Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings Deposits
The pore ratio is an important parameter affecting the stability and safety of tailings reservoirs; however, the relationship between the pore ratio and physical properties of tailings sand has not been researched in-depth. In this paper, using the tailings from a tungsten mine in southern Shaanxi a...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2021/9193732 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561573114150912 |
|---|---|
| author | Hao Li Yichuan Tang Shibo Li Jianquan Ma Xiaojie Zhao |
| author_facet | Hao Li Yichuan Tang Shibo Li Jianquan Ma Xiaojie Zhao |
| author_sort | Hao Li |
| collection | DOAJ |
| description | The pore ratio is an important parameter affecting the stability and safety of tailings reservoirs; however, the relationship between the pore ratio and physical properties of tailings sand has not been researched in-depth. In this paper, using the tailings from a tungsten mine in southern Shaanxi as a case study, the correlation between the minimum void ratio and related parameters is analyzed, based on laboratory test data, and the optimal marginal distribution function of the parameters is determined. The Gumbel-Hougard copula function that best describes the correlation between parameters is identified, and it is used to establish the joint probability distribution model of the three parameters, and the guarantee rate α is introduced to estimate and analyze the minimum void ratio. The results show that the optimal edge distribution of the fine particle content and specific gravity follows a truncated normal distribution, and the optimal edge distribution of the minimum void ratio follows a logarithmic normal distribution. According to AIC criterion, the Gumbel-Hougard copula is the best three-dimensional copula function to fit the minimum void ratio and related parameters. When the guarantee rate α is 0.485, the joint probability distribution model achieves optimal performance in terms of estimating the minimum void ratio. The maximum error of the estimation is 1.99%, which is verified through data, and the estimation meets the requirements for practical engineering. The method proposed in this paper uses the existing measured data to establish a joint probability distribution model and combines the collected fine particle content and specific gravity data with the guarantee rate to estimate the minimum void ratio, providing a novel basis for the study of the physical properties of tailings. |
| format | Article |
| id | doaj-art-8094a9fedcc74cd1a5a0b68caf338e82 |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-8094a9fedcc74cd1a5a0b68caf338e822025-02-03T01:24:42ZengWileyGeofluids1468-81151468-81232021-01-01202110.1155/2021/91937329193732Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings DepositsHao Li0Yichuan Tang1Shibo Li2Jianquan Ma3Xiaojie Zhao4College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, ChinaCollege of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, ChinaCollege of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, ChinaCollege of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, ChinaCollege of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, ChinaThe pore ratio is an important parameter affecting the stability and safety of tailings reservoirs; however, the relationship between the pore ratio and physical properties of tailings sand has not been researched in-depth. In this paper, using the tailings from a tungsten mine in southern Shaanxi as a case study, the correlation between the minimum void ratio and related parameters is analyzed, based on laboratory test data, and the optimal marginal distribution function of the parameters is determined. The Gumbel-Hougard copula function that best describes the correlation between parameters is identified, and it is used to establish the joint probability distribution model of the three parameters, and the guarantee rate α is introduced to estimate and analyze the minimum void ratio. The results show that the optimal edge distribution of the fine particle content and specific gravity follows a truncated normal distribution, and the optimal edge distribution of the minimum void ratio follows a logarithmic normal distribution. According to AIC criterion, the Gumbel-Hougard copula is the best three-dimensional copula function to fit the minimum void ratio and related parameters. When the guarantee rate α is 0.485, the joint probability distribution model achieves optimal performance in terms of estimating the minimum void ratio. The maximum error of the estimation is 1.99%, which is verified through data, and the estimation meets the requirements for practical engineering. The method proposed in this paper uses the existing measured data to establish a joint probability distribution model and combines the collected fine particle content and specific gravity data with the guarantee rate to estimate the minimum void ratio, providing a novel basis for the study of the physical properties of tailings.http://dx.doi.org/10.1155/2021/9193732 |
| spellingShingle | Hao Li Yichuan Tang Shibo Li Jianquan Ma Xiaojie Zhao Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings Deposits Geofluids |
| title | Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings Deposits |
| title_full | Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings Deposits |
| title_fullStr | Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings Deposits |
| title_full_unstemmed | Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings Deposits |
| title_short | Copula-Based Method for Estimating the Minimum Void Ratio Parameters of Tailings Deposits |
| title_sort | copula based method for estimating the minimum void ratio parameters of tailings deposits |
| url | http://dx.doi.org/10.1155/2021/9193732 |
| work_keys_str_mv | AT haoli copulabasedmethodforestimatingtheminimumvoidratioparametersoftailingsdeposits AT yichuantang copulabasedmethodforestimatingtheminimumvoidratioparametersoftailingsdeposits AT shiboli copulabasedmethodforestimatingtheminimumvoidratioparametersoftailingsdeposits AT jianquanma copulabasedmethodforestimatingtheminimumvoidratioparametersoftailingsdeposits AT xiaojiezhao copulabasedmethodforestimatingtheminimumvoidratioparametersoftailingsdeposits |