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جستجوی مقالات مرتبط با کلیدواژه « optimization » در نشریات گروه « مهندسی معدن »

تکرار جستجوی کلیدواژه «optimization» در نشریات گروه «فنی و مهندسی»
  • Mehdi Rahmanpour *, Golpari Norozi, Hassan Bakhshandeh Amnieh
    Drift-and-fill mining is a variation of cut-and-fill mining method. Drift-and-fill mining method refers to the excavation of several parallel drifts in ore. Excavation of a new drift could start when its adjacent drifts are backfilled or not excavated. The amount of ore material and its grade depends on the excavation sequence of drifts. As the number of drifts increases, one will need a model to optimize the drift excavation and backfilling sequence. This paper introduces a mathematical model to determine the optimal drift-and-fill sequence while the safety constraints, excavation, and backfilling capacities and their dependencies are satisfied. The model seeks to minimize the deviations from some predefined goals, and it handles the long-term and short-term constraints in separate and integrated scenarios. An application of the model is presented based on the data available from a lead/zinc underground mining project. There are 91 drifts in the selected level. Based on the monthly planning horizon, the integrated model leads to the slightest deviations in both the mining rate and average grade, and the deviation from the predetermined annual goals is negligible. For the case where long-term and short-term plans are determined separately, the deviation is approximately 10%.
    Keywords: Optimization, Underground Mining Methods, Drift-And-Fill Mining, Integrated Production Planning, Production Deviations}
  • Shirin Jahanmiri, Ali Aalianvari *, Malihehe Abbaszadeh
    Groundwater inflow is a critical subject within the domains of hydrology, hydraulic engineering, hydrogeology, rock engineering, and related disciplines. Tunnels excavated below the groundwater table, in particular, face the inherent risk of groundwater seepage during both the excavation process and subsequent operational phases. Groundwater inflows, often perceived as rare geological hazards, can induce instability in the surrounding rock formations, leading to severe consequences such as injuries, fatalities, and substantial financial expenditures. The primary objective of this research is to explore the application of machine learning techniques to identify the most accurate method of forecasting tunnel water seepage. The prediction of water loss into the tunnel during the forecasting phase employed a tree equation based on gene expression programming (GEP). These results were compared with those obtained from a hybrid model comprising particle swarm optimization (PSO) and artificial neural networks (ANN). The Whale Optimization Algorithm (WOA) was selected and developed during the optimization phase. Upon contrasting the aforementioned methods, the Whale Optimization Algorithm demonstrated superior performance, precisely forecasting the volume of water lost into the tunnel with a correlation coefficient of 0.99. This underscores the effectiveness of advanced optimization techniques in enhancing the accuracy of groundwater inflow predictions and mitigating potential risks associated with tunneling activities.
    Keywords: Tunnel Seepage, Groundwater, Optimization, Meta-Heuristic Algorithms}
  • Reza Khodadadi Bordboland, Asghar Azizi *, Mohammad Khani

    The global growth of aluminum demand with the modernization of our society has led to the interest in developing alternative methods to produce aluminum from non-bauxite and low-grade resources such as shale bauxites. For such reserves, the conventional Bayer process is challenging and is not efficient to extract aluminum, and the sintering process is known to be effective. Thus, this study aimed to scrutinize the technical feasibility of alumina extraction from an Iranian low-grade (shale) bauxite ore containing 36.22% Al2O3, 22.11% SiO2, 20.42% Fe2O3, 3.33% TiO2, and 3.13% CaO. In this regard, the sintering process with lime-soda followed by alkaline leaching was adopted to extract alumina, and response surface modeling was employed to assess the important parameters such as the sintering temperature, Na2O(caustic) concentration, CaO/SiO2 molar ratio, and Na2O/Al2O3 molar ratio. The findings indicated that the extraction rate improved by increasing the sintering temperature and CaO/SiO2 ratio and decreasing the Na2O(caustic) dose and Na2O/Al2O3 ratio. It was also found that the Na2O(caustic) concentration, sintering temperature, and interactive effect of Na2O(caustic) concentration with Na2O/Al2O3 ratio had the greatest influence on the extraction efficiency. The process optimization was conducted applying the desirability function approach, and more than 71% of Al2O3 was extracted at 1150 °C sintering temperature, 2.1 CaO/SiO2 molar ratio, 0.9 Na2O/Al2O3 molar ratio and 30 g/L Na2O(caustic) dose. Ultimately, it was concluded that a lime-soda sintering process at 1150 °C followed by one-step alkaline leaching with Na2O(caustic) at 90 °C could be metallurgically efficient for treating the low-grade (shale) bauxites.

    Keywords: Low-Grade Bauxite, Aluminum Leaching, Sintering, Dissolution Yield, Optimization}
  • ریم خطابی، عصام تویل، محمد کزار، محمد آر. عید، فاطمه ز.دردور، کامل خونفیس، لخدار خوچمانه
    Rym Khettabi, Issam Touil, Mohamed Kezzar *, Mohamed R. Eid, Fatima.Z Derdour, Kamel Khounfais, Lakhdar Khochmane

    It is well-established that the response surface methodology (RSM) is commonly employed to establish the differences between the predicted values and those observed experimentally. This study mainly goals on the impact of four drilling factors including weight on the bit (WOB), the rotating rapidity of the bit, RPM, cutting angle , and rock resistance on the penetration rate of the drilling tool. In this examination, three kinds of limestone rocks were considered. The planned assessments were carried out at three stages of the considered four input variables. The statistical analysis was realized using both RSM approach and analysis of variance (ANOVA). This analysis allowed us to develop the appropriate penetration model with a higher determination coefficient of 96.19%, which demonstrates the high correlation between the predicted and experimental data, and consequently, it can be concluded that the obtained model is highly suitable for the prediction of the penetration rate. Also from variance analysis, the results obtained show that rotational speed, RPM, and weight on the bit (WOB) parameters, as well as the nature of the rock, which is determined by the rock compressive resistance, having a significant effect on the penetration rate; however, the rake angle has little effect. Finally, the optimal parameters were determined to find the best possible penetration rate of the drilling tool.

    Keywords: Optimization, Experimental data, Drilling Parameters, Optimal parameters, RMS, ANOVA}
  • سجاد رستمیان، مجید عطایی پور*
    برای طراحی یک معدن بعد از اینکه انجام عملیات زمین شناسی، تهیه مدل سه بعدی و مدل بلوکی معدن به اتمام رسید، تعیین محدوده نهایی انجام می شود. تعیین محدوده نهایی با استفاده از روش های دقیق و روش های هوش مصنوعی قابل محاسبه است. مساله تعیین محدوده نهایی از نظر سختی جزو مسایل NPhard است. روش های دقیق معمولا به نتیجه ای بهتر و بهینه خواهند رسید، اما برای مسایل بزرگ با تعداد بلوک های زیاد ممکن است با زمان حل بسیار بالایی قادر به پاسخ گویی به مساله باشد. در این شرایط بهتر است از الگوریتم های هوش جمعی یا تکاملی برای تعیین محدوده نهایی استفاده کرد. بهینه سازی مساله تعیین محدوده نهایی شبیه به مسایل بهینه سازی دیگر است که با استفاده از یک منطق الگوریتمی در نرم افزار متلب قابل حل است. در اینجا از الگوریتم کشتل در متلب برای بهینه سازی محدوده نهایی استفاده شده است. ابتدا الگوریتم کشتل برای حل مساله دو بعدی و سه بعدی پیاده سازی شده و در نهایت معدن مس سونگون به عنوان مطالعه موردی انتخاب و نتایج حل مساله تعیین محدوده نهایی با الگوریتم کشتل و نرم افزار NPVScheduler مقایسه شده است. نتایج نشان می دهد که استفاده از الگوریتم کشتل در مساله تعیین محدوده نهایی معدن مس سونگون اختلاف 47/0 درصدی با نرم افزار NPVScheduler دارد. مقایسه الگوریتم کشتل با نتایج لرچ گروسمن در تعیین محدوده نهایی دو بعدی و مقایسه نتایج حاصله از الگوریتم کشتل با نرم افزار NPVScheduler در مسایل سه بعدی نشان دهنده کارآیی مناسب آن در حل این مسایل است.
    کلید واژگان: بهینه سازی, تعیین محدوده نهایی سه بعدی, الگوریتم فراکاوشی کشتل (مرغابی)}
    S. Rostamian, M. Ataee-Pour *
    To design an open pit mine, geological operations must be conducted, followed by the preparation of a three-dimensional model and mineral block model. The ultimate pit limit can be determined through accurate methods and artificial intelligence techniques. The problem of determining the ultimate pit limit is considered to be NP-hard, making it challenging to solve. While exact methods provide better and optimal results, they may require significant time to answer the problem due to the large number of blocks involved. In such cases, it is more suitable to use collective algorithms or a planned approach to determine the final range. Optimizing the determination of the ultimate pit limit is similar to other optimization problems that can be addressed using logical algorithms in MATLAB software. In this study, Keshtel algorithm, implemented in MATLAB, is utilized to optimize the final range. Initially, Keshtel algorithm is employed to solve the problem. Subsequently, the Songun copper mine is chosen as a case study for the two-dimensional and three-dimensional implementation, and the results of determining the ultimate pit limit are compared with both Keshtel algorithm and NPV Scheduler software. The findings reveal that Keshtel algorithm, used to determine the final limits of the Songun copper mine, differs by only 0.47% compared to the NPV Scheduler software. Moreover, the comparison of Keshtel algorithm with the results of Lerch Grossman in determining the two-dimensional final range, as well as the comparison with NPV Scheduler software in three-dimensional problems, demonstrates its efficiency in solving these issues effectively.
    Keywords: Optimization, Keshtel Algorithm, 3D ultimate pit limit}
  • سعیده علیدادی، کیانوش بارانی بیرانوند*، محمد حیاتی
    تحقیقات زیادی برای یافتن یک حلال مناسب به جای سیانید در فروشویی طلا انجام گرفته است اما بیشتر روش های پیشنهاد شده به علت داشتن مشکلات زیست محیطی، فنی و اقتصادی، کمتر به طور وسیع در مقیاس صنعتی مورد استفاده قرار گرفته اند. اخیرا استفاده از آمینو اسیدها به ویژه گلایسین به عنوان جایگرینی برای سیانید یا به عنوان کمک کننده به سیانید و کاهش دهنده مصرف آن در فروشویی طلا مورد توجه قرار گرفته است. در این تحقیق فروشویی سیانید- گلایسین کانه طلا با استفاده از روش طراحی آزمایش ها مورد بررسی قرار گرفت. تاثیر پارامترهای، غلظت اکسید کننده پراکسید هیدروژن، غلظت سیانید، غلظت گلایسین و درصد جامد بر روی بازیابی طلا مورد ارزیابی قرار گرفته است. نتایج نشان داده است که موثرترین پارامترها به ترتیب عبارت از درصد جامد، غلظت گلایسین، غلظت سیانید و غلظت اکسیدکننده است. بازیابی طلا با افزایش درصد جامد، غلظت گلایسین و غلظت سیانید کاهش یافته است. بیشترین بازیابی زمانی حاصل شده است که این متغیرها در سطوح پایین خود باشند. در شرایط بهینه در غلظت پراکسید هیدروژن 49/2 درصد، غلظت سیانید 150 گرم بر تن، غلظت گلایسین 35/0 مول بر لیتر و درصد جامد 25 درصد بازیابی حدود 81 درصد طلا حاصل شده است.
    کلید واژگان: سنگ معدن طلا, فروشویی سیانیدی, گلایسین, بهینه سازی, طراحی آزمایش ها}
    Saeedeh Alidadi, Kianoush Barani *, Mohammad Hayati
    Many different lixiviants have been investigated as alternatives to cyanide for gold leaching. Due to environmental, technical, and economic constraints, the industrial application of these alternative methods is still rare up to now. Recent research works have indicated the viability of amino acids and particularly glycine, as an alternative lixiviant to cyanide in the gold industry. In this research, the cyanide-glycine leaching of gold ore has been studied using sign of experiments. The effects of hydrogen peroxide oxidant, cyanide concentration, glycine concentration, and solid content were considered. The results showed that the most effective parameters are solid content, glycine concentration, cyanide concentration, and oxidant concentration, respectively. Gold recovery decreased by increasing solid content, glycine concentration, and cyanide concentration. The maximum gold recovery was achieved when these parameters are at their lowest levels. In optimum conditions, 81% gold recovery could be obtained at 2.49% hydrogen peroxide, 150 ppm cyanide, 0.35 mol/L glycine, and 25% solid content.
    Keywords: Gold Ore, Cyanide leaching, Glycine, Optimization, Design of experiments}
  • Elhmam Ghadiri Sufi, Saeed Soltani Mohammadi *, Hadi Mokhtari

    Exploratory drilling is one of the most important and costly stages of mineral exploration procedures, so the continuation of mining activities depends on the gathered data during this stage. Due to the importance of cost and time-saving in the performance of mineral exploration projects, the effective parameters for reducing the cost and time of drilling activities should be investigated and optimized. Road construction and the sequence of the drilling boreholes by drilling rigs are among these parameters. The main objectives of this research were to optimize the overall road construction cost and the difference in length drilled by each drilling rig. The problem has been modeled as a Multi-Objective Multiple Traveling Salesman Problem (MOmTSP) and solved by the Non-dominated Sorting Genetic Algorithm-II (NSGA-II). Finally; the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method has been used to find the optimal solution among the solutions obtained by the NSGA-II.

    Keywords: Exploratory drilling, Multi-Objective Multiple Traveling Salesman Problem, Non-dominated Sorting Genetic Algorithm-II, Optimization, Technique for Order Preference by Similarity to Ideal Solution}
  • Saeid Zandevakili *, MohammadReza Akhondi

    Microwave applications in mining and process metallurgy have been the subject of many studies over the past two decades. This paper reviews the microwave-assisted leaching of copper from high-grade sulfide concentrate of the Sarcheshmeh copper complex. Response surface methodology (RSM) is used to optimize the leaching process. In this research, leaching experiments were carried out in a multi-mode cavity, and times in the presence of varying concentrations of H2O2 with microwave assistance after the leaching process parameters including type and concentration of the oxidizing agent, NaCl concentration, and leaching temperature, were optimized using Taguchi orthogonal array design method. Conventional leaching experiments were also performed to evaluate the influence of microwave radiation. It has been recognized that microwave technology has great potential to improve the extraction efficiency of metals in terms of both reductions in required leaching time and the recovery of valuable metals. Under the optimized conditions, the leaching efficiencies of copper were 75.3% and 42.5% in 3 hours by microwave assistance and conventional leaching methods, respectively..

    Keywords: Sarcheshmeh, microwave leaching, Taguchi, RSM, Optimization}
  • Andisheh Alimoradi *, Hossein Hajkarimian, Hamidreza Hemati Ahooi, Mohammad Salsabili
    Reserve evaluation is a very difficult and complex process. The most important and yet most challenging part of this process is grade estimation. Its difficulty derived from challenges in obtaining required data from the deposit by drilling boreholes, which is a very time consuming and costly act itself. Classic methods which are used to model the deposit are based on some preliminary assumptions about reserve continuity and grade spatial distribution which are not true about all kind of reserves. In this paper, a multilayer perceptron (MLP) artificial neural network (ANN) is applied to solve the problem of ore grade estimation of highly sparse data from zarshouran gold deposit in Iran. The network is trained using four metaheuristic algorithms in separate stages for each algorithm. These algorithms are artificial bee colony (ABC), genetic algorithm (GA), imperialist competitive algorithm (ICA) and particle swarm optimization (PSO). The accuracy of predictions obtained from each algorithm in each stage of experiments were compared with real gold grade values. We used unskillful value to check the accuracy and stability of each network. Results showed that the network trained with ABC algorithm outperforms other networks that trained with other algorithms in all stages having least unskillful value of 13.91 for validation data. Therefore, it can be more suitable for solving the problem of predicting ore grade values using highly sparse data.
    Keywords: Multilayer Perceptron, metaheuristic machine learning, grade estimation, inverse modeling, Optimization}
  • الهام نعمت اللهی، سعید زارع، فرشید قربانی، مصطفی مالکی مقدم، علی رضا قاسمی، صمد بنیسی*
    بیشترین انرژی مصرفی در کارخانه های فرآوری مواد معدنی صرف خردایش سنگ معدن می شود، بنابراین استفاده از حداکثر ظرفیت عملیاتی تجهیزات، در بهینه سازی مصرف انرژی موثر است. همچنین به دلیل تاثیر کارآیی سنگ شکن ها بر کارآیی تجهیزات پایین دست، بهینه سازی مدارهای سنگ شکنی همواره مورد توجه بوده است. در این تحقیق، تاثیر شکل مجرای خوراک دهی بر عملکرد سنگ شکن مخروطی مرحله سوم مجتمع مس سرچشمه مطالعه شد. در پایش ها، نوسانات زیاد توان کشی سنگ شکن و سایش شدید و غیریکنواخت آسترهای آن به عنوان مشکلات این بخش شناسایی شدند که نشانه ای از خوراک دهی نامناسب به سنگ شکن بودند. به همین دلیل، با استفاده از شبیه سازی های روش اجزای گسسته (راگ) با نرم افزار KMPCDEM©، طرح های مختلف مجرای خوراک دهی با هدف رسیدن به بالاترین درجه یکنواختی در توزیع خوراک روی صفحه توزیع کننده سنگ شکن بررسی شدند. نتایج نشان داد که با تغییر شکل مجرای خوراک دهی از مکعبی به استوانه ای، افزایش طول بالای مجرا از صفر به 45 سانتی متر، افزایش طول پایین آن از 53 به 95 سانتی متر و کاهش سطح مقطع از 34/0 به 24/0 مترمربع، جداشدگی در توزیع خوراک به سنگ شکن به حداقل ممکن رسید و خوراک دهی یکنواخت انجام شد. با نصب این مجرای جدید در یکی از سنگ شکن های مخروطی سرچشمه، نوسانات توان کشی سنگ شکن از 13 به 3 کیلووات کاهش یافت و امکان کنترل خودکار سنگ شکن و شرایط خوراک دهی خفه فراهم شد. در نتیجه، تناژ سنگ شکن 36 درصد افزایش یافت و محصول آن ریزتر و یکنواخت تر شد. علاوه بر این، با کاهش نرخ سایش و یکنواختی آن، عمر محور خردکننده و آسترهای سنگ شکن، از 8 به 15 ماه افزایش یافت.
    کلید واژگان: سنگ شکن مخروطی, روش اجزای گسسته (راگ), نوسانات توان کشی, مجرای خوراک دهی, سایش محور خردکننده, سرچشمه}
    E. Nematollahi, S. Zare, F. Ghorbani, M. Maleki Moghaddam, A. Ghasemi, S. Banisi *
    Comminution is the most energy intensive operation which constitutes the major portion of operating and capital costs of the mineral processing plants.  Working at the maximum operating capacity of comminution equipment plays a significant role in the efficiency of the circuit.  Also, due to the effect of crusher efficiency on the downstream circuit performance, optimization of the crushing circuits has received considerable attention.  In this research, the effect of feed chute design on tertiary cone crusher performance at the Sarcheshmeh copper complex was studied.  A close monitoring of the performance crusher revealed that main problems were high fluctuations of power draw and uneven and high-rate wear of crusher liners.  Such pitfalls were clear evidences of an improper feeding arrangement into the crusher.  Accordingly, various feed chute designs were employed in the simulations by an in-house developed DEM software called KMPCDEM© to find more uniform feed distribution on the distribution plate of the crusher.  Results showed that by changing the shape of feed chute from cubic to cylindrical, decreasing its surface area from 0.34 to 0.24 m2 and increasing the cylinder length above and below the feed chute plate from 0 to 45 cm and from 53 to 95 cm, respectively, uniform feed distribution was obtained.  After installing the new feed chute design in the plant, a detail monitoring over a period of 15 months showed a reduction of the standard deviation of crusher power draw from 13 to 3 kW.  A better crusher control caused choke feeding.  Therefore, 36% increase in the crusher throughput and finer and narrower product size distribution occurred.  Furthermore, the life of crusher liners increased from 8 months to 15 months on account of more uniform and lower rate of wear on mantle and liners.
    Keywords: Open Pit Mine, Ultimate pit limit, Optimization, Heuristic algorithm}
  • هانیه هادی زاده قاضیانی، مسعود منجزی*، امین موسوی، حسام دهقانی، عزالدین بخت آور
    H. Ghaziania, M. Monjezi *, A. Mousavi, H. Dehghani, E. Bakhtavar

    The production cycle in open-pit mines includes the drilling, blasting, loading, and haulage. Since loading and haulage account for a large part of the mining costs, it is very important to optimize the transport fleet from the economic viewpoint. Simulation is one of the most widely used methods in the field of fleet design. However, it is unable to propose an optimized scenario for which the appropriate metaheuristic method should be employed. This paper considers the Sungun copper mine as the case study, and attempts to find the most feasible transportation arrangement. In the first step, in this work, we compare the flexible dispatching with the fixed allocation methods using the Arena software. Accordingly, the use of flexible dispatching reveals the increase in the production rate (20%) and productivity (25%), and the decrease (20%) in the idle time. The firefly metaheuristic algorithm used in the second step shows that the combined scenario of the 35-ton and 100-ton trucks is the most suitable option in terms of productivity and cost. In another attempt, comparing different heterogeneous truck fleets, we have found that the scenarios 35-100 and 35-60-100-144 increase the production rate by 39% and 49%, respectively. Also, in both scenarios, the production cost decreases by 11% and 21%, respectively.

    Keywords: Optimization, Open-pit mines, Loading, haulage, Simulation, firefly algorithm}
  • مرتضی شناور، مجید عطایی پور*، مهدی رحمان پور

    برنامه ریزی تولید در معادن زیرزمینی همچنان یک فرآیند طراحی دستی است و ابزارهای مناسب برای تهیه برنامه ریزی تولید بهینه برای این معادن وجود ندارد. دستیابی به نتیجه بهینه واقعی از طریق برنامه ریزی دستی به دلیل پیچیدگی معادن زیرزمینی و مشکلات برنامه ریزی تولید در این معادن امری غیرممکن است. با توجه به افزایش روز افزون مصرف مواد معدنی از یک طرف و افزایش عمق ذخایر معدنی از طرف دیگر، تلاش برای دستیابی به روش های جامع بهینه سازی برنامه ریزی تولید در معادن زیرزمینی و علی الخصوص روش های استخراج بزرگ مقیاس با نرخ تولید بالا اجتناب ناپذیر است. از بین روش های استخراج زیرزمینی، روش استخراج تخریب در طبقات فرعی روشی متداول برای استخراج سنگ های سخت با نرخ تولید بالا می باشد و مطالعات بسیار محدودی در زمینه برنامه ریزی تولید بلند مدت برای این روش وجود دارد. در این مقاله، برای بهینه سازی برنامه ریزی تولید روش استخراج تخریب در طبقات فرعی، یک مدل جدید ریاضی با هدف بیشینه کردن ارزش خالص فعلی (NPV) ارایه شده است. محدودیت های فنی و اجرایی روش استخراج تخریب در طبقات فرعی مانند محدودیت های بازکننده ها و آماده سازی ها، ظرفیت تولید، هندسه طبقات فرعی و دسترسی به ذخیره در این مدل منظور شده اند. مدل ارایه شده بر روی یک مدل بلوکی اقتصادی اجرا و حداکثر NPV تعیین شد. مقایسه نتایج به دست آمده با نتایج حاصل از روش برنامه ریزی دستی، افزایش قابل توجهی در NPV عملیات معدنکاری را نشان می دهد.

    کلید واژگان: بهینه سازی, برنامه ریزی تولید, معدنکاری زیرزمینی, ارزش خالص فعلی, تخریب در طبقات فرعی}
    Morteza Shenavar, M. Ataeepour *, Mehdi Rahmanpour

    Production planning in underground mines is still a manual process and there are no suitable tools for optimal production planning for these mines. It is impossible to achieve a real optimum result through manual programming because of the complexity of underground mines and production planning problems in these mines. Due to the increasing consumption of minerals on one hand and the depth of mineral reserves, on the other hand, efforts to achieve comprehensive production planning optimization methods in underground mines and especially large-scale production methods with high production rates are inevitable. Among the underground mining methods, sublevel caving is a common method for hard rock mining, and there are very few studies of long-term production planning for this method. In this paper, a new mathematical model with the aim of maximizing the net present value (NPV) is presented to optimize the production planning of the sublevel caving method. The technical and operational constraints of the sublevel caving method such as development constraints, production capacity, sublevels geometry, and storage access are included in this model. The proposed model was implemented on an economic block model and the maximum NPV was determined. A comparison of the results obtained with the results of manual planning shows a significant increase in NPV mining operations.

    Keywords: Optimization, Production Planning, Underground mining, Net Present Value, Sublevel caving}
  • Behshad Jodeiri *, Hesam Dehghani, Mohammadreza Sadeghi
    In this paper, the flashlight (FL) algorithm, which is categorized as a heuristic method, has been suggested to determine the ultimate pit limit (UPL). In order to apply the suggested algorithm and other common algorithms, such as the dynamic programming, the Korobov, and the floating cone, and to validate the capability of the proposed method, the ultimate pit limit was determined in a cross-section of the Korkora reserve, which is located in Kurdistan province, northwestern of Iran and consists of 3080 blocks. The comparison of the FL algorithm and other methods revealed that same as high accuracy dynamic programming methods, the proposed algorithm could find the optimum value, while the Korobov and the floating cone algorithms failed to determine the optimum limit.
    Keywords: Heuristic algorithm, Ultimate pit limit, Optimization, Flashlight algorithm}
  • Mehdi Komasi, Ali Mohammadzadeh, Behrang Beiranvand *

    Designing and optimizing the dimensions of drainage systems is very important for keeping the downstream shells dry and preventing the increase of pore water pressure in the body of earth dams. By optimizing the drainage dimensions, the minimum factor of safety, and consequently the construction costs, can be reduced. The purpose of this research was to optimize the size of horizontal drainage that is affected by some important parameters of the dam. In this study, a homogeneous earth dam was modeled using the Geostudio software. The minimum factor of safety was obtained by changing drainage dimensions, materials, and the slope of the dam body. A two-layer neural network was used to predict the least factor of safety resulted from different scenarios created in the software. By training the neural network based on the data obtained from homogeneous dams, the minimum factor of safety for drainage optimization was extracted. For optimal, an Mfile was fitted to the trained neural network function, by which the optimal values of the dam parameters were calculated.The results showed that the optimum values of drainage dimensions obtained for homogeneous dams for three heights of 10, 20, and 30 m could be generalized to other heights between 10 and 30 m with a simple interpolation.

    Keywords: Horizontal drainage, Homogeneous dam, Optimization, Minimum factor of Safety}
  • Meisam Saleki *, Reza Khalo Kakaei, Mohammad Ataei
    In open-pit mining, different designs are created, such as optimal ultimate pit limit and production planning. In order to determine the ultimate pit limit, two approaches are generally used based on geological and economic block models. In this paper, according to the long-term trend of metals price and mining costs, some suggestions were made to design the ultimate pit limit using the geological block model. In addition, a grade-based objective function was presented for determining the ultimate pit limit. Then, in order to solve the problem, a heuristic algorithm was developed to simultaneously determine the ultimate pit limit and the sequence of block mining. For a 2D geological block model, the final pit was generated using the proposed algorithm. Furthermore, to validate the generated pit limit, the results of a 3D geological block model were compared with those of the Lerchs-Grossman algorithm. The comparison showed that the two pits corresponded to each other with an accuracy value of 97.7 percent.
    Keywords: Open pit design, Ultimate pit, Non-monetary value, Optimization, Heuristic algorithm}
  • فرزاد ستوده، محمد عطایی*، رضا خالوکاکایی

    برنامه ریزی تولید، مهم ترین و تاثیرگذارترین موضوع در طراحی و ارزیابی اقتصادی معادن روباز و زیرزمینی است. هدف از برنامه ریزی تولید معادن، زمان بندی و تعیین توالی فعالیت های معدنکاری با در نظر گرفتن محدودیت های فنی و استخراجی به منظور دستیابی به یکی از اهداف بیشینه سازی سود یا ارزش خالص فعلی (NPV)، میزان استخراج کانسنگ از ذخیره و عمر معدن است. بهینه سازی برنامه ریزی تولید معادن زیرزمینی که برای تعیین توالی کارگاه های استخراج به کار می رود، به دلیل پیچیده بودن تصمیم گیری ها و تعامل بین محدودیت های موجود، کاری دشوار است. از آنجا که تکنیک های برنامه ریزی ریاضی قادر به حل مسایل پیچیده و چند محدودیتی هستند، می تواند برای اهداف بهینه سازی به کار گرفته شوند. در این پژوهش، پس از پرداختن به مطالعات پیشین در رابطه با طراحی محدوده و برنامه ریزی تولید معادن زیرزمینی، به توضیح گام به گام مدل ارایه شده مبتنی بر برنامه ریزی عدد صحیح برای بهینه سازی برنامه ریزی تولید، پرداخته شده است. برای اعتبار سنجی مدل ساخته شده، مثالی در نظر گرفته شده است. بدین صورت که، ابتدا، توالی استخراج کارگاه ها با استفاده از رویکرد دستی/ معمولی و سپس، با استفاده از مدل ریاضی بسط داده شده در نرم افزار GAMS/CPLEX، انجام شده است. ارزش خالص فعلی (NPV) به دست آمده از برنامه ریزی تولید دستی برابر 211/8 میلیون دلار و با استفاده از مدل ریاضی برابر 331/8 است. به بیان دیگر ارزش خالص فعلی در رویکرد مبتنی بر برنامه ریزی ریاضی 46/1 درصد بیشتر از رویکرد دستی و معمولی بوده است که حاکی از قدرت برنامه ریزی ریاضی در حل مسایل چند محدودیتی است.

    کلید واژگان: برنامه ریزی تولید, بهینه سازی, معدنکاری زیرزمینی, برنامه ریزی عدد صحیح, ارزش خالص فعلی (NPV)}
    Farzad Sotoudeh, Mohammad Ataei *, Reza Khaloo Kakaie

    Production scheduling is the most important and influential issue in open pit and underground mining design and planning. The main purpose of mine production planning is time scheduling and determination of mine activities sequencing under some technical and extraction constraints in order to achieve one of the following goals: maximizing Net Present Value (NPV), the amount of ore extraction or mine life. Underground mine planning optimization which is used to determine the sequence of stopes extraction, is difficult due to the complexity of decision making and the interaction between existing constraints. Since, mathematical programming techniques are capable for solving complex and multi-limiting problems, they can be used for optimization purposes. In this study, after reviewing previous studies on the design and planning of underground mine production, the step by step explanation of a proposed model based on Integer Programming (IP) has been addressed. In order to validate proposed model, an example of 9 stopes was considered. First, the sequence of extraction was carried out using manual design and then using extended mathematical model in GAMS/CPLEX software. The current NPV obtained by manual production scheduling was 8.211 million dollars. While, this value for mathematical model was 8.331 million dollars. In other words, NPV value in mathematical model was 1.46% higher than manual method which indicate the power of mathematical programming for solving complex problems.

    Keywords: Production scheduling, Optimization, Underground Mining, integer programming, Net Present Value}
  • M. Shenavar, M. Ataee Pour *, M. Rahmanpour

    Production scheduling in underground mines is still a manual process, and achieving a truly optimal result through manual scheduling is impossible due to the complexity of the scheduling problems. Among the underground mining methods, sub-level caving is a common mining method with a high production rate for hard rock mining. There are limited studies about long-term production scheduling in the sub-level caving method. In this work, for sub-level caving production scheduling optimization, a new mathematical model with the objective of net present value (NPV) maximization is developed. The general technical and operational constraints of the sub-level caving method such as opening and developments, production capacity, sub-level mining geometry, and ore access are considered in this model. Prior to the application of the scheduling model, the block model is processed to remove the unnecessary blocks. For this purpose, the floating stope algorithm is applied in order to determine the ultimate mine boundary and reduce the number of blocks that consequently reduces the running time of the model. The model is applied to a bauxite mine block model and the maximum NPV is determined, and then the mine development network is designed based on the optimal schedule.

    Keywords: Mathematical Modeling, linear programming, Underground Mining, Sub-level Caving, Production Scheduling, Optimization, Net Present Value}
  • عطاالله بهرامی*، ساغر فرج زاده، محسن افتخاری

    عملیات آبگیری و بازیابی آب مورد استفاده در فرآیندهای فرآوری مواد معدنی، علاوه بر صرفه جویی در مصرف آب موجب به حداقل رسیدن تخلیه پسماند در محیط زیست می شود. در این تحقیق به بهینه سازی فرآیند آبگیری کارخانه فرآوری طلای زرشوران با استفاده از مدار شامل هیدروسیکلون پرداخته شده است. بدین منظور تعداد 12 آزمایش با قطرهای اسپیگات 2، 3، 6، 9 میلیمتر و در سه حالت عملیاتی تخلیه افشان، حالت گذر و تخلیه طنابی، هیدروسیکلون انجام شده است. قابلیت آبگیری هیدروسیکلون در هر آزمایش براساس مقادیر درصد جامد وزنی و بازیابی جرمی جامد جریان ته ریز ارزیابی شده است. نتایج آزمایش ها نشان می دهد که در شرایط عملیاتی ثابت، با افزایش قطر اسپیگات بازیابی جرمی جامد به جریان ته ریز افزایش و درصد جامد وزنی ته ریز کاهش می یابد. از طرفی با گرایش وضعیت تخلیه ته ریز از حالت طنابی به حالت افشان، درصد جامد وزنی و بازیابی جرمی جامد جریان ته ریز به طور همزمان افزایش می یابند. بنابراین می توان گفت الگوی تخلیه افشان در ته ریز دارای قابلیت آبگیری بالاتری است. در قطر 6 میلیمتر اسپیگات و الگوی تخلیه افشان، بازیابی جرمی جامد ته ریز و درصد جامد وزنی ته ریز به ترتیب به 75 و 61 درصد می رسد. در این حالت با در نظر گرفتن هیدروسیکلون به عنوان مرحله اول فرآیند آبگیری، این مقدار از جامد بدون نیاز به آبگیری مستقیما و با هزینه کمتری قابل انتقال به سد باطله است. از طرف دیگر سرریز هیدروسیکلون محتوای 25 درصد از کل جامد ورودی است. در صورتی که از فیلترپرس موجود در واحد آبگیری به عنوان مرحله نهایی آبگیری استفاده گردد، بار ورودی آن 75 درصد کاهش خواهد یافت و این به معنی افزایش کلی ظرفیت این واحد توسط هیدروسیکلون است.

    کلید واژگان: هیدروسیکلون, آبگیری, بهینه سازی, الگوی تخلیه, کارخانه فرآوری طلای زرشوران}
    Ataallah Bahrami *, Saghar Farajzadeh, Mohsen Eftekhari

    Dewatering and water recycling operations in mineral concentration processes lead to not only cost-effective water use, but also less waste disposal to the environment. In this study, optimization of dewatering process in Zareshouran gold processing plant is carried out using hydrocyclone containing circuit. For this purpose, 12 experiments using 4 spigots with 2, 3, 6, 9 mm diameter, and in 3 operation state of spray discharge, transition state and rope discharge have been conducted. Dewatering capability of hydrocyclone is evaluated based on solid weight percent and solid recovery of underflow stream. The results indicate that in the same operation state, increase in spigot diameter leads to an increase in solid recovery and a decrease in solid weight percent of underflow stream. On the other hand, as the operation state tends to rope discharge solid weight percent and solid recovery of underflow increases simultaneously. Therefore, it can be stated that spray discharge pattern has a higher dewatering capability. Using a spigot with 6mm diameter in the operation state of spray discharge, solid recovery and solid weight percent reaches 75 and 61%, respectively. In this condition, if hydrocyclone is considered as the first step of dewatering process, 75% of the feed solid content can be directly transferred to tailings dam at a lower cost. On the other hand, the overflow stream carries only 25% of feed solid content. If pressure filter present in current dewatering system are considered as the second step of dewatering process, their feed slurry will be reduced by 75%. This means an overall increase in dewatering system capacity by hydrocyclone.

    Keywords: Hydrocyclone, dewatering, Optimization, discharge pattern, Zareshouran gold processing plant}
  • طیبه رمضانعلی زاده، مسعود منجزی*، احمدرضا صیادی، امین موسوی
    T. Ramezanalizadeh, M. Monjezi *, A. R. Sayadi, A. Mousavinogholi

    Waste rock dumping is very important in the production planning of open-pit mines. This subject is more crucial when there is a potential of acid-forming (PAF) by waste rocks. In such a type of mines, to protect the environment, the PAF materials should be encapsulated by non-harmful rocks. Therefore, block sequencing of the mined materials should be in such a way that both the environmental and economic considerations are considered. If non-acid forming (NAF) rocks are not mined in a proper time, then a stockpile is required for the NAF materials, which later on would be re-handled for encapsulation of PAF rocks. In the available models, the focus is on either block sequencing or waste dumping strategy. In this work, an attempt has been made to develop an integrated mathematical model for simultaneous optimization of block sequencing and waste rock dumping. The developed model not only maximizes the net present value (NPV) but also decreases the destructive environmental effects of inappropriate waste dumping. The proposed model, which is solved by a CPLEX engine, is applied to two different iron deposits. Also the performance of the proposed model is cross-checked by applying the available (traditional) models in a two-step manner. According to the results obtained, it can be considered that utilizing the developed model, because of extensive re-handling cost reduction, the NPV improvement is significant, especially when the overall stripping ratio is higher (deposit case A).

    Keywords: Keywords Waste Rock Dumping, Encapsulating, Block Sequencing, Optimization, NPV}
  • میثم سالکی*، رضا خالوکاکایی، محمد عطایی
    بهینه سازی محدوده نهایی معادن روباز یکی از مهم ترین بخش های طراحی در این معادن است. برای تعیین محدوده نهایی الگوریتم های مختلفی ارایه شده است که مهم ترین آنها الگوریتم لرچ و گروسمن (LG) است. هدف این روش ها تعیین محدوده نهایی با بیشینه سازی سود تنزیل نشده است. در مقابل، روش مناسب تر برای تعیین محدوده نهایی استفاده از ارزش خالص فعلی (NPV) به عنوان هدف بهینه سازی است. بر این اساس، در این پژوهش ابتدا مدل ریاضی غیرخطی این مسئله ارایه شده است. در ادامه با ارایه پیشنهادهایی تابع هدف ارایه شده در دو مرحله خطی سازی شده است که هر مرحله دارای تعداد متغیرهای کمتری نسبت به تابع هدف غیرخطی اصلی است. با توجه به این که تابع هدف غیرخطی اصلی و مراحل خطی سازی آن از نوع مسایل NP-Hard هستند، حل آنها از طریق روش های ریاضی بسیار زمان بر و مشکل است. بر این اساس برای حل این مدل ریاضی الگوریتم ابتکاری جدیدی توسعه داده شده است. این الگوریتم روشی مناسب و با سطح پیچیدگی کم را برای بیشینه سازی NPV در محدوده نهایی در زمانی مناسب و با دقت مناسبی پیشنهاد می دهد. نتایج به دست آمده از الگوریتم ارایه شده با چند الگوریتم ریاضی و ابتکاری مقایسه شده است. میزان تطابق ارزش محدوده دارای بالاترین NPV در الگوریتم ابتکاری با محدوده های الگوریتم های ریاضی و ابتکاری مشابه در مدل دوبعدی 7/93 درصد بود. همچنین در یک مدل بلوکی سه بعدی با نرخ بهره صفر، ارزش محدوده نهایی این الگوریتم با روش لرچ و گروسمن 55/98 درصد تطابق داشت.
    کلید واژگان: معدن روباز, محدوده نهایی, ارزش خالص فعلی, برنامه ریزی صفر و یکی, بهینه سازی, الگوریتم ابتکاری}
    Meisam Saleki *, Reza Kakaie, Mohammad Ataei
    SummaryThe aim of this paper is to present a new algorithm to determine ultimate pit outline and mining sequence simultaneously based on the maximization of the net present value (NPV). For this purpose, a nonlinear binary mathematical model was established and then a heuristic algorithm was developed to solve this NP-Hard problem. IntroductionThe ultimate pit limit is an important problem which is determined by maximization of undiscounted profit or NPV. The floating cone algorithm and its modified versions, Korobov algorithm, Lerchs-Grossman method and maximal flow algorithm were developed to generate ultimate pit limit based on the maximization of the undiscounted profit. Nevertheless, it is better to determine the pit outline based on the maximization of NPV. To achieve this goal some algorithms like Wang-Sevim, Latorre-Golosinski and Roman were established.Methodology and ApproachesThe binary and nonlinear mathematical model to determine the ultimate pit limit on the basis of maximizing NPV and a few suggestions for its linearization were presented. Afterwards, by defining the concepts of downward cone, positional weight and nearest ore index, a heuristic algorithm was developed to determine the ultimate pit limit and mining sequence all together.Results and ConclusionsThe algorithm was applied for 2D and 3D block models and the results showed that it is able to produce optimum outcome. Complexity of the algorithm is low and easy to use and as well as for education purpose. It is also able to consider variable slopes and grade-based constraints for production planning in the algorithm.
    Keywords: Open pit mine, Ultimate pit limit, Net Present Value, Binary Programming, Optimization, Heuristic algorithm}
نکته
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