Apparatus and method for determining axial forces on a drill string during underground drilling
View Patent ↗An apparatus for determining the weight on a drill bit and axial forces along a drill string drilling though an earthen formation. The apparatus comprising an LVDT incorporated into a torsional bearing of a magneto-rheological damping system such that the LVDT senses the relative displacement and accelerations between a bearing mandrel portion and a bearing casing portion of the torsional damper. The LVDT is calibrated with respect to a spring in the damping system that resists relative motion between the bearing mandrel and bearing casing such that the output of the LVDT can be transformed into the force associated with the weight on the drill bit, and the same LVDT accelerations combined with the mass distribution along the drill string to determine axial stresses.
1. In a drill string to which a drill bit is attached for drilling a bore hole in an earthen formation, a method for determining the weight applied to said drill bit, comprising the steps of:
sensing the relative displacement between a first component coupled to said drill bit and a second component in coaxial relationship with the first component, the first component configured to move axially in response to an axial motion of said drill bit, the first and second components containing a fluid there between, wherein the axial motion of said drill bit causes relative axial motion between said first and second components, so as to cause the relative displacement;
generating a signal representative of said sensed relative displacement;
causing a deflection of a spring, the spring operably connected to at least one of the first and second components, the spring configured to oppose said relative axial motion between said first and second components and generate a force in response to the deflection, the spring having a predetermined relationship between the deflection of said spring and the force generated by said spring when subject to the deflection;
determining the value of the force based on said signal representative of said sensed relative displacement and said predetermined relationship of the spring;
determining the value of the viscosity of the fluid;
determining the weight on said drill bit based upon the value of the force and the viscosity of the fluid.
2. The method for determining the weight applied to said drill bit according to claim 1 , wherein said relative displacement is sensed by a transducer.
3. The method for determining the weight applied to said drill bit according to claim 2 , wherein a controller is in electronic communication with the transducer, the controller including a processor, wherein the processor is configured to determine the weight on said drill bit based upon the value of the force and the viscosity of the fluid.
4. The method for determining the weight applied to said drill bit according to claim 1 , wherein a drilling torque is transmitted to said drill bit by said first and second components.
5. The method for determining the weight applied to said drill bit according to claim 4 , wherein said drill string comprises a torsional bearing, and wherein said first component is a casing of said torsional bearing and said second component is a mandrel of said torsional bearing.
6. The method for determining the weight applied to said drill bit according to claim 1 , wherein said spring predetermined relationship is expressed as a ratio representative of the spring constant for said spring, and wherein the step of determining the value of the force comprises multiplying said spring constant by a value representative of a change in said sensed relative displacement.
7. The method for determining the weight applied to said drill bit according to claim 1 , wherein the force is a first force, and wherein a change in said relative displacement between said first and second components is resisted by a second force proportional to the viscosity of said fluid, and wherein the step of determining the weight on said bit further comprises the step of adding the value of said second force to said first force.
8. The method for determining the weight applied to said drill bit according to claim 7 , wherein said fluid is a magnetorheological fluid.
9. The method for determining the weight applied to said drill bit according to claim 8 , further comprising subjecting said magnetorheological fluid to a magnetic field, and wherein the step of determining the viscosity of said magnetorheological fluid comprises determining the strength of said magnetic field.
10. The method for determining the weight applied to said drill bit according to claim 9 , wherein said magnetic field is generated by applying an electrical current to at least one coil, and wherein the step of determining the strength of said magnetic field comprises determining the current applied to said coil.
11. The method for determining the weight applied to said drill bit according to claim 1 , wherein the force is a first force, and wherein the fluid is a magnetorheological fluid, and the method further comprises subjecting said magnetorheological fluid to a magnetic field such that said relative displacement between said first and second components is resisted by a second force having a known relationship to the strength of said magnetic field, and wherein the step of determining the weight on said bit further comprises the step of adding the value of said second force to said first force.
12. The method for determining the weight applied to said drill bit according to claim 1 , wherein the change in said relative displacement between said first and second components is resisted by a magnetic stiffness of the fluid, further comprising the step of determining the magnetic stiffness of the fluid.
13. The method for determining the weight applied to said drill bit according to claim 12 , wherein the change in said relative displacement between said first and second components is resisted by a third force that is proportional to a magnetic stiffness of the fluid, and wherein the step of determining the weight on said bit further comprises the step of adding the value of said third force to said first force and said second force.
14. The method for determining the weight applied to said drill bit according to claim 1 , wherein said spring predetermined relationship between the deflection of said spring and the force generated by said spring when the spring is subjected to deflection is substantially constant or non-linear.
15. In a drill string to which a drill bit is attached for drilling a bore hole in an earthen formation, the drill string comprising a bottom hole assembly and at least one threaded pipe connection, the bottom hole assembly being elongate along an axial direction a method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection, comprising the steps of:
sensing, via at least one sensor incorporated into the bottom hole assembly, the acceleration of a first component along the axial direction, the first component being incorporated into said bottom hole assembly of said drill string;
sensing, via the at least one sensor, a relative displacement between said first component and a second component incorporated into said bottom hole assembly of said drill string, one of said first and second components coupled to said drill bit such that said one of the first and second components moves axially in response to a motion of said drill bit along the axial direction;
generating a signal representative of the relative displacement;
determining the value of the viscosity of a fluid disposed between said first and second components;
determining the weight applied to the drill bit based at least on the signal that is representative of the relative displacement and the viscosity of the fluid; and
determining the force transmitted to the at least one threaded pipe connection based on a mass of the first component, the acceleration of the first component, and the determined weight applied to the drill bit.
16. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 15 , wherein the fluid has a magnetic stiffness, and wherein the step of determining the weight on said drill bit is further based on the magnetic stiffness of the fluid.
17. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 15 , wherein one of the at least one sensor is a transducer.
18. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 15 , wherein a drilling torque is transmitted to said drill bit by said first and second components.
19. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 18 , wherein said drill string comprises a torsional bearing configured to transmit the drilling torque to said drill bit, and wherein said torsional bearing comprises said first and second components.
20. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 19 , wherein said first component is a bearing casing.
21. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 20 , wherein said second component is a bearing mandrel disposed within said bearing casing.
22. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 15 , further comprising causing a deflection of a spring, the spring operably connected to at least one of said first and second components, the spring configured to oppose said relative axial motion between said first and second components and generate a spring force in response to the deflection, the spring having a predetermined relationship between the deflection of said spring and the spring force generated by said spring when subject to the deflection.
23. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 22 , wherein said spring predetermined relationship is expressed as a ratio representative of a spring constant for said spring, and wherein the step of determining the value of said spring force comprises multiplying said spring constant by a value representative of a change in said sensed relative displacement.
24. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 22 , wherein a change in said relative displacement between said first and second components is resisted by a viscous force proportional to the viscosity of said fluid, and wherein the step of determining the weight on said drill bit further comprises the step of adding the value of said viscous force to said spring force.
25. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 24 , wherein said fluid is a magnetorheological fluid.
26. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 25 , further comprising subjecting said magnetorheological fluid to a magnetic field, and wherein the step of determining the viscosity of said magnetorheological fluid comprises determining the strength of said magnetic field.
27. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 26 , wherein said magnetic field is generated by applying an electrical current to at least one coil, and wherein the step of determining the strength of said magnetic field comprises determining the current applied to said coil.
28. The method for determining a force applied to the drill bit that is transmitted to said threaded pipe connection according to claim 22 , wherein the fluid is a magnetorheological fluid, and the method further comprises subjecting said magnetorheological fluid to a magnetic field such that said relative displacement between said first and second components is resisted by a viscous force having a known relationship to the strength of said magnetic field, and wherein the step of determining the weight on said bit further comprises the step of adding the value of said viscous force to said spring force.