PERFORATING TOOL WITH A HYDRAULICALLY ACTUATED ASSEMBLY
20250327383 ยท 2025-10-23
Inventors
- Osman Hamid (Richmond, TX, US)
- Hussain Khalifa Al-Dakheel (Dammam, SA)
- Gallyam Aidagulov (Dhahran, SA)
- Murtadha J. AlTammar (Dhahran, SA)
- Khalid Mohammed M. Alruwaili (Dammam, SA)
Cpc classification
E21B43/114
FIXED CONSTRUCTIONS
International classification
Abstract
Devices, systems, and methods for a bottom hole assembly to form perforations are provided. An abrasive jet perforating tool is configured to couple to a downhole conveyance that is extendable from a terranean surface, through a wellbore, and to a subterranean formation. The abrasive jet perforating tool is configured to inject abrasive particles along a radial direction to create perforations in the subterranean formation. A hydraulically actuated subassembly is attached to the abrasive jet perforating tool and configured to move the abrasive jet perforating tool towards or away from the subterranean formation along the radial direction.
Claims
1. A bottom hole assembly to form perforations, comprising: an abrasive jet perforating tool configured to couple to a downhole conveyance that is extendable from a terranean surface, through a wellbore, and to a subterranean formation, the abrasive jet perforating tool comprising one or more jet nozzles configured to inject abrasive particles along a radial direction to create perforations in the subterranean formation; and a hydraulically actuated subassembly attached to the abrasive jet perforating tool and configured to move the abrasive jet perforating tool towards and retract the abrasive jet perforating tool away from the subterranean formation along the radial direction; wherein the hydraulically actuated subassembly comprises one or more cylinders disposed on a side opposite of and facing away from the one or more jet nozzles, the one or more cylinders configured to extend to move the abrasive jet perforating tool and the one or more jet nozzles toward the subterranean formation in the radial direction, and each of the one or more cylinders are configured to retract to allow the abrasive jet perforating tool and the one or more jet nozzles to move away from the subterranean formation in the radial direction.
2. The bottom hole assembly of claim 1, wherein the one or more cylinders are one or more telescopic cylinders each having a plurality of stages configured to sequentially extend or retract along the radial direction.
3. The bottom hole assembly of claim 1, wherein the hydraulically actuated subassembly is configured to move the abrasive jet perforating tool towards the subterranean formation in response to a first fluid pressure and retract the abrasive jet perforating tool away from the subterranean formation in response to a second fluid pressure.
4. The bottom hole assembly of claim 3, wherein the first fluid pressure is higher than the second fluid pressure.
5-6. (canceled)
7. A bottom hole assembly to form perforations, comprising: a top subassembly configured to couple to a downhole conveyance that is extendable from a terranean surface, through a wellbore, and to a subterranean formation; an abrasive jet perforating tool configured to couple to the downhole conveyance and inject abrasive particles along a radial direction to create perforations in the subterranean formation; a telescopic jet nozzle attached to the abrasive jet perforating tool and configured to direct the abrasive particles out of the abrasive jet perforating tool, the telescopic jet nozzle configured to perform a first blasting to create an initial hole in the subterranean formation, and the telescopic jet nozzle configured to move towards or away from the initial hole along the radial direction and perform a second blasting to form a perforation; and at least one cylinder attached to the abrasive jet perforating tool and disposed on a side opposite of and facing away from the telescopic jet nozzle, the at least one cylinder configured to extend to move the abrasive jet perforating tool and the telescopic jet nozzle towards the initial hole in the radial direction, and the at least one cylinder is configured to retract to allow the abrasive jet perforating tool and the telescopic jet nozzle to move away from the initial hole in the radial direction.
8. The bottom hole assembly of claim 7, wherein a movement of the telescopic jet nozzle is configured to be hydraulically controlled by fluid pressure.
9. The bottom hole assembly of claim 8, wherein the hydraulically actuated subassembly comprises a telescopic jet nozzle configured to move towards the subterranean formation in response to a first fluid pressure and retract away from the subterranean formation in response to a second fluid pressure.
10. The bottom hole assembly of claim 9, wherein the first fluid pressure is higher than the second fluid pressure.
11. The bottom hole assembly of claim 9, wherein the telescopic jet nozzle is configured to extend into one of the perforations in response to the first fluid pressure.
12. The bottom hole assembly of claim 9, wherein the telescopic jet nozzle comprises a plurality of stages configured to sequentially extend or retract along the radial direction.
13. A method to form perforations, comprising: positioning a bottom hole assembly into a wellbore formed from a terranean surface into a subterranean formation, the bottom hole assembly comprising an abrasive jet perforating tool, and a hydraulically actuated subassembly attached to the abrasive jet perforating tool, the hydraulically actuated subassembly comprises one or more jet nozzles and one or more cylinders disposed on a side opposite of and facing away from the one or more jet nozzles; operating, at a first standoff distance, the abrasive jet perforating tool to perform a first blasting to create initial holes; in response to a first fluid pressure, moving, by extending the one or more cylinders, the abrasive jet perforating tool and the one or more jet nozzles towards the initial holes; operating, at a second standoff distance, the abrasive jet perforating tool to perform a second blasting towards the initial holes to create perforations in the subterranean formation; and in response to a second fluid pressure, retracting, by retracting the one or more cylinders, the abrasive jet perforating tool and the one or more jet nozzles away from the perforations.
14. The method of claim 13, wherein the comprises one or more cylinders are one or more telescopic cylinders each having a plurality of stages configured to sequentially extend or retract along a radial direction.
15. The method of claim 13, wherein one or more jet nozzles are one or more telescopic jet nozzle-nozzles configured to direct abrasive particles out of the abrasive jet perforating tool and move towards and away from the subterranean formation along a radial direction.
16. The method of claim 15, wherein the one or more telescopic jet nozzles comprises a plurality of stages configured to sequentially extend or retract along the radial direction.
17. The method of claim 15, further comprising extending the one or more telescopic jet nozzles into one of the initial holes in the subterranean formation.
18. The method of claim 13, wherein the first fluid pressure is higher than the second fluid pressure.
19. The method of claim 13, wherein the perforations are deeper and wider than the initial holes.
20. The method of claim 13, wherein the second standoff distance is shorter than the first standoff distance.
21. A bottom hole assembly to form perforations, comprising: an abrasive jet perforating tool configured to couple to a downhole conveyance that is extendable from a terranean surface, through a wellbore, and to a subterranean formation, the abrasive jet perforating tool configured to inject abrasive particles along a radial direction to create perforations in the subterranean formation; and a hydraulically actuated subassembly attached to the abrasive jet perforating tool and configured to move the abrasive jet perforating tool towards and retract the abrasive jet perforating tool away from the subterranean formation along the radial direction; wherein the hydraulically actuated subassembly comprises a telescopic jet nozzle configured to move radially towards and away from the subterranean formation, and the hydraulically actuated subassembly comprises a pair of telescopic cylinders that are respectively positioned on opposite sides of the abrasive jet perforating tool along the radial direction, and the pair of telescopic cylinders are configured to respectively extend along opposite directions, and a first telescopic cylinder of the pair of telescopic cylinders is configured to move the abrasive jet perforating tool towards the subterranean formation, and a second telescopic cylinder of the pair of telescopic cylinders is configured to retract the abrasive jet perforating tool away from the subterranean formation.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0025]
[0026]
[0027]
[0028]
[0029]
[0030]
[0031] It is to be understood that the various exemplary implementations shown in the figures are merely illustrative representations and are not necessarily drawn to scale.
DETAILED DESCRIPTION
[0032] Perforating tools, e.g., perforating guns or abrasive jet perforating tools, are used in the oil and gas industry for creating perforation cluster in well casings and surrounding formations. Abrasive jet perforating tool includes nozzles that direct a mixture of high-pressure fluid and abrasive particles toward the target area. In operation, the nozzles are often placed in a location in the wellbore facing the target at a fixed standoff distance. Perforating guns can include shaped charges and a perforating gun body. Shaped charges are positioned at specific angles within the gun body and configured to direct high-pressure and high-velocity jets of metal particles toward the well casing and the surrounding rock formation. Abrasive jet perforating tools, with their high fluid flux combined with abrasive particles, offer the advantage of generating perforations of large diameters and free of compaction zones, compared to perforating guns. On the other hand, the perforating guns can create deeper perforations.
[0033] This disclosure describes a bottom hole assembly to form wider, deeper and/or consistent perforations. In some aspects, the bottom hole assembly to form perforations includes an abrasive jet perforating tool configured to couple to a downhole conveyance that is extendable from a terranean surface, through a wellbore, and to a subterranean formation. The abrasive jet perforating tool is configured to inject abrasive particles along a radial direction to create perforations in the subterranean formation. The bottom hole assembly also includes a hydraulically actuated subassembly attached to the abrasive jet perforating tool. The hydraulically actuated subassembly is configured to move the abrasive jet perforating tool or nozzles towards or away from the subterranean formation along the radial direction. The hydraulically actuated subassembly can also be referred as hydraulically actuated assembly in this disclosure.
[0034] Implementations of the present disclosure can provide one or more of the following technical advantages. For example, the techniques described herein can adjust nozzle standoff distances after the initial penetration is formed by a perforating tool. The standoff distance can be reduced by bringing a perforating tool and/or a jetting nozzle closer to the initial perforation cavity. In example implementations, the jetting nozzle head can be inserted inside the perforation cavity. The movement of the perforating tool and/or a jetting nozzle towards the formation can be controlled by a hydraulically actuated subassembly. In an example, the hydraulically actuated subassembly includes a telescopic cylinder that pushes the perforating tool closer to the initial perforations to form deeper and/or wider perforations. In another example, the hydraulically actuated subassembly includes a telescopic jet nozzle, which is configured to extend towards or retract away from the formations. With an adjustable standoff distance, the perforating tool can better focus the abrasive particles into the initial perforations to form a deeper and wider perforations. The deeper and wider perforations can create a weak point in the wellbore which facilitates creation of fractures in the formation at a lower pressure.
[0035]
[0036] As shown, the wellbore system 110 accesses a subterranean formation 140 that provides access to hydrocarbons located in such subterranean formation 140. A drilling assembly (not shown) may be used to form the wellbore 120 extending from the terranean surface 112 and through one or more geological formations in the Earth. One or more subterranean formations, such as subterranean formation 140, are located under the terranean surface 112. As will be explained in more detail below, one or more wellbore casings, such as an intermediate casing 130 and production casing 135, may be installed in at least a portion of the wellbore 120. In example implementations, a drilling assembly used to form the wellbore 120 may be deployed on a body of water rather than the terranean surface 112. For instance, in example implementations, the terranean surface 112 may be an ocean, gulf, sea, or any other body of water under which hydrocarbon-bearing formations may be found. In short, reference to the terranean surface 112 includes both land and water surfaces and contemplates forming and developing one or more wellbore systems 110 from either or both locations.
[0037] In example implementations of the wellbore system 110, the wellbore 120 may be cased with one or more casings. As illustrated, the wellbore 120 includes a conductor casing 125, which extends from the terranean surface 112 shortly into the Earth. A portion of the wellbore 120 enclosed by the conductor casing 125 may be a large diameter borehole. Additionally, in example implementations, the wellbore 120 may be offset from vertical (for example, an inclined wellbore). Even further, in example implementations, the wellbore 120 may be a stepped wellbore, such that a portion is drilled vertically downward and then curved to a substantially horizontal wellbore portion. Additional substantially vertical and horizontal wellbore portions may be added according to, for example, the type of terranean surface 112, the depth of one or more target subterranean formations, the depth of one or more productive subterranean formations, or other criteria.
[0038] Downhole of the conductor casing 125 can be the intermediate casing 130. The intermediate casing 130 may enclose a slightly smaller borehole and protect the wellbore 120 from intrusion of, for example, freshwater aquifers located near the terranean surface 112. The wellbore 120 may than extend vertically downward. This portion of the wellbore 120 may be enclosed by the production casing 135. Other casings, not specifically shown in this figure, can be included within the wellbore system 110 without departing from the scope of this disclosure.
[0039] As shown in
[0040] In the schematic of
[0041] A downhole conveyance 150 is deployed to convey tools and instruments downhole. The downhole conveyance 150 is extendable from a terranean surface 112, through a wellbore 120, and to a subterranean formation 140. The downhole conveyance 150 can be a wireline, e.g., a single or multi-strand wire cable. Wireline cables can incorporate conductors for electrical power and data transmission. The downhole conveyance 150 can be a coiled tubing, e.g., a continuous length of steel or composite tubing wound on a reel which can convey fluids, tools, and equipment into the wellbore 120 while providing pressure control and flexibility. The downhole conveyance 150 can also be a slickline, e.g., a single-strand wire or cable used for light-duty operations such as setting or retrieving downhole equipment, taking fluid samples, or conducting basic well interventions. The downhole conveyance 150 can also be a drilling pipe. Drilling pipes can be used in the drilling process to convey drilling fluids, transmit torque, and carry out other functions necessary for drilling operations.
[0042] The uphole end of the downhole conveyance 150 can be coupled to a top subassembly (not shown). The top subassembly can include various tools and equipment crucial for downhole operations. For example, the top subassembly can include a top drive or a blowout preventer (BOP). The top drive can be a motorized drilling system installed on the drilling rig's mast or derrick. It rotates the drill string, providing the necessary torque and rotational power to drill the well. BOP can be configured to prevent uncontrolled releases of formation fluids (blowouts) during drilling, completion, or production operations. It can include a series of valves and hydraulic mechanisms that can seal off the wellbore, effectively isolating pressure zones and mitigating blowout risks.
[0043] In the schematic of
[0044] In example implementations, the bottom hole assembly 100 includes a perforating gun. Perforating guns deploy shaped charges that generate high-velocity, concentrated jets of explosive charges. The shaped charges are strategically positioned within the perforating gun, and upon initiation, they create perforations by penetrating the well casings and surrounding rock formations. Perforating guns can achieve greater penetration depths than the abrasive jet perforating tool. They can be valuable in hard or consolidated formations where the focused energy from the shaped charges allows for efficient perforation. The choice between an abrasive jet perforating tool and a perforating gun depends on several factors, including formation characteristics, wellbore conditions, and geometry required for perforations.
[0045] In example implementations, the bottom hole assembly 100 includes a hydraulically actuated subassembly attached to the abrasive jet perforating tool and configured to move the abrasive jet perforating tool towards or away from the subterranean formation 140 along the radial direction, as described with further details in
[0046] The geometry of perforations can play an important role in well productivity, reservoir management, and overall operational success. For example, the size and diameter of perforations directly impact the flow of fluids between the reservoir and the wellbore, and pressure distribution during hydraulic fracturing. Larger perforations allow for increased flow rates and faster hydraulic fracture initiation and propagation. The spacing between adjacent perforations determines the density of the induced fractures. In addition, perforations serve as the initial points of contact between the wellbore and the formation during hydraulic fracturing. The depth of the perforations influences the direction and extent of fracture propagation. Further, the orientation of perforations relative to natural fracture networks or bedding planes can influence well performance. In some cases, aligning perforations perpendicular to natural fractures or bedding planes can enhance reservoir connectivity and productivity. In general, consistent perforation geometry, e.g., diameter, depth, and/or space, helps prevent flow imbalances and production inefficiencies.
[0047] As shown in
[0048] Although not shown in
[0049]
[0050] For example, it can impact factors such as the size (e.g., width or diameter) and shape of the perforations, the extent of penetration into the reservoir formation 140, and eventually the overall efficiency of fluid flow from the reservoir formation 140 into the wellbore 120. The jetting operation can persist until the perforation reaches its maximum penetration depth 212(a) at the standoff distance 204(a). The abrasive particles exiting the nozzle undergoes acceleration near the nozzle head achieving optimal velocity and scattering at certain distance from the nozzle orifice. Subsequently, as their kinetic energy is reduced, there is a deceleration phase occurring after a specific standoff distance. Because of decreased kinetic energy, the perforations 208(a) can be narrower at the deeper sections of the perforations, e.g., near the tip of the perforations, and depth of the penetration is limited, as illustrated in
[0051] To address this issue, the techniques disclosed herein utilized hydraulically actuated subassembly (not shown) to bring the jet nozzle 206 closer to the formation 140, as described below with further details in
[0052]
[0053] In example implementations, the hydraulically actuated subassembly 304 includes two telescopic cylinders 333a, 333b. The two telescopic cylinders 333a, 333b can have identical structure or configuration and be collectively or individually referred as the telescopic cylinder 333 in this disclosure. Each telescopic cylinder 333 can have multiple cylindrical stages, to allow for compact shape when retracted so that the BHA can be fit and moved inside the wellbore. The stages can be made of high-strength steel. These stages are nested within each other in the folded or retracted state, as illustrated in
[0054] In example implementations, the hydraulically actuated subassembly 304 is configured to radially move the abrasive jet perforating tool 302 towards the subterranean formation 140 in response to a first fluid pressure. Additionally, the hydraulically actuated subassembly 304 can be configured to retract the abrasive jet perforating tool 302 away from the subterranean formation 140 in response to a second fluid pressure. In example implementations, the first fluid pressure is higher than the second fluid pressure. In example implementations, the hydraulically actuated subassembly 304 is functionally coupled to a directional control valve. The directional control valve can be configured to direct the hydraulic fluid to the base end or the rod end of the cylinder under different fluid pressures. In example implementations, the directional control valve directs the hydraulic fluid to the base end of the telescopic cylinder 333b under a lower fluid pressure and to the rod end of the telescopic cylinder 333b under a higher fluid pressure. In contrast, the directional control valve can direct the hydraulic fluid to the base end of the telescopic cylinder 333a under the higher fluid pressure and to the rod end of the telescopic cylinder 333a under the lower fluid pressure.
[0055] During retraction of the telescopic cylinder 333b, the lower fluid pressure can control the directional control valve to direct the hydraulic fluid to the base end of the telescopic cylinder 333b. The hydraulic pressure can cause the pistons to retract into their respective stages. To extend the telescopic cylinder 333b, the higher fluid pressure can control the directional control valve to direct hydraulic fluid to the rod end of the cylinder. The pressure can cause the pistons to extend, pushing each stage outward along the radial direction, e.g., the X direction. Therefore, the telescopic cylinder 333b can sequentially extend or retract along the radial direction. The radial direction can be the X direction as shown in
[0056] In example implementations, the telescopic cylinder 333 of the hydraulically actuated subassembly 304 includes a spring attached to at least one of the stages and configured to retract the stages. In example implementations, the strings are attached to the outermost stage (the largest diameter stage). At the folded stage of the telescopic cylinder 333, the spring can be at its original shape and length. When hydraulic pressure is applied to extend the telescopic cylinder 333, the pistons can move, and the rod can extend. Simultaneously, the string attached to the outermost stage can be stretched. During retraction, hydraulic pressure can be applied to retract the telescopic cylinder 333. The spring can provide an additional mechanical force to assist in the retraction and return to its original shape and length.
[0057] The hydraulically actuated subassembly 304 is attached to the abrasive jet perforating tool 302. As illustrated in
[0058] In example implementations, when the telescopic cylinder 333b extends, it moves the abrasive jet perforating tool 302 towards the subterranean formation 140 along the radial direction, e.g., the positive X direction. In example implementations, when the telescopic cylinder 333a extends, it moves the abrasive jet perforating tool 302 away from the subterranean formation 140 along the radial direction, e.g., the negative X direction.
[0059]
[0060] After the initial holes 313 are formed, the telescopic cylinder 333b is activated or extended under a first fluid pressure to move the abrasive jet perforating tool 302, e.g., the opening 312 of abrasive jet perforating tool 302, towards the initial holes 313, as illustrated in
[0061] After perforating process is completed, the telescopic cylinder 333b can retract under a second fluid pressure which allows to move the abrasive jet perforating tool 302 away from the perforations. In example implementations, the telescopic cylinder 333a extends under the second fluid pressure, pushing the abrasive jet perforating tool 302 away from the formation 140. In example implementations, the second fluid pressure is lower than the first fluid pressure.
[0062]
[0063] When the jet nozzle 402 is moved towards the formation as illustrated in
[0064] In example implementations, the jet nozzle is a telescopic jet nozzle 504 configured to move radially towards or away from the subterranean formation 140.
[0065] In example implementations, the movement of the telescopic jet nozzle 504 can be configured to be hydraulically controlled, employing methods similar to or identical to those described in
[0066] In example implementations, the movement of the telescopic jet nozzle 504 can be hydraulically controlled together with the movement of the telescopic cylinder 333. For example, the telescopic cylinder 333 and the telescopic jet nozzle 504 extend simultaneously under a first fluid pressure, and they retract simultaneously under a second fluid pressure. In example implementations, the hydraulically actuated subassembly 304 includes just one component, either the telescopic jet nozzle 504 or the telescopic cylinder 333. In an example with the telescopic jet nozzle 504, the main body of the abrasive jet perforating tool 302 remains stationary, with only the telescopic jet nozzle 504 configured to extend towards or retract away from the target formation 140.
[0067]
[0068] At step 904, at a first standoff distance, the abrasive jet perforating tool 302 is operated to perform a first blasting to create initial holes 313 in the formation and/or cement. The blasting can involve jetting explosive materials or abrasive particles towards a target to break the target and form holes. Wider holes can be created at this step due to natural dispersion of the jet, allowing abrasive particles to strike the target surface over a wider angle and area that results in wider initial holes 313 (see
[0069] At step 906, in response to a first fluid pressure, the hydraulically actuated subassembly is extended to move the abrasive jet perforating tool 302 towards the initial holes 313. Thus, the standoff distance is decreased. The hydraulically actuated subassembly can be, e.g., any one of the hydraulically actuated subassembly 304 of
[0070] At step 908, at a second standoff distance 311, e.g., the decreased standoff distance, the abrasive jet perforating tool 302 is operated to perform a second blasting towards the initial holes 313 to create perforations in the subterranean formation 140. The perforations can be wider and deeper than the initial holes 313. In example implementations, one or more additional blasting can be performed to further enlarge the perforations. The perforations can be, e.g., perforations 160 of
[0071] At step 910, in response to a second fluid pressure, the hydraulically actuated subassembly 304, 550 is retracted to move the abrasive jet perforating tool 302 away from the perforations.
[0072] In example implementations, the hydraulically actuated subassembly 550 includes a telescopic jet nozzle 504 configured to direct the abrasive particles out of the abrasive jet perforating tool 302 towards the subterranean formation 140. Under a third fluid pressure, the telescopic jet nozzle 504 can be extended towards the initial holes 313 in the subterranean formation 140. Under a fourth fluid pressure, the telescopic jet nozzle 504 can be retracted away from the initial holes 313 in the subterranean formation 140. As noted above, the telescopic jet nozzle 504 can be controlled in conjunction with or independently from the telescopic cylinder 333. When the telescopic jet nozzle 504 is at its extended state, the telescopic jet nozzle 504 can be inserted into one of the initial holes 313 or perforations as illustrated in
[0073] Thus, particular implementations of the subject matter have been described. Other implementations are within the scope of the following claims. In some cases, the actions recited in the claims can be performed in a different order and still achieve desirable results. In addition, the processes depicted in the accompanying figures do not necessarily require the particular order shown, or sequential order, to achieve desirable results. In certain implementations, multitasking and parallel processing may be advantageous. Moreover, aspects described with reference to any figure or any implementation can be combined with aspects described with any other figure or any other implementation.
[0074] It is understood that the articles a, an, and the in this disclosure are intended to mean that there are one or more of the elements in the preceding descriptions. The terms comprising, including, and having are intended to be inclusive and mean that there may be additional elements other than the listed elements. Additionally, it should be understood that references to one example or an example of the present disclosure are not intended to be interpreted as excluding the existence of additional examples that also incorporate the recited features. For example, any element described in relation to an example herein may be combinable with any element of any other example described herein. Numbers, percentages, ratios, or other values stated herein are intended to include that value, and also other values that are about or approximately the stated value, as would be appreciated by one of ordinary skill in the art encompassed by examples of the present disclosure. A stated value should therefore be interpreted broadly enough to encompass values that are at least close enough to the stated value to perform a desired function or achieve a desired result. The stated values include at least the variation to be expected in a suitable manufacturing or production process, and may include values that are within 5%, within 1%, within 0.1%, or within 0.01% of a stated value.
[0075] A person having ordinary skill in the art should realize in view of the present disclosure that equivalent constructions do not depart from the spirit and scope of the present disclosure, and that various changes, substitutions, and alterations may be made to examples disclosed herein without departing from the spirit and scope of the present disclosure. Equivalent constructions, including functional means-plus-function clauses are intended to cover the structures described herein as performing the recited function, including both structural equivalents that operate in the same manner, and equivalent structures that provide the same function. It is the express intention of the applicant not to invoke means-plus-function or other functional claiming for any claim except for those in which the words means for appear together with an associated function. Each addition, deletion, and modification to the examples that falls within the meaning and scope of the claims is to be embraced by the claims.
[0076] The terms approximately, about, and substantially as used herein represent an amount close to the stated amount that still performs a desired function or achieves a desired result. For example, the terms approximately, about, and substantially may refer to an amount that is within less than 5% of, within less than 1% of, within less than 0.1% of, and within less than 0.01% of a stated amount. Further, it should be understood that any directions or reference frames in the preceding description are merely relative directions or movements. For example, any references to up and down or above or below are merely descriptive of the relative position or movement of the related elements.