Not applicable.
Not applicable.
1. Field of the Invention
This invention relates to the field of wellbore drilling and more specifically to the field of harvesting energy in a wellbore.
2. Background of the Invention
Wells are generally drilled into the ground to recover natural deposits of hydrocarbons and other desirable materials trapped in geological formations in the Earth's crust. A well is typically drilled using a drill bit attached to the lower end of a drill string. The well is drilled so that it penetrates the subsurface formations containing the trapped materials for recovery of the trapped materials. The bottom end of the drill string conventionally includes a bottomhole assembly that has sensors, control mechanisms, and associated circuitry and electronics. As the drill bit is advanced through the formation, drilling fluid (e.g., drilling mud) is pumped from the surface through the drill string to the drill bit. The drilling fluid exits the drill bit and returns to the surface. The drilling fluid cools and lubricates the drill bit and carries the drill cuttings back to the surface. Electrical power is typically used to operate the sensors, circuitry and electronics in the bottomhole assembly. Electrical power is conventionally provided by batteries in the bottomhole assembly. Drawbacks to batteries include maintaining a charge in the batteries. Electrical power has also been conventionally provided by pipe internal mud flow, which may be directed through a turbine with an alternator. Drawbacks to the turbine include location of the turbine in the center of the mud flow, which does not allow downhole tools to pass the turbine.
Consequently, there is a need for an improved method of providing electrical power downhole. In addition, there is a need for an improved method of capturing energy downhole.
These and other needs in the art are addressed in one embodiment by a harvester tool positioned in a wellbore for capturing energy in the wellbore. The harvester tool includes a rotor comprising a magnet. The magnet is disposed eccentric to a center of the harvester tool. In addition, the rotor is rotatable around the center of the harvester tool. The harvester tool also includes a stator. Rotation of the rotor induces a voltage in the stator.
In another embodiment, these and other needs in the art are addressed by a method of capturing energy from a drill string in a wellbore. The method includes providing a harvester tool in the wellbore. The harvester tool comprises a rotor and a stator. The rotor comprises a magnet disposed eccentric to a center of the harvester tool. The method also includes rotating the harvester tool in an eccentric motion. In addition, the method includes rotating the magnet around the center of the harvester tool. The method further includes inducing a voltage in the stator. Rotation of the rotor induces a voltage in the stator.
For a detailed description of the preferred embodiments of the invention, reference will now be made to the accompanying drawings in which:
The foregoing has outlined rather broadly the features and technical advantages of the present invention in order that the detailed description of the invention that follows may be better understood. Additional features and advantages of the invention will be described hereinafter that form the subject of the claims of the invention. It should be appreciated by those skilled in the art that the conception and the specific embodiments disclosed may be readily utilized as a basis for modifying or designing other embodiments for carrying out the same purposes of the present invention. It should also be realized by those skilled in the art that such equivalent embodiments do not depart from the spirit and scope of the invention as set forth in the appended claims.
In an embodiment (not illustrated), rotor 40 is supported by bearings. Any bearings suitable for allowing rotor 40 to freely rotate about harvester tool center 115 may be used. In an embodiment, the bearings are rolling-element bearings such as ball bearings. The ball bearings may be composed of any material suitable for use in a downhole tool. For instance, the ball bearings may be composed of steel, ceramic, and the like. In addition, the ball bearings may have any type of construction suitable for an electrical generator and for allowing rotor 40 to freely rotate about harvester tool center 115 and stator 75. Without limitation, examples of suitable construction include caged bearings, cone construction bearings, and cup and cone ball bearings.
It is to be understood that the speed of rotor 40 relative to stator 75 may define the induced stator voltage generated by harvester tool 15. In an embodiment in which the induced voltage drives a load current, a load torque on rotor 40 is created that is proportional to the load current. It is to be further understood that an eccentric mass (e.g., magnet 45) coupled to a rotating harvester tool 15 may spin relative to rotating harvester tool 15 in an embodiment in which harvester tool 15 follows an eccentric motion such as rolling along wellbore wall 90 as shown in
The eccentric mass or masses provide an unbalanced rotor 40. The eccentric masses may be magnet 45 and/or eccentric mass 55. In an embodiment, the energy transfer from the inertia of unbalanced rotor 40 in harvester tool 15 that is rotating along wellbore wall 90 may be determined from an energy transfer model. Without limitation, energy transfer of harvester tool 15 may be more efficient with a higher overall imbalance. It is to be understood that the model assumes an eccentric mass point with an equivalent inertia that has a stiff coupling to harvester tool center 115. The energy transfer model may be derived from a coupled two mass system 150 as illustrated in
(m1+m2)l12{umlaut over (Φ)}1+m2l1l2{umlaut over (Φ)}2 cos(Φ1−Φ2)+m2l1l2{dot over (Φ)}22 sin(Φ1−Φ2)=τa Equation (1)
In Equation (1), Φ1 is the angle of stiff connection 155 in relation to fixed point P, and Φ2 is the angle of eccentric mass stiff connection 160 in relation to mass m1. It is to be understood that {dot over (Φ)}1 and {dot over (Φ)}2 are the first derivatives to time, respectively, and {umlaut over (Φ)}1 and {umlaut over (Φ)}2 are the second derivatives to time, respectively. Mass m2 is accelerated by load torque τ1. Load torque τ1 is determined by Equation (2).
m
2
l
2
2{umlaut over (Φ)}2+m2l1l2{umlaut over (Φ)}1 cos(Φ1−Φ2)−m2l1l2{dot over (Φ)}12 sin(Φ1−Φ2)=τ1 Equation (2)
Equations (1) and (2) describe actuation torque τa and load torque τ1 for two coupled free masses. To describe the load torque τ1 for an eccentric mass (e.g., magnet 45 or eccentric mass 55) in rotating harvester tool 15, additional constraints are considered. Additional constraints include rotation of harvester tool 15 not being a free rotation but instead being defined by conditions such as conditions of wellbore 85 and drill string 5. For instance, such conditions may include forces at the surface of wellbore 85. The conditions may also include interactions between bottomhole assembly 10 components (e.g., centralizers) and wellbore wall 90. Without being limited by theory, motion of the eccentric mass is dependent upon motion of harvester tool 15, but motion of the eccentric mass has substantially no impact on motion of harvester tool 15. Therefore, to describe the load torque τ1 for an eccentric mass (e.g., magnet 45 or eccentric mass 55), the solution of Equation (2) may be used instead of Equation (1). Without being limited by theory, the solution of Equation (2) may be used because Equation (1) describes the dependency of harvester tool 15 angular acceleration on a coupled mass motion or load. Further, without being limited by theory, Equation (1) may only provide actuation torque τa as a response to a load torque τ1.
−m2l1l2 {dot over (Φ)}12 sin(Φ1−Φ2)=−τ1 Equation (3)
The steady state solution of Equation (2) to provide Equation (3) is shown by Equations (4)-(7), which provide Equation (3) when applied to Equation (2). It is to be understood that the second derivative is zero for the steady state.
It has been found that the eccentric mass m2 (e.g., magnet 45 or eccentric mass 55) follows the motion of harvester tool center 115 with a −180° phase shift in an embodiment in which no load is applied. For 0° and 180°, load torque τ1 is zero, which provides sin(Φ1−Φ2) at zero. In an embodiment in which load torque τ1 is applied, the angle difference (Φ1−Φ2) is reduced because the angle difference follows the load torque τ1 in Equation (7). In such an embodiment, the maximum value of load torque τ1 (τ1max) is determined by Equation (8). It is to be understood that the maximum value occurs when sin(Φ1−Φ2)=1, as the sinus cannot be larger than one. Without being limited by theory, if load torque τ1 is too large, the eccentric mass has no motion relative to harvester tool 15 and will stall at a 90° angle.
m2l1l2ω12=τ1max Equation (8)
It has also been found that at an increased load torque τ1, angular velocity ω2 may stop following angular velocity ω1 and may be substantially similar to angular velocity ωC. In an embodiment in which stator 75 is rotating at the velocity of harvester tool 15, voltage is not induced. It is to be understood that when there is no relative motion between magnet 45 and harvester tool 15, no voltage is generated and both rotate relative to the outside at ωc. In addition, the angle between Φ1 and Φ2 is Φ1−Φ2, which varies as a function of load torque τ1. Therefore, the maximum steady state load torque τ1 achieved when sin(Φ1−Φ2) is 1. Equation (9) is the steady state solution at maximum load torque τ1max of Equation (2) for eccentric motion of harvester tool 15 in wellbore 85 (e.g., rolling along wellbore wall 90). Equations (10)-(11) are applied to Equation (2) to provide Equation (9).
The power output Pmax of harvester tool 15 for a given load torque τ1 may be determined by applying the result of Equation (9) to Equation (12).
P
max=τ1ω2(1+(RC/RB)2) Equation (12)
In an embodiment, as shown by Equations (9)-(12), an increase in the weight of mass m2 results in an increase in the power output Pmax as determined by Equation (12).
In other embodiments, load torque τ1 corresponds to load current Iload that is in phase with the induced open terminal voltage Uind. Without being limited by theory, in permanent magnet alternators, the alternative phase current is proportional to the load torque. Iload and Uind are determined by Equations (13) and (14), respectively.
In Equations (13) and (14), KC refers to the voltage constant (i.e., in V/(rad/s), and Kt refers to the torque constant (i.e., in Nm/A). It is to be understood that tt refers to the terminal phase to phase voltage, with a Y configuration of a three phase alternator assumed. τ1max refers to maximum load torque, which is determined by Equation (8).
In some embodiments, additional power Padd is available for harvester tool 15. For instance, gravity has an impact on the additional power Padd available. Gravity has the impact dependent on inclination of harvester tool 15. Therefore, a rotating harvester tool 15 with inclination angle θ may drive load torque τ1 as determined by Equation (15).
m
2
l
2 sin(θ)<τ1 Equation (15)
Because the rotating harvester tool 15 with inclination angle θ may drive load torque θ1, the additional power Padd is available to harvester tool 15 as shown by Equation (16). θ is the inclination of harvester tool 15 relative to the gravity field. For instance, 90° refers to a horizontal well, and 0° refers to a vertical well.
ωcm2l2 sin(θ)<Padd Equation (16)
Harvester tool 15 may harvest various types of kinetic energy in drill string 5. For instance, the rolling motion along wellbore wall 90 is modeled by Equations (9)-(11). Without being limited by theory, the actual drilling induced motion of harvester tool 15 may not be as continuous and smooth as shown by the theoretical model of Equations (9)-(11). Further, without being limited by theory, the rough and erratic contacts in wellbore 85 may result in a more efficient ability to transfer energy than modeled by the equations. For instance, shocks applied from various angles may generate forces on the eccentric mass (e.g., magnet 45 or eccentric mass 55) that may drive electric loads.
It is to be understood that harvester tool 15 is not limited to stator 75 disposed within interior 125 of rotor 40. In alternative embodiments (not illustrated), rotor 40 may be disposed within an interior of stator 75.
In an alternative embodiment (not illustrated), magnet 45 is embedded in an orthogonal axis with stator windings 72 in an opposite direction.
Power provided by harvester tool 15 may be used for any suitable power need in drill string 5. For instance, harvester tool 15 may provide power to logging-while-drilling tools and measuring-while-drilling tools. In some embodiments, harvester tool 15 may be used in areas of drill string 5 not available for power supply from a turbine. In an embodiment, harvester tool 15 may be used to charge batteries.
In some embodiments, the geometry of harvester tool 15 is optimized. For instance, actual drilling data may be used (i.e., actual acceleration and rotational measurements may be made). From the data log of such data, the maximum energy transfer may be modeled. An alternator (i.e., harvester tool 15) may be designed to the resulting speed and torque range, with the requirement for the voltage regulation of the alternator output voltage desired.
To further illustrate various illustrative embodiments of the present invention, the following prophetic example is provided.
In the prophetic example, the resulting power was determined for harvester tool 15 rolling in wellbore 85 as shown by the model of
τ1=1 kg*0.023 m*0.055 m*(9*4*7)2*(0.17 m/0.216 m)2=0.278 Nm
The determined load torque τ1 of 0.278 Nm was applied to Equation (12) to determine Pmax as shown by the following determination.
P
max=0.278*3*2*π*(1+(0.17/0.216)2)=8.5 W
A further determination was made with ω2 of 300 rpm, which using Equations (9) and (12) resulted in a load torque τ1 of 0.773 Nm and resulting power Pa of 40 W. The increase in ω2 resulted in an increase in the resulting power levels.
Although the present invention and its advantages have been described in detail, it should be understood that various changes, substitutions and alterations may be made herein without departing from the spirit and scope of the invention as defined by the appended claims.