A drag bit includes a blade extending from the bit body and supporting inner cutters proximate the longitudinal axis and outer cutters spaced from the longitudinal axis. The inner cutters are rotationally offset from the outer cutters. During operation the inner cutters deposit cut material in a channel that is contiguous with a channel that receives material cut by the outer cutters. The cutters and the contiguous channels flush agglomerating material from the slots.

A core drill bit can include a first region and a second region. The first region can include abrasive particles in a first bond matrix, and the second region can include abrasive particles in a second bond matrix. The first region is connected to the second region. A composition of the first bond matrix can be different from a composition of the second matrix. In a particular embodiment, the first bond matric can include a Co-containing material.

A core drill bit can include a first region and a second region. The first region can include abrasive particles in a first bond matrix, and the second region can include abrasive particles in a second bond matrix. The first region is connected to the second region. A composition of the first bond matrix can be different from a composition of the second matrix. In a particular embodiment, the first bond matric can include a Co-containing material.

Drilling tools, such as drill bits, having a shank, a crown, and a plurality of abrasive cutting elements. In the case of impregnated drilling tools, the abrasive cutting elements are dispersed throughout at least a portion of the crown. In the case of surface-set drilling tools, the abrasive cutting media is secured to and projects from a cutting face of the crown. The matrix of the crown of the drilling tools includes a carbide-forming alloy that forms a direct carbide bond with at least one cutting element of the plurality of abrasive cutting elements.

Drilling tools, such as drill bits, having a shank, a crown, and a plurality of abrasive cutting elements. In the case of impregnated drilling tools, the abrasive cutting elements are dispersed throughout at least a portion of the crown. In the case of surface-set drilling tools, the abrasive cutting media is secured to and projects from a cutting face of the crown. The matrix of the crown of the drilling tools includes a carbide-forming alloy that forms a direct carbide bond with at least one cutting element of the plurality of abrasive cutting elements.

A drill bit comprises a first and a second body received within the first body. Each of the first body and second body has a respective crown, each crown having an inner and an outer operative circumference. The outer operative circumference of the second body and the inner operative circumference of the first body can define a first volume that can receive a tubular core sample. The second body can define a break surface that breaks the tubular core sample into core pieces. The drill bit can be employed in a borehole with a reverse circulation system that pumps fluid around an outer surface of the bit, and returning fluid can carry the core pieces out of the borehole.

A tool for drilling subterranean formations includes a tool body having a face surface, a blade extending radially outward on the face surface toward a gage surface, and a plurality of cutting structures disposed in the blade. Each of the plurality of cutting structures comprises a substantially spherical body of particulate impregnated matrix material. A method of forming the tool includes forming a tool body having the plurality of cutting structures dispersed therein. A method of using the tool includes rotating the earth-boring tool within a wellbore and engaging a formation material of an earth formation with an outer surface of the blade and wearing the outer surface of the blade to expose the spherical cutting structure. After wearing the outer surface of the blade, the method includes engaging the earth formation with the spherical cutting structure.

A tool for drilling subterranean formations includes a tool body having a face surface, a blade extending radially outward on the face surface toward a gage surface, and a plurality of cutting structures disposed in the blade. Each of the plurality of cutting structures comprises a substantially spherical body of particulate impregnated matrix material. A method of forming the tool includes forming a tool body having the plurality of cutting structures dispersed therein. A method of using the tool includes rotating the earth-boring tool within a wellbore and engaging a formation material of an earth formation with an outer surface of the blade and wearing the outer surface of the blade to expose the spherical cutting structure. After wearing the outer surface of the blade, the method includes engaging the earth formation with the spherical cutting structure.

A drag bit includes a blade extending from the bit body and supporting inner cutters proximate the longitudinal axis and outer cutters spaced from the longitudinal axis. The inner cutters are rotationally offset from the outer cutters. During operation the inner cutters deposit cut material in a channel that is contiguous with a channel that receives material cut by the outer cutters. The cutters and the contiguous channels flush agglomerating material from the slots.

An earth-boring tool may include a body and at least one rotatable cutting structure assembly. The rotatable cutting structure assembly may include a leg, a rotatable cutting structure rotatably coupled to the leg, and a resistance actuator configured to impose rotational resistance on the rotatable cutting structure relative to the leg. An earth-boring to may include a plurality of rotatable cutting structure assemblies coupled to the bit body and a plurality of blades coupled to the body. A method of drilling a borehole may include rotating an earth-boring tool within the borehole, causing rotational resistance to be imposed on at least one rotatable cutting structure of the earth-boring tool, causing a blade of the earth-boring tool to be pushed into a sidewall of the borehole, and side cutting the sidewall of the borehole with the blade.