ارائه روشي جديد به منظور تعيين حداقل تعداد نمونه لازم براي موازنه جرم مدارهاي فرآوري بدون تشكيل ماتريس ارتباط

Determining of Minimum Sampling Points Required for Mass Balancing of Mineral Processing Plants without Developing the Connection Matrix

ﮐﺎراﯾﯽ ﻣﺪارﻫﺎي ﻓﺮآوري ﺑﺮ اﺳﺎس ﺗﻮزﯾﻊ ﻣﻮاد ﻣﺨﺘﻠﻒ در ﺑﺨﺸﻬﺎ و ﺟﺮﯾﺎﻧﻬﺎي ﻣﺨﺘﻠﻒ ﻣﺪار ارزﯾﺎﺑﯽ ﻣﯽﺷﻮد. اﻃﻼﻋﺎت ﭘﺎﯾﻪ ﺑـﺮاي اﯾﻨﮕﻮﻧـﻪ ﺑﺮرﺳﯿﻬﺎ ﮐﻪ ﻣﻮازﻧﻪ ﺟﺮم ﻧﺎﻣﯿﺪه ﻣﯽﺷﻮد ﻋﺒﺎرﺗﻨﺪ از ﻋﯿﺎر ﻣﻮاد ﺑﺎارزش، رﻃﻮﺑﺖ، ﺗﻨﺎژ ﻣـﻮاد و ﻏﯿـﺮه. ﺑـﺎ ﺗﻮﺟـﻪ ﺑـﻪ اﯾﻨﮑـﻪ ﻧﻤﻮﻧـﻪ ﺑـﺮداري از ﺟﺮﯾﺎﻧﻬﺎي ﻣﺨﺘﻠﻒ ﻣﺪار ﺑﺮاي اﻧﺪازهﮔﯿﺮي ﮐﻠﯿﻪ ﭘﺎراﻣﺘﺮﻫﺎي ﻣﻮازﻧﻪ ﺟﺮم در ﻋﻤﻞ ﻏﯿﺮﻣﻤﮑﻦ و ﻏﯿﺮاﻗﺘﺼﺎدي اﺳﺖ، در ﻧﺘﯿﺠﻪ ﺑﺎﯾﺪ ﺑﺎ ﮐﻤﺘﺮﯾﻦ ﺗﻌﺪاد ﻧﻤﻮﻧﻪﺑﺮداري، اﻃﻼﻋﺎت ﻻزم ﺟﻬﺖ ﻣﻮازﻧﻪ ﺟﺮم ﮐﺎﻣﻞ ﻣﺪار را ﺗﻬﯿﻪ ﻧﻤﻮد. در روش ﻣﺘﺪاول، ﺣﺪاﻗﻞ ﺗﻌﺪاد ﺟﺮﯾﺎﻧﯽ ﮐـﻪ ﺑﺎﯾـﺪ ﻧﻤﻮﻧـﻪ ﺑﺮداري ﺷﻮﻧﺪ ﺑﺎ اﺳﺘﻔﺎده از ﺗﻌﺪاد ﺟﺮﯾﺎﻧﻬﺎي ﺧﻮراك ورودي ﺑﻪ ﻣﺪار و ﺗﻌﺪاد ﮔﺮهﻫﺎي ﺟﺪاﮐﻨﻨﺪه ﺳﺎده ﻣﺤﺎﺳﺒﻪ ﻣﯽﺷﻮد ﮐﻪ اﯾﻦ دو ﭘﺎراﻣﺘﺮ ﺑﺎ اﺳﺘﻔﺎده از ﻣﺎﺗﺮﯾﺲ ارﺗﺒﺎط اﺟﺰاء ﻣﺨﺘﻠﻒ ﻣﺪار ﺑﻪ دﺳﺖ ﻣﯽآﯾﺪ. ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ اﯾﻨﮑﻪ ﺗﺸﮑﯿﻞ ﻣﺎﺗﺮﯾﺲ ارﺗﺒﺎط ﺑﺮاي ﻣﺪارﻫﺎي ﭘﯿﭽﯿﺪه ﺑﺴـﯿﺎر دﺷﻮار ﻣﯽﺷﻮد، در اﯾﻦ ﭘﮋوﻫﺶ، روﺷﯽ ﺳﺎده و ﺳﺮﯾﻊ اراﺋﻪ ﺷﺪه اﺳﺖ ﮐﻪ ﺗﻨﻬﺎ ﺑﺎ اﻃﻼع از ﺗﻌﺪاد ﮐﻞ ﺟﺮﯾﺎﻧﻬـﺎي ﻣـﺪار و ﺗﻌـﺪاد ﮔـﺮه ﻫـﺎي ﺗﺸﮑﯿﻞ دﻫﻨﺪه آن و ﺑﺪون ﺗﺸﮑﯿﻞ ﻣﺎﺗﺮﯾﺲ ارﺗﺒﺎط ﺑﺘﻮان ﺣﺪاﻗﻞ ﺗﻌﺪاد ﻧﻤﻮﻧـﻪ ﻻزم را ﺗﻌﯿـﯿﻦ ﻧﻤـﻮد. ﻣﻘﺎﯾﺴـﻪ روش اراﺋـﻪ ﺷـﺪه ﺑـﺎ روش ﻣﺘﺪاول ﺗﺸﮑﯿﻞ ﻣﺎﺗﺮﯾﺲ ﺑﺮاي ﭼﻨﺪ ﻧﻤﻮﻧﻪ ﻣﺪار ﺳﺎده و ﭘﯿﭽﯿﺪه، ﺑﺮﺗﺮي روش اراﺋﻪ ﺷﺪه را اﺛﺒﺎت ﻧﻤﻮد.

Mass balancing of mineral processing plants is performed referring to how material distributes to different parts of the circuit. Raw data required for the creation of mass balancing equations includes valuable assay, moisture, mass rates, etc. Since running a complete sampling program to obtain all required information from all streams of the circuit is actually and economically impossible, a minimum number of streams should be determined to conduct a comprehensive mass balancing. In conventional approach, this value is calculated using the numbers of feed streams as well as single splitting nodes obtained from a matrix presenting the relationship between these streams and nodes. Developing such a connection matrix for complicated circuits is very difficult; therefore, the present study is aimed to introduce a simple equation to calculate the minimum number of sampling points using the knowledge of the total number of streams and nodes included in the circuit. Comparing results for different flotation circuits confirmed the superiority of new method over the conventional one from both simplicity and rapidness points of view.