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By A Maier, M Goldner, C Gimber

Given the ongoing global crises of climate change and nature loss, with the World Economic Forum (WEF) identifying them as the top risks to global economies in terms of both likelihood and impact in the coming ten years (WEF, 2022), there is increasing, pressing demand for companies to demonstrate they understand their climate and nature related risks and look toward contributing genuine beneficial environmental outcomes. Within the mining industry, mine closure is the obvious field in which climate and nature positive strategy can be linked with operations. To do so, there is a need to challenge long-held assumptions around closure in the mining and regulatory context; particularly, to shift the focus from closing individual mines to considering regional opportunity generation and value creation.

Aug 2, 2023

By C K. McKenzie

As more and more mining operations around the world either switch to, or trial, electronic initiation systems, the breadth of knowledge and experience regarding their effective application has widened considerably.In South America, for example, there is a strong perception that in order to achieve the finest possible fragmentation, very short electronic delays must be used between successive holes within a row. Limited field studies involving measurement of fragmentation have been conducted to support that paradigm and there are few long term studies which have been strongly supported by measurements of productivity either in the pit, in the plant, or in the leaching pads.On the other hand, some well documented studies have been conducted in North America, showing not only the impact of delay timing on fragmentation but also the effect on semi-autogenous grinding (SAG) mill productivity over extended periods of in excess of 12 months. To date, those studies suggest that optimum timing is considerably longer than the times commonly used in South America.This paper explores the current knowledge of the effects of delay timing on issues ranging from size distribution to vibration impacts in pit walls, to vibration and overpressure impacts in surrounding communities. It also explores how fragmentation modelling can be adapted to reflect fragmentation trends that have been reported in various technical conferences around the world.

Nov 8, 2011

By P F. Hodkiewicz

"Our understanding of mineral resources relies on three basic steps: data capture data interpretation model construction. Until recently, all three of these steps required significant time and manual effort to produce a single resource model for mine planning, typically taking more than a year to progress from drilling to the final block model. Over the past several years, BHP Billiton has been developing innovative workflows in rapid resource modelling projects to significantly reduce these time constraints and make the process more productive by replacing manual activities with automated ones. Rapid resource modelling is the process of combining recently developed off-the-shelf technology with internal technology developments to fundamentally change the way we collect, interpret, model and evaluate geoscience data. Initiatives include automated systems and standardised workflows to make it safer, faster and cheaper to continuously update multidiscipline resource models. Specifically, rapid resource modelling workflows combine: real-time analysis of drill holes and drill samples with downhole tools and hyperspectral scanning systemsautomated interpretation of drill hole intervals based on pattern-recognition algorithmscontinuous modelling workflows using implicit modelling software. This paper outlines technology developments and workflows that provide a more thorough understanding of mineral resources to support faster and more informed strategic, planning and production decisions.CITATION:Hodkiewicz, P F, 2014. Rapid resource modelling – a vision for faster and better mining decisions, in Proceedings Ninth International Mining Geology Conference 2014 , pp 183–188 (The Australasian Institute of Mining and Metallurgy: Melbourne)."

Aug 18, 2014

By D H. Laubscher

The in situ rock mass rating system û IRMR - leading to the mining rock mass rating system - MRMR - for jointed rock masses has been used (and abused) in mining operations around the world for the past 27 years. Despite the recent development of elaborate design procedures and computer-aided design packages, MRMR remains one of the most versatile and practical mine design systems available. It is important to realise that the rock mass classification system should not be replaced but rather complemented by more sophisticated and detailed design procedures. The classification system is not only the æcrudeÆ method used for initial assessment (as described in some geotechnical literature) but also in many respects a very effective and practical engineering tool. MRMR could, and should be used during the entire stage of mine life as an integral part of the design process. The objectives of this paper are to illustrate using practical case histories from the past decade, some of the pitfalls of the MRMR classification system, to clarify certain misconceptions in its application and update its mining application.

Jan 1, 2000

By H Parra, D Zenteno

Fragmentation modelling has been in use in the mining industry for a long time; however, there are still some aspects to tackle with regard to its use for strategic/planning and day-to-day purposes.On one hand, an important amount of resources are allocated to the task of calibrating and validating a good fragmentation model. Nonetheless, errors during the implementation stage introduce uncertainty into the prediction.On the other hand, it is common practice in the mining industry to use only discrete values to represent the fragmentation from blasting (k20, k50, k80), which provides a biased interpretation of the situation as, for instance, the best and worst possible cases are not taken into account. This is particularly critical when a continuous improvement philosophy has been adopted and modelling is used to either modify the drilling and blasting designs or plan ahead.It is well known that every site has particular conditions (rock mass, equipment, drilling and loading practices, among others) that often define unique trends in implementation. These trends can be captured using statistic and probabilistic techniques and then used as proxies for further analysis.This paper explores the potential of including implementation data in the form of probabilistic distributions into the Swebrec model to improve the performance of this engineering tool during the decision-making process.The fragmentation results of four designs were modelled using three different degrees of accuracy in the implementation for the burden, spacing and explosive column length.The data analysis showed that the probabilistic approach helps to achieve a broader perspective regarding the fragmentation that it is possible to obtain and the implications for the subsequent processes. The analysis also showed that the likelihood of producing similar fragmentation with different designs (involving different powder factors and costs associated) increases with the variability of the implementation.CITATION:Parra, H and Zenteno, D, 2015. Evaluating the inclusion of the implementation variability into fragmentation modelling, in Proceedings 11th International Symposium on Rock Fragmentation by Blasting, pp 121–126 (The Australasian Institute of Mining and Metallurgy: Melbourne).

Aug 24, 2015

By J Rola

This paper outlines a laboratory-based design method, founded in critical state soil mechanics, for identification of an appropriate compaction specification to ensure dilative conditions prevail across the design TSF stress range. The method makes use of the critical state line (CSL) and consolidation tests prepared at varying compactive efforts. The CSL and consolidation curves are plotted together in e-log p’ space, with the compaction curves transformed from vertical effective stress to mean effective stress using the coefficient of earth pressure at rest (K0). Consideration is given to the sensitivity of K0 as it is generally not available during the design phase. An example of the design method is illustrated with laboratory data.

Jul 1, 2021

By I M. Platten, Y Xie

Sampling protocols that are designed to suit the mineralisation style will result in a reduction of the nugget effect and hence resource risk. The a priori need for all sampling programs is the effective characterisation of the mineralisation type(s) to support optimisation. This requires a program of sampling for sampling followed by holistic characterisation. At each end of the coarse-gold to fine-gold spectrum, the samplability of a deposit ranges from relatively simple for fine-grained disseminated gold particles, through to extremely difficult for coarse nuggety mineralisation. Many deposits contain a proportion of both particle size types. The proportion and size of coarse gold particles has a direct impact on the effectiveness of sampling, where coarser particles will require larger samples and more specialised protocols. The nature of mineralisation geology/mineralogy and associated gold particle sizing can only be determined by sampling to facilitate optimised protocols. Mineralogical studies, focusing on particle size, particle clustering and distribution in host minerals, are required as part of wider paragenetic and metallurgical investigations. This paper discusses the role of mineralogical studies in the characterisation of gold ores for sampling optimisation through a series of case studies.

Jan 1, 2008

By M P. Schwarz

This paper describes modelling studies of the flotation cells used by BHP Billiton Nickel West Ltd in the slimes circuit at Mt Keith. The aim is to achieve a better understanding of the hydrodynamic limitations in the existing cells to improve nickel recovery. Computational fluid dynamics (CFD) simulations have been performed on the 100 m3 mechanically-stirred cells. The data produced by the simulations include velocity vectors, gas holdup distribution, solids distribution, bubble size, superficial gas velocity and turbulent parameters. These results have been checked and found to match hydrodynamic measurements at the plant. An analysis of the data found that one of the limitations in fine particle recovery was related to the air bubbles discharged with the tailing. The air in the discharge was caused by the high viscosity of the pulp. In the presence of fine particles, the pulp exhibits high viscosity with a yield stress. The increased drag due to high viscosity caused the bubbles to rise more slowly up the cell. This results in a significant hold-up of bubbles, some of which report to the tailing with associated loss of valuable minerals. A parametric CFD study of the operating variables shows that less air would be discharged in the tailing by decreasing the following: air flow rate,pulp density,stirring speed, andfrother addition. Simulation results indicate that these changes would cause a lowering of the air hold up in the cell especially near the discharge area. Predictions of the bubble-particle attachment rates under various operating conditions have also been calculated. Although it is possible to increase attachment rates by increasing stirring speed or by increasing pulp density, the amount of air discharged and the amount of nickel loss through the tailing will also increase. The project showed that CFD modelling is a powerful tool for studying hydrodynamic effects of bubble-particle interactions in flotation cells.

Jan 1, 2008

By E de N, B H. Usher, F D. I Hodgson

Due to the haphazard application of static tests in South Africa, several methods and interpretations have been followed. This has resulted in confusion amongst practitioners and regulators in the use and validity of these methods. Research was done over a two-year period to define standardised methods and interpretation of results. This included laboratory testing and continuous consultation with all interested parties throughout the country. The research yielded a modified ABA, based on several existing methods. The methodology includes AP determination using hydrogen peroxide, and an analysis of the supernatant by ICP. This has the advantage of not only registering reactive sulfur, but also provides the NAG pH, that enhances the interpretation and QC of the tests. Analysis of the supernatant provides an indication of heavy metal solubilisation, should acid conditions arise. One hundred and seventeen samples were compared to Leco S analyses and provided a good correlation. The Leco values were slightly elevated due to the reporting of total S as opposed to æreactive SÆ. The NP method deviates from the usual methodology, in that H2SO4 is used (to provide a field analogy) and the fact that a 24-hour stabilisation period is allowed before back-titration. The latter modification appears to prevent psuedo-buffering by transient phases. These methods have also been tested for repeatability and prove to be robust. A very simple macro-driven spreadsheet, æABACUSÆ, was also developed. This spreadsheet allows the entry of basic data and provides a detailed interpretation and graphical display of typical ABA data. In cases where drill holes are used, the Pennsylvanian approach of volume calculation can also be done with ABACUS. The results of the research have been distributed to interested parties in South Africa and it is hoped that these methods and their application will find widespread acceptance.

Jan 1, 2003

By L Nagy, K P. Juhasz

The authors were engaged to optimise a traditional rebar cage reinforced concrete segmental lining by means of finite element analysis (FEA) using macro synthetic fibres for the Shanghai metro extension. The aim of this study was to reduce or entirely replace the original steel reinforcement of the segmental lining, in order to make the precast production process faster and more economic. The outer diameter of the tunnel was 6200 mm, the thickness of the segments was 350 mm.The numerical calculations were performed by Atena Finite Element software, which is based on the combination of Menétrey-William and Rankine failure surfaces on the compression and tension sides respectively. The effect of the macro synthetic fibres was modelled as tension stiffening on the tension surface.A one-to-one full scale model of an assembled tunnel ring using the original reinforcement cages was tested at Tongji University in Shanghai, July 2013. The ring was tested to differing load levels where load and displacement were measured until failure. The author’s first step was to calculate the real displacement characteristics of the original reinforced concrete (RC) ring, then calculate the numerically modelled version, so as to compare them. The material parameters of the concrete and rebar used had been determined through basic material tests conducted at the Tongji University. (Bi, Liu and Wang, in press).The numerical modelling undertaken has shown good correlation with the full-scale physical test results. Optimisation of the lining reinforcement was achieved through the addition of fibres, resulting in a substantial reduction of the steel rebar cages. Several results have been computed with the numerical model using different dosages of macro synthetic fibres, showing that the mass of steel reinforcement could be reduced by 50 and 75 per cent respectively.CITATION:Juhasz, K P, Nagy, L and Winterberg, R, 2014. Full-round numerical modelling of a macro synthetic fibre reinforced tunnel boring machine tunnel in the Shanghai Metro extension, in Proceedings 15th Australasian Tunnelling Conference 2014 , pp 477–484 (The Australasian Institute of Mining and Metallurgy: Melbourne).

Sep 17, 2014

By G Power

The successful implementation of sublevel caving (SLC) at Ridgeway Gold Mine (Ridgeway) requires the technical aspects of caving and flow behaviour to be understood. Cave propagation must be controlled and continuous to allow safe extraction of ore below. The understanding and use of processes to manage granular flow behaviour are also required to ensure economic metal resource recovery. Caving and flow technologies are thus critical to the economic viability of the application of the SLC mining technique to Ridgeway Gold Mine. At the time the Ridgeway SLC design was approved there were significant technical uncertainties associated with cave mining methods, including the SLC mining method in competent rock masses. This was in spite of the fact that caving is a relatively low cost mining method. Unique features generating technical risks at Ridgeway include: the fact that the orebody is blind (550 m below surface); highly competent cap rock (RMR >50); and high aspect ratio (height to width ratio of 3:1). Due to the presence of these unique features Ridgeway is considered to be beyond the current state-of-the-art in SLC mining technologies. The success of the technique at Ridgeway to date has indicated that blind SLC mines in strong rock mass can be operated safely and productively, if the technical risks are understood and properly managed. The risk management process was defined by the use of a formalise process to identify and assess the risks to the mine. The major mining related risks were formalised into Major Hazard Management Plans (MHMP) which contained a description of the risk, early triggers indicating the creation of a hazard and a series of agreed responses to be automatically initiated in the event of each trigger occurring. This paper outlines the following with respect to the critical technology areas of caving and flow: international industry, state-of-the-art technology; gaps in the application of this technology; the application of risk management, new processes developed at Ridgeway to bridge these gaps, including issues encountered; and trials and experimentation conducted to develop the new processes.

Jan 1, 2003

By M M. Collisson

The Synthetic Rutile (SR) plant operations, North Capel, produce electrostatic precipitator (ESP) fume and kiln scrubber residue. Typically ESP contains about 18 per cent Ti, 13 per cent Fe, 0.5 per cent Mn, eight per cent Si, six per cent Al, 16 per cent C, 0.9 per cent Zn, 0.6 per cent Pb, 300 ppm As, 300 ppm Cr and 5 ppm Cd. These wastes are held in a storage dam together with neutralised acid effluent (AE) liquor. A project was initiated to treat the fume and produce a benign residue that could be delivered to landfill, reducing dam space storage. Plant AE, containing free acid (9 - 14 g/L), Fe (6 - 7 g/L) and Mn (1 g/L), was used to leach ESP. The degree of extraction achieved for various elements include about 20 per cent Zn, almost 50 per cent As, five per cent Al, 0.4 per cent Pb and 15 per cent Cd. Extraction was most effective at pH The residue from AE leaching still contained Pb. TCLP tests of the leach residue produced Pb extraction significantly higher than the 0.1 ppm stipulated by Class 2 landfill guidelines. Other elements (eg As, Cd, Cr) successfully met the limits. Further leaching of the residue with EDTA extracted up to 65 per cent of Pb content. TCLP tests on treated residue showed Pb leaching potential of Lead was removed from the leach circuit as the sulphate by acidification of EDTA leach liquor, allowing EDTA to be recycled. The study showed that one waste stream can be used to treat another and help reduce plant waste.

Jan 1, 2001

By A K. B Chigwada

Mining organisations grapple with the same problems year after year, wasting incredible amounts of time and money. According to estimates from the International Labour Organization (ILO), over one million work-related deaths occur annually, and hundreds of millions of workers suffer from workplace accidents and occupational exposure to hazardous substances worldwide. Many accident reports cite human failure as a primary cause (Busse and Johnson, 1998). The workers at the Bhopal chemical plant pumped methyl isocyanate into a leaking tank (Morehouse and Subramaniam, 1986). On 3 December 1984, more than 40 tons of methyl isocyanate gas leaked from a pesticide plant in Bhopal, India, immediately killing at least 3800 people and causing significant morbidity and premature death for many thousands more. The company involved in what became the worst industrial accident in history immediately tried to dissociate itself from legal responsibility (Broughton, 2005). Australia is not spared from safety problems either (Lucas, 2022). The ILO Convention 176 (1995) as a response provides that national law should inter alia provide for the supervision of safety and health in mines; the inspection of mines by designated inspectors of the competent authority; the procedures for reporting and investigating of fatal and serious accidents; the compilation and publication of statistics on accidents, occupational diseases and dangerous occurrences; the competent authority to suspend or restrict mining activities on safety and health grounds until conditions giving rise to the suspension are addressed; and worker consultation on matters related to safety and health in mines. This has assisted in getting enough data to define the magnitude of the problem to the mining sector.

Apr 16, 2024

By D L. Decker, G C. Miller, C Papelis

Arsenic, often associated with precious metals ore deposits, is a major contaminant released during large-scale gold mining. Because of the complex oxidation/reduction and sorption behaviour of As, prediction of the long-term mobility of As in pit lakes is uncertain. The behaviour of As in pit lakes is investigated in this paper by conducting a series of laboratory experiments where As is allowed to adsorb onto pit lakes sediments. Experiments were conducted over a range of pH with both As(III) and As(V) allowed to adsorb onto sediments collected from existing pit lakes found in the three main orebody types in Nevada, USA; porphyry copper, quartz-adularia gold, and Carlin Trend type gold deposits. Results from adsorption experiments show that As(V) and As(III) adsorption is strongly pH dependent with higher uptake at pH 5 and lower uptake at pH 9 for As(V) and higher uptake at pH 9 and lower uptake at pH 5 for As(III). This behaviour, as expected for oxyanions, has been described previously for agricultural soils, iron oxides, and Carlin Trend heap materials. Maximum adsorption of As(V) for the Carlin Trend type gold sediment was 3.0 g/kg at pH 5, 2.0 g/kg for the quartz-adularia sediment, and 0.9 g/kg for the copper porphyry sediment. Maximum adsorption of As(III) for Carlin Trend type gold sediment was 2.5 g/kg at pH 9, 2.2 g/kg for the quartz-adularia sediment, and 2.1 for the copper porphyry sediment. Adsorption isotherms are non-linear and show Freundlich isotherm behaviour. Variations in sorption between the different pit lake sediments under similar conditions can be explained by differences in the elemental composition of the sediment. Most rock forming elements from XRF analysis are similar in quantity except for Fe. The Fe content is highest in the Carlin Trend type gold deposit sediments and lowest in porphyry copper deposit sediments and is the third most abundant element in all three sediments. The Fe content of the sediments correlates well with the amount of As sorption seen in the laboratory experiments.

Jan 1, 2003

By D P. Blair

The theme of this conference is blasting productivity. This article only considers the technology aspect of this theme, and in particular, the collection and analysis of experimental data. In many cases, field trials are set up to collect data on variables such as fragmentation and vibration with the aim of comparing different explosive products and/or blast designs. An important aspect of such trials is the collection of sufficient data to draw sound conclusions. In this regard, there is no doubt that the scatter in real data is the root cause of all problems of obtaining misleading results due to an insufficient number of trials. This article shows that the typical one-off trial has a high probability of producing misleading information, which could be considered to be worse than having no information at all. Assuming that sufficient data has been collected, this article also highlights the methods that can be used to make the most of that data. These methods include the application of appropriate statistics that are dependent on the nature of the scatter in the data, and the use of some of the more recent filtering and spectral approaches that can be used to reduce the noise in measured blast signals and increase the resolution of their spectral characteristics.

Nov 8, 2011

Subsidence issues associated with historic mine workings have highlighted the need for enhanced geotechnical management of the Martha pit over the remaining life. In conjunction with a detailed analysis of pit slope issues a comprehensive geotechnical management plan has been developed at Martha and is being used as the basis for development of similar plans in other Newmont operations.   This paper covers the geotechnical issues facing the Martha operation and the development and application of the management plan.

Jan 1, 2004

By A Karrech, C Schrank, O Gaede, I Canbulat

Strain-based failure criteria have several advantages over stress-based failure criteria: they can account for elastic and inelastic strains; they utilise direct, observable effects instead of inferred effects (strain gauges versus stress estimates) and they model complete stress-strain curves, including prepeak, non-linear elasticity and post-peak strain weakening. In this study, a strain-based failure criterion derived from thermodynamic first principles utilising the concepts of continuum damage mechanics is presented. Furthermore, implementation of this failure criterion into a finite element simulation is demonstrated and applied to the stability of underground mining coal pillars.In numerical studies, pillar strength is usually expressed in terms of critical stresses or stress-based failure criteria where scaling with pillar width and height is common. Previous publications have employed the finite element method for pillar stability analysis using stress-based failure criterion, such as Mohr-Coulomb and Hoek-Brown, or stress-based scalar damage models.A novel constitutive material model, which takes into consideration anisotropy as well as elastic strain and damage as state variables, has been developed and is presented in this paper. The damage threshold and its evolution are strain-controlled, and coupling of the state variables is achieved through the damage-induced degradation of the elasticity tensor. This material model is implemented into the finite element software Abaqus and can be applied to 3D problems.Initial results show that this new material model is capable of describing the non-linear behaviour of geomaterials commonly observed before peak strength is reached as well as post-peak strain softening. Furthermore, it is demonstrated that the model can account for directional dependency of failure behaviour (ie anisotropy) and has the potential to be expanded to environmental controls such as temperature or moisture.CITATION:Gaede, O, Schrank, C, Canbulat, I and Karrech, A, 2014. A strain-based failure criterion for pillar stability analysis, in Proceedings AusRock 2014: Third Australasian Ground Control in Mining Conference , pp 393–398 (The Australasian Institute of Mining and Metallurgy: Melbourne).

Nov 5, 2014

By Guo-Zheng J

This paper describes the risk management strategies adopted to control unstable slopes in the east open pit of the Daye iron ore mine. Extensive experience has been developed over the last 35 years in the management of pit wall instability resulting in the successful excavation and reinforcement of pit slopes over 350 m in height.

Jan 1, 1994

LKAB operates two underground mines in Kiruna and Malmberget, Sweden. Blast furnace pellet is the main product and makes up 70 per cent of total production. The orebodies are hosted by 1910 - 1860 Ma old volcanic rocks. The host rocks and the ores were affected by the Svecokarelian orogeny for 1890 - 1860 Ma ago. The deposit belongs to the Kiruna type apatite-rich iron ore. Magnetite is the main ore mineral but haematite is the dominant ore mineral in some orebodies in the western part of the deposit. Large-scale sublevel caving is the dominant mining method. Three main haulage levels are in operation at present. The ore boundaries and quality can be detected by geophysical logging resulting in reduced waste dilution and subsequent grade reduction. The susceptibility measurements have been used in the magnetite ore since 1991 and gamma-gamma measurements in the haematite ore since 1998. The mining scale has increased during the last 20 years but diamond drilling has remained at approximately 18 000 drilling metres per year. Uncertainties in the ore constructions can lead to unexpected cost increases, ore loss and dilution. The ore boundaries are evaluated with percussion drill holes using in-hole geophysics to achieve satisfactory geological knowledge. The probes are calibrated in all currently mined orebodies. The correlation between core sample assays and measured susceptibility and gamma-gamma values is strong. The cost to determine the ore boundary by percussion drilling with in-hole geophysics is two-thirds lower, and productivity is six times higher compared to diamond drilling. The measurements are made by geotechnicians and the interpretations by a geologist. The results are transferred to a database and presented three dimensionally as holes with iron grade intervals on mine maps. The interpreted holes are used by the geologist in various ways in the geological modelling. Layout planning uses the measurements as a tool to place the drifts at the correct distance from the ore contact especially in the longitudinal sublevel caving and the production hole planning to optimise the final length of the cross-cuts and drifts for best ore recovery.

Jan 1, 2006

By D Misra, R Ganguli, S Bandopadhyay

The objective of this paper is to assess the accuracy and applicability of recent state-of-art methods such as the machine learning algorithms (MLA) for mineral resource estimation. Conventional methods such as geostatistics have been predominantly used in the mining industry for this purpose with varying success. Recent advances in the use of MLA have provided a fresh approach to obtain improved accuracy in the estimation of mineral resources. Two MLA methods: the neural network (NN) and the support vector machine (SVM) have been used to estimate a polymetallic ore deposit in Alaska.The general characteristic of SVM and NN emphasises the fact that they can approximate any multivariate non-linear relation among variables. Although neural network models are able to capture the nonlinear spatial relationships that may be present in the data, they are usually difficult to optimise under sparse data settings. Of the various NN alternatives, despite their effectiveness, the model selection and estimation process is typically difficult as it involves solving complex integration and optimisation of parameters. In support vector modelling (SVM), estimating of parameters involves optimisation of a convex cost function. The working principle of SVM makes it robust against noisy and extreme value data. At the same time, it can capture the spatial distribution of ore grade more effectively with careful modelling and selection of SVM parameters.The outcome of the MLA methods were compared to those of the geostatistical ordinary kriging (OK) application to study their generalisation ability. The comparison was made using the following goodness of fit criteria: mean-squared error; mean absolute error; mean error; and coefficient of determination. The results indicated that the MLA methods may improve the predictability of ore deposits and thereby reduce the inherent risk in mineral resource estimation.

Sep 26, 2011