Novel At-Face-Slurry Performance Modeling with Elliptical and Spherical Geometries

Raymond Suglo, S. Frimpong, O. F. Brown

Research output: Contribution to journalArticle

Abstract

Surface mine production scheduling and sequencing are used to maximize the expected prot and investment returns from mining operations. The pit geometries and expansion rates, and the periodic volume of materials from different benches in a multi-bench, multi-face open pit mine determine the equipment requirements, which impact the maximized pit value. Under such regimes, fast, accurate and repeatable estimation of pit volumes are required for just-in-time (JIT) production decisions. The analytical geometric volume calculations require time lags that prevent rapid information for JIT decisions. The introduction of the novel At-Face-Slurry (AFS) oil sands method require fast, accurate and repeatable pit volume estimation using continuous ow process. The rst part of this paper shows how partial differential equations (PDEs) and geometric techniques were used in modeling material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine. The second part contains the economic analysis on the current mining system (CMS) and the cyclic excavator conveyor belt control system (CycEx CBCS).

A continuous flow process via PDEs was used to model material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine and compared with analytical geometric methods. PDEs were used in the modeling due to the continuous nature of the changes in the volumes of the pits with time. The geometric and PDEs values are similar for the pit congurations. This work represents the rst successful attempt at using PDE in geometric calculations for open pit mines. The economic analysis shows that the NPV of the current mining system (CMS) is $3.2×1010 while that for the cyclic excavator conveyor belt control system (CycEx CBCS) is $4.06×1010. The Protability Index (PI) for the CMS and CycEx CBCS options are 19.37 and 43.37 respectively. The IRR of the CMS option is 29.02% while that of the CycEx CBCS option is 33.37%. The DPBP for the CMS and CycEx CBCS options are 3.24 months and 1.92 months, respectively. The CMS option has an operating cost of $1.386/tonne ($2.774/barrel) while that of the CycEx CBCS option is $0.779/tonne ($1.558/barrel). The requirement for a fast, accurate and repeatable process for generating pit volumes is met by using PDEs.
Original languageEnglish
JournalJournal of Powder Metallurgy & Mining
DOIs
Publication statusPublished - 2013

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Excavators
Partial differential equations
Geometry
Control systems
Oil sands
Economic analysis
Just in time production
Operating costs
Scheduling

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@article{0bd4b4d6321849b19f73839263fd12ae,
title = "Novel At-Face-Slurry Performance Modeling with Elliptical and Spherical Geometries",
abstract = "Surface mine production scheduling and sequencing are used to maximize the expected prot and investment returns from mining operations. The pit geometries and expansion rates, and the periodic volume of materials from different benches in a multi-bench, multi-face open pit mine determine the equipment requirements, which impact the maximized pit value. Under such regimes, fast, accurate and repeatable estimation of pit volumes are required for just-in-time (JIT) production decisions. The analytical geometric volume calculations require time lags that prevent rapid information for JIT decisions. The introduction of the novel At-Face-Slurry (AFS) oil sands method require fast, accurate and repeatable pit volume estimation using continuous ow process. The rst part of this paper shows how partial differential equations (PDEs) and geometric techniques were used in modeling material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine. The second part contains the economic analysis on the current mining system (CMS) and the cyclic excavator conveyor belt control system (CycEx CBCS).A continuous flow process via PDEs was used to model material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine and compared with analytical geometric methods. PDEs were used in the modeling due to the continuous nature of the changes in the volumes of the pits with time. The geometric and PDEs values are similar for the pit congurations. This work represents the rst successful attempt at using PDE in geometric calculations for open pit mines. The economic analysis shows that the NPV of the current mining system (CMS) is $3.2×1010 while that for the cyclic excavator conveyor belt control system (CycEx CBCS) is $4.06×1010. The Protability Index (PI) for the CMS and CycEx CBCS options are 19.37 and 43.37 respectively. The IRR of the CMS option is 29.02{\%} while that of the CycEx CBCS option is 33.37{\%}. The DPBP for the CMS and CycEx CBCS options are 3.24 months and 1.92 months, respectively. The CMS option has an operating cost of $1.386/tonne ($2.774/barrel) while that of the CycEx CBCS option is $0.779/tonne ($1.558/barrel). The requirement for a fast, accurate and repeatable process for generating pit volumes is met by using PDEs.",
author = "Raymond Suglo and S. Frimpong and Brown, {O. F.}",
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journal = "Journal of Powder Metallurgy & Mining",
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Novel At-Face-Slurry Performance Modeling with Elliptical and Spherical Geometries. / Suglo, Raymond; Frimpong, S.; Brown, O. F.

In: Journal of Powder Metallurgy & Mining, 2013.

Research output: Contribution to journalArticle

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PY - 2013

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N2 - Surface mine production scheduling and sequencing are used to maximize the expected prot and investment returns from mining operations. The pit geometries and expansion rates, and the periodic volume of materials from different benches in a multi-bench, multi-face open pit mine determine the equipment requirements, which impact the maximized pit value. Under such regimes, fast, accurate and repeatable estimation of pit volumes are required for just-in-time (JIT) production decisions. The analytical geometric volume calculations require time lags that prevent rapid information for JIT decisions. The introduction of the novel At-Face-Slurry (AFS) oil sands method require fast, accurate and repeatable pit volume estimation using continuous ow process. The rst part of this paper shows how partial differential equations (PDEs) and geometric techniques were used in modeling material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine. The second part contains the economic analysis on the current mining system (CMS) and the cyclic excavator conveyor belt control system (CycEx CBCS).A continuous flow process via PDEs was used to model material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine and compared with analytical geometric methods. PDEs were used in the modeling due to the continuous nature of the changes in the volumes of the pits with time. The geometric and PDEs values are similar for the pit congurations. This work represents the rst successful attempt at using PDE in geometric calculations for open pit mines. The economic analysis shows that the NPV of the current mining system (CMS) is $3.2×1010 while that for the cyclic excavator conveyor belt control system (CycEx CBCS) is $4.06×1010. The Protability Index (PI) for the CMS and CycEx CBCS options are 19.37 and 43.37 respectively. The IRR of the CMS option is 29.02% while that of the CycEx CBCS option is 33.37%. The DPBP for the CMS and CycEx CBCS options are 3.24 months and 1.92 months, respectively. The CMS option has an operating cost of $1.386/tonne ($2.774/barrel) while that of the CycEx CBCS option is $0.779/tonne ($1.558/barrel). The requirement for a fast, accurate and repeatable process for generating pit volumes is met by using PDEs.

AB - Surface mine production scheduling and sequencing are used to maximize the expected prot and investment returns from mining operations. The pit geometries and expansion rates, and the periodic volume of materials from different benches in a multi-bench, multi-face open pit mine determine the equipment requirements, which impact the maximized pit value. Under such regimes, fast, accurate and repeatable estimation of pit volumes are required for just-in-time (JIT) production decisions. The analytical geometric volume calculations require time lags that prevent rapid information for JIT decisions. The introduction of the novel At-Face-Slurry (AFS) oil sands method require fast, accurate and repeatable pit volume estimation using continuous ow process. The rst part of this paper shows how partial differential equations (PDEs) and geometric techniques were used in modeling material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine. The second part contains the economic analysis on the current mining system (CMS) and the cyclic excavator conveyor belt control system (CycEx CBCS).A continuous flow process via PDEs was used to model material volume, as well as pit layout changes with circular and elliptical geometries of an oil sands mine and compared with analytical geometric methods. PDEs were used in the modeling due to the continuous nature of the changes in the volumes of the pits with time. The geometric and PDEs values are similar for the pit congurations. This work represents the rst successful attempt at using PDE in geometric calculations for open pit mines. The economic analysis shows that the NPV of the current mining system (CMS) is $3.2×1010 while that for the cyclic excavator conveyor belt control system (CycEx CBCS) is $4.06×1010. The Protability Index (PI) for the CMS and CycEx CBCS options are 19.37 and 43.37 respectively. The IRR of the CMS option is 29.02% while that of the CycEx CBCS option is 33.37%. The DPBP for the CMS and CycEx CBCS options are 3.24 months and 1.92 months, respectively. The CMS option has an operating cost of $1.386/tonne ($2.774/barrel) while that of the CycEx CBCS option is $0.779/tonne ($1.558/barrel). The requirement for a fast, accurate and repeatable process for generating pit volumes is met by using PDEs.

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