تخمین عیار طلا در کانسار خونی با استفاده از بررسی رفتار عناصر طلا، آرسنیک و آنتیموان به روش خوشه بندی K-Means.

محدوده اکتشافی خونی در270 کیلومتری استان اصفهان در منطقه انارک و در زون ایران مرکزی واقع شده است. با توجه به وجود شواهدی حاکی از کانی‌سازی طلا در این ناحیه، شناسایی نواحی امید بخش معدنی در این منطقه ضروری است. بنابراین ضرورت یافتن اطلاعاتی در مورد ارتباط و چگونگی رفتار عناصر طلا، آرسنیک و آنتیموان نسبت به یکدیگر در این محدوده، برای پیدایش و تعیین وسعت هاله های ژئوشیمیایی، تعیین امیدبخش بودن منطقه و تخمین عیار اهمیت می یابد و باید مورد بررسی قرار گیرند. بدین منظوردر تحقیق حاضر برای تعیین رفتار عناصر نام برده، با استفاده از روش معروف و کارآمد k-means انجام می‌شود که یکی از روش های خوشه بندی بوده و مبتنی بر کمینه نمودن مجموع فواصل اقلیدسی هر یک از نمونه ها از مرکز دسته ای که به آن تخصیص می‌یابد، است. در این پژوهش از تابع کیفیت خوشه بندی و میزان مطلوبیت نمونه در خوشه مورد نظر (s(i))، برای تعیین تعداد خوشه بهینه استفاده شده است و در پایان با توجه به مراکز خوشه ها و نتایج حاصل، معادله ای جهت تخمین عیار عنصر طلا بر حسب چهار پارامتر عیار آرسنیک، عیار آنتیموان، طول و عرض نقاط نمونه‌برداری ارائه می‌شود.

Estimation of grade Gold in khooni deposit using the behavior of gold, Arsenic and Antimony elements by clustering kmeans method.

Summary Khooni exploratory area is located at 270 kilometers of Esfahan, and belongs to Central Iran geological zone. According to some instances expressing gold mineral forming in this area, make reconnaissance of favorable area as an essential fact. A wellknown algorithm of clustering is KMeans by which the data are divided into K clusters on the basis of distance. In this analysis, using the KMeans method to classify the sampling of khooni district for Gold, Arsenic and Antimony elements. The optimal K value was determined and then the data were clustered and the behavioral characteristics were analyzed, and at the end relationships and equations with correlation coefficients were identified and the grade of gold were estimated based on four parameters Arsenic, Antimony content; length and width of the sampling points.   Introduction There are many methods to estimate the grade because of mining projects have high dependency to determine the tonnage accurately. One of the new methods of estimating the grade is clustering. Thus, it is necessary to find information about the relationships and behavior elements of Gold, Arsenic and Antimony to each other. in this area to determine the extent of the geochemical halo and to identify favorable area as well as estimation.   Methodology and Approaches In this study fordetermination the behavior of the mentioned elements, the famous and efficient method of KMeans, which is one of the clustering methods, are used, that is based on minimizing total of Euclidean distance from the center each class. For this purpose, the quality function and silhouette criterion have been used to determine the optimal number of clusters. All data ranged the number of classes from k=3 to k=10 and afterwards the optimumnumber of clusters were selected by mentioned methods. At the end, according to the Center of clusters, the equation for estimating the grade of gold is provided. In this study, MATLAB and SPSS software are used to achieve results.   Results and Conclusions The relationship of gold, arsenic and antimony according to length and width of the sampling points were determined for estimation grade of gold, Results showed that clustering with k=5 in case of Au, As and Sb were better than other classes number in each case. Obtained equation for estimating grade of gold element based on four parameters Arsenic, Antimony content; length and width of the sampling points, is  and the correlation coefficient 73% is reported. Also to evaluate the accuracy of the estimator, the results were validated. Estimated gold element values almost match with actual values of gold element that represents the accuracy of the used method.