908	−88.768
ln(LA)	44.265		2.252	19.649	9.59E-34	39.788	48.743

Physico-mechanical properties of sandstones [12]_

Rock type	Bulk density [Mg/m³]		Absorbability [%]		Dry condition compressive strength [MPa]		Compressive strength after water absorption [MPa]

	min–max	on average	min–max	on average	min–max	on average	min–max	on average
Krosno sandstone	2.31–2.71	2.64	0.25–3.70	1.50	57–178	122	40–153	89
Magura sandstone	2.50–2.69	2.62	0.30–2.47	1.12	91–207	164	59–194	125
Cergos sandstone	2.48–2.77	2.63	0.52–2.94	1.33	115–207	170	94–173	134

Statistical values of LA and MDE coefficients for Carpathian sandstone aggregates_

Value	LA coefficient				M_DE coefficient

	Overall	Magura sandstone	Cergos sandstone	Krosno sandstone	Overall	Magura sandstone	Cergos sandstone	Krosno sandstone
Average	26.69	24.54	23.67	41.32	40.15	35.53	37.36	62.95
Minimum	14.00	14.00	20.00	24.30	20.00	20.00	30.00	35.20
Maximum	56.00	37.10	28.60	56.00	84.20	58.50	47.00	84.20
Standard deviation	8.47	6.38	2.83	9.08	13.97	11.39	4.67	15.15
Median	24.30	23.35	23.10	41.00	38.10	35.15	37.40	66.00
Coefficient of variation	31.76	26.01	11.96	21.99	34.80	32.04	12.50	24.07

References

Authors

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Articles in this issue

DOI: https://doi.org/10.2478/sgem-2020-0003 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365

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Language: English

Page range: 366 - 375

Submitted on: Feb 28, 2020

Accepted on: Aug 17, 2020

Published on: Sep 24, 2020

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

aggregates,

Los Angeles coefficient,

Micro-Deval coefficient

Related subjects:

Physics,

Mechanics and fluid dynamics

© 2020 Joanna Hydzik-Wiśniewska, Łukasz Bednarek, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 42 (2020): Issue 4 (December 2020)

Statistical analysis of mechanical properties on the example of aggregates of Carpathian sandstones

Figures & Tables

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

Figure 10

Figure 11

Figure 12

Regression statistics_

Physico-mechanical properties of sandstones [12]_

Statistical values of LA and MDE coefficients for Carpathian sandstone aggregates_

Paradigm

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