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Abstract

Among the collections of the Saxon State and University Library Dresden (SLUB – Sächsische Landesbibliothek– Staats- und Universitätsbibliothek Dresden) there are two handdrawn maps of the Kamieniec Podolski stronghold, so far unpublished in Poland, one by Johann Georg Starcke, and the other by J. G. M. Fürstenhoff.
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Authors and Affiliations

Leszek Opyrchał
Aleksandra Bąk
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Abstract

W zbiorach Państwowej Uniwersyteckiej Biblioteki Saksońskiej w Dreźnie (SLUB – Sächsische Landesbibliothek – Staats- und Universitätsbibliothek Dresden) znajdują się dwa rękopiśmienne, dotychczas niepublikowane w Polsce plany Kamieńca Podolskiego: pierwszy sporządził Johann Georg Starcke, drugi wykonał J. G. M. Fürstenhoff.
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Authors and Affiliations

Leszek Opyrchał
Aleksandra Bąk
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Abstract

The well-known Manning formula is usually used for the calculation of the calculative volumetric flow rate in a river or open canal. The discharge depends on the geometry of the channel, i.e. the water area, the wetted perimeter and the slope, as well as on the roughness coefficients. All these quantities are determined with some uncertainty. The article proposes a methodology for calculating the uncertainty of the roughness coefficients of the riverbed and the floodplain as well as the uncertainty of the geometric dimensions of the riverbed. Then, the method of calculating the uncertainty of the calculative discharge is then given. If these uncertainties are taken into consideration in the process of discharge calculation, then, as has been demonstrated for a hypothetical river channel, the ratio of the uncertainty to the calculated value of the discharge will change from several dozen percent in case of small flows to about ten percent in case of big, flood flows. It has also been shown that the uncertainty of the roughness coefficients has the biggest influence on the uncertainty of the flow rate. The presented calculations show that in order to take into account the influence of uncertainty of linear dimensions and roughness coefficients, the engineer designing the riverbed should assume for the calculations the flow rate increased by 10% then design flow. The obtained results can be used for homogeneous flows only, which is usually assumed in practical engineering calculations.
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Authors and Affiliations

Leszek Oprychał
1
ORCID: ORCID
Aleksandra Bąk
1
ORCID: ORCID

  1. Military University of Technology, Department of Civil Engineering and Geodesy, ul. gen. Sylwestra Kaliskiego 2, 00 -908 Warsaw, Poland
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Abstract

The article discusses a new mathematical method for comparing the consistency of two particle size distribution curves. The proposed method was based on the concept of the distance between two graining curves. In order to investigate whether the distances between the particle size distribution curves are statistically significant, it was proposed to use the statistical test modulus-chi. As an example, the compliance of three sieve curves taken from the earth dam in Pieczyska on the Brda River in Poland was examined. In this way, it was established from which point of the dam the soil was washed away. However, it should be remembered that the size of the soil grains built into the dam does not have to be identical to the grain size of the washed out soil, because the fine fractions will be washed away first, while the larger ones may remain in the body of the earth structure.
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Bibliography

[1] J. Guevara, “Review of particle size distribution analysis methods”, 2018. University of Florida Soil and Water Sciences Department. [Online], Available: https://soils.ifas.ufl.edu/media/soilsifasufledu/sws-mainsite/pdf/technical-papers/Guevara_Jorge_One_Year_Embargo.pdf [Accessed: 28.04.2021].
[2] S. Blott, K. Pye, “GRADISTAT: A grain size distribution and statistics package for the analysis of unconsolidated sediments”, Earth Surface Processes and Landforms, 2001, vol. 26, pp. 1237–1248, DOI: 10.1002/esp.261.
[3] P. Guilherme, C. Borzone, M. Bueno, M. Lamour, “Análise granulométrica de sedimentos de praias arenosas através de imagens digitais. Descrição de um protocolo de mensuração de partículas no software ImageJ – Fiji”, Brazilian Journal of Aquatic Sciences and Technology, 2015, vol. 19 (2), pp. 1–10, DOI: 10.14210/ bjast.v19n2.6874.
[4] H. Alkhaldi, C. Ergenzinger, F. Fleißner, P. Eberhard, “Comparison between two different mesh descriptions used for simulation of sieving processes”, Granular Matter, 2008, vol. 10, pp. 223–229, DOI: 10.1007/s10035-008-0084-4.
[5] J. Fernlund, R. Zimmerman, D. Kragic, “Influence of volume/mass on grain-size curves and conversion of image-analysis size to sieve size”, Engineering Geology, 2007, vol. 90, pp. 124–137, DOI: 10.1016/j.enggeo.2006.12.007.
[6] W. Weipeng, L. Jianli, Z. Bingzi, Z. Jiabao, L. Xiaopeng, Y. Yifan, “Critical Evaluation of Particle Size Distribution Models Using Soil Data Obtained with a Laser Diffraction Method”, PLoS ONE, 2015, vol. 10(4): e0125048, DOI: 10.1371/journal.pone.0125048.
[7] G.L. Santana, C.T. Brasileiro, G.A. Azeredo, H.C. Ferreira, G.A. Neves, H.S. Ferreira, “A comparative study of particle size distribution using analysis of variance for sedimentation and laser diffraction methods”, Cerâmica, 2019, vol. 65(375), pp. 452–460, DOI: 10.1590/0366-69132019653752623.
[8] S. Brandt, Data Analysis. Statistical and Computational Methods for Scientists and Engineers. Cham: Springer, 2014, ISBN 978-3-319-03761-5, DOI: 10.1007/978-3-319-03762-2.
[9] L. Opyrchał, “Applying the chi-modulus distribution to test the consistency of measurements”, Metrology and Measurement Systems, 1999, vol. 6, no. 3, pp. 135–142.
[10] A. Bak, R. Chmielewski, “The influence of fine fractions content in non-cohesive soils on their compactibility and the CBR value”, Journal of Civil Engineering and Management, 2019, vol. 25, no. 4, DOI: 10.3846/jcem.2019.9687.
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Authors and Affiliations

Leszek Opyrchał
1
ORCID: ORCID
Ryszard Chmielewski
1
ORCID: ORCID
Aleksandra Bąk
1
ORCID: ORCID

  1. Military University of Technology, Faculty of Civil Engineering and Geodesy, ul. gen. Sylwestra Kaliskiego 2, 00–908 Warsaw, Poland

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