Analytical research and classification of mechanism of diamond drilling-bits contact with rocks during well sinking

Calculating the correct number of the diamonds and making practical recommendations during the diamond bit applications are of great importance. The recommendations are usually made based on the assumption that the diamond matrix and the bottomhole are flat bodies. However, this assumption may lead to significant errors in the calculation of the number of diamonds in contact with the rock and projections during the diamond bit applications. In this work, the calculations are made based on the assumption that the contact between the diamonds and the rock surface has a curved structure. The results show that the diamonds located along several cutting circumferences may be in contact with the rock surface. In this case, the number of diamonds of one cutting line in contact with the hole will not depend on the size of the diamond matrix of the other cutting line and is determined by the degree of bottomhole roughness and the amount of diamond protrusion from the matrix along each cutting circumference.