Facing with joints, faults, fractures and discontinuous surfaces is an inevitable issue in exploitation of the dimensional stone mines. The increase in their concentraction have a great impact on their mining operation. Therefore, without a comprehensive realization of discontinious surfaces, these would a considerable increase in waste production. The marketable portion of the dimentional stone deposite are the blocks that not only have good quality, but also froms mass with acceptable dimentions. The wastes in such mines are due to these natural breaks in the rocks and in spite of existance of these criteria, whole operation does not yield acceptable revenue. Lack of athention this issue and studing the discontinuties has resulted in waste production which ends in lower profit and environmental disasters. Some researches are directed towards dimentional stone reserve estimation, but they have only considered regular and limited fractures. Additionaly they have not studied the operating phase. This research is aimed to evaluate the effects of both of the fractures and operating phase orientation in order to minimize the waste and increase the efficiency of the mining operation. In this research, based on the geometrical properties of fractures the marketable amount of the deposite to be calculated and waste production to be minimited by mining methods. For this purpose first, joints and fractures are generated randomly and then volume of the blocks between the fractures are calculated.