This disclosure relates generally to acoustic impedance matching devices, and more specifically to matching acoustic impedances of acoustic transducers to steel tubing in wellbores.
Wells (e.g., oil wells, natural gas wells, etc.) may be used to extract valuable materials (e.g., oil, gas, minerals, etc.) from the earth. Once the valuable materials have been extracted it may be desirable to abandon a depleted well. Before abandoning a well, however, the well may be sealed to reduce the chances that an animal or a person will fall into the well, and/or to reduce the chances that harmful materials will exit the well and contaminate the environment and/or other resources (e.g., water, farmland, etc.) around the well.
In some embodiments an acoustic impedance matching device includes a first face for facing an acoustic transducer, a second face opposite the first face, and a lattice structure between the first face and the second face. The second face is shaped to at least substantially conformally engage an inner surface of a tubing. An effective acoustic impedance of the lattice structure substantially matches a transducer acoustic impedance of the acoustic transducer to a tubing acoustic impedance of the tubing. A material acoustic impedance of a material of the lattice structure is greater than the effective acoustic impedance.
In some embodiments a method of manufacturing an acoustic impedance matching device includes providing computer-readable instructions to a controller of an additive manufacturing apparatus. The computer-readable instructions are configured to instruct the controller to manufacture the acoustic impedance matching device according to a digital design of the acoustic impedance matching device. The digital design defines a lattice structure including a first face for facing an acoustic transducer and a second face to conformally engage an inner surface of a tubing. The acoustic impedance matching device is designed to manifest an effective acoustic impedance from the first face to the second face that matches a transducer acoustic impedance of the acoustic transducer to a tubing acoustic impedance of the tubing. The method also includes providing an additive manufacturing material to a material intake of the additive manufacturing apparatus. The additive manufacturing material has a material acoustic impedance that is greater than the effective acoustic impedance. The method further includes manufacturing, with the additive manufacturing apparatus and according to the machine-readable instructions, the lattice structure using the additive manufacturing material.
In some embodiments a method of operating an acoustic impedance matching device includes applying an acoustic transducer to a first face of an acoustic impedance matching device. The acoustic transducer has a transducer acoustic impedance. The method also includes placing a second face of the acoustic impedance matching device into contact with an internal surface of a tubing. The second face is opposite to the first face. The tubing has a tubing acoustic impedance that is mismatched to the transducer acoustic impedance. The method further includes at least substantially matching the transducer acoustic impedance to the tubing acoustic impedance with an effective acoustic impedance of the acoustic impedance matching device that is less than a material acoustic impedance of a material of the acoustic impedance matching device. A lattice structure of the material of the acoustic impedance matching device reduces the effective acoustic impedance of the acoustic impedance matching device relative to the material acoustic impedance. The method also includes transmitting an acoustic signal from the acoustic transducer to a casing through the acoustic impedance matching device and the tubing, receiving a reflected acoustic signal, and determining one or more properties of the casing responsive to the reflected acoustic signal.
While this disclosure concludes with claims particularly pointing out and distinctly claiming specific embodiments, various features and advantages of embodiments within the scope of this disclosure may be more readily ascertained from the following description when read in conjunction with the accompanying drawings, in which:
In the following detailed description, reference is made to the accompanying drawings, which form a part hereof, and in which are shown, by way of illustration, specific examples of embodiments in which the present disclosure may be practiced. These embodiments are described in sufficient detail to enable a person of ordinary skill in the art to practice the present disclosure. However, other embodiments enabled herein may be utilized, and structural, material, and process changes may be made without departing from the scope of the disclosure.
The illustrations presented herein are not meant to be actual views of any particular method, system, device, or structure, but are merely idealized representations that are employed to describe the embodiments of the present disclosure. In some instances similar structures or components in the various drawings may retain the same or similar numbering for the convenience of the reader; however, the similarity in numbering does not necessarily mean that the structures or components are identical in size, composition, configuration, or any other property.
The following description may include examples to help enable one of ordinary skill in the art to practice the disclosed embodiments. The use of the terms “exemplary,” “by example,” and “for example,” means that the related description is explanatory, and though the scope of the disclosure is intended to encompass the examples and legal equivalents, the use of such terms is not intended to limit the scope of an embodiment or this disclosure to the specified components, steps, features, functions, or the like.
It will be readily understood that the components of the embodiments as generally described herein and illustrated in the drawings could be arranged and designed in a wide variety of different configurations. Thus, the following description of various embodiments is not intended to limit the scope of the present disclosure, but is merely representative of various embodiments. While the various aspects of the embodiments may be presented in the drawings, the drawings are not necessarily drawn to scale unless specifically indicated.
Furthermore, specific implementations shown and described are only examples and should not be construed as the only way to implement the present disclosure unless specified otherwise herein. Elements, circuits, and functions may be shown in block diagram form in order not to obscure the present disclosure in unnecessary detail. Conversely, specific implementations shown and described are exemplary only and should not be construed as the only way to implement the present disclosure unless specified otherwise herein. Additionally, block definitions and partitioning of logic between various blocks is exemplary of a specific implementation. It will be readily apparent to one of ordinary skill in the art that the present disclosure may be practiced by numerous other partitioning solutions. For the most part, details concerning timing considerations and the like have been omitted where such details are not necessary to obtain a complete understanding of the present disclosure and are within the abilities of persons of ordinary skill in the relevant art.
Those of ordinary skill in the art will understand that information and signals may be represented using any of a variety of different technologies and techniques. Some drawings may illustrate signals as a single signal for clarity of presentation and description. It will be understood by a person of ordinary skill in the art that the signal may represent a bus of signals, wherein the bus may have a variety of bit widths and the present disclosure may be implemented on any number of data signals including a single data signal.
The various illustrative logical blocks, modules, and circuits described in connection with the embodiments disclosed herein may be implemented or performed with a general purpose processor, a special purpose processor, a digital signal processor (DSP), an Integrated Circuit (IC), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA) or other programmable logic device, discrete gate or transistor logic, discrete hardware components, or any combination thereof designed to perform the functions described herein. A general-purpose processor (may also be referred to herein as a host processor or simply a host) may be a microprocessor, but in the alternative, the processor may be any conventional processor, controller, microcontroller, or state machine. A processor may also be implemented as a combination of computing devices, such as a combination of a DSP and a microprocessor, a plurality of microprocessors, one or more microprocessors in conjunction with a DSP core, or any other such configuration. A general-purpose computer including a processor is considered a special-purpose computer while the general-purpose computer is configured to execute computing instructions (e.g., software code) related to embodiments of the present disclosure.
The embodiments may be described in terms of a process that is depicted as a flowchart, a flow diagram, a structure diagram, or a block diagram. Although a flowchart may describe operational acts as a sequential process, many of these acts can be performed in another sequence, in parallel, or substantially concurrently. In addition, the order of the acts may be re-arranged. A process may correspond to a method, a thread, a function, a procedure, a subroutine, a subprogram, other structure, or combinations thereof. Furthermore, the methods disclosed herein may be implemented in hardware, software, or both. If implemented in software, the functions may be stored or transmitted as one or more instructions or code on computer-readable media. Computer-readable media includes both computer storage media and communication media including any medium that facilitates transfer of a computer program from one place to another.
Any reference to an element herein using a designation such as “first,” “second,” and so forth does not limit the quantity or order of those elements, unless such limitation is explicitly stated. Rather, these designations may be used herein as a convenient method of distinguishing between two or more elements or instances of an element. Thus, a reference to first and second elements does not mean that only two elements may be employed there or that the first element must precede the second element in some manner. In addition, unless stated otherwise, a set of elements may include one or more elements.
As used herein, the term “substantially” in reference to a given parameter, property, or condition means and includes to a degree that one of ordinary skill in the art would understand that the given parameter, property, or condition is met with a small degree of variance, such as, for example, within acceptable manufacturing tolerances. By way of example, depending on the particular parameter, property, or condition that is substantially met, the parameter, property, or condition may be at least 90% met, at least 95% met, or even at least 99% met.
Casing inspection of wells (e.g., oil wells) may be performed to determine whether it is safe to seal and abandon the wells. For example, if a casing and/or a tubing within a well is damaged, capping a top of the well may not prevent pollutants from escaping the well. High frequency acoustics may be used to measure the strength and condition of a steel casing or liner, or other permanent tubular element cemented within a well before a well is plugged and abandoned.
As discussed above, it may be desirable to inspect the well 100. By way of non-limiting example, it may be desirable to inspect the well 100 before sealing and abandoning the well 100. It will be appreciated by those of ordinary skill in the art, however, that it may also be desirable to inspect the well 100 at any time before, during or after use of the well 100 for the production of hydrocarbons or minerals in solution.
In some embodiments the acoustic transducer 108 may include a piezo crystal, which may have a transducer acoustic impedance of substantially 15 to 20 megaRayl (MRayl). By contrast, a tubing acoustic impedance of the tubing 114, assuming that the tubing 114 is a steel tubing, may be substantially 40 to 44 MRayl. Accordingly, an acoustic impedance mismatch between the acoustic transducer 108 and the tubing 114 may exist. This acoustic impedance mismatch may cause the acoustic signal 122 to attenuate by substantially 20 to 30 decibels (dB) by the time the acoustic signal 122 reaches the casing 116. The acoustic impedance mismatch may also cause the reflected acoustic signal 124 to attenuate by substantially 20 to 30 dB by the time the reflected acoustic signal 124 reaches the acoustic transducer 108. As a result, the reflected acoustic signal 124 received by the acoustic transducer 108 may be attenuated by up to 60 dB as compared to the acoustic signal 122 that is provided by the acoustic transducer 108, which may drop the reflected acoustic signal 124 below a noise floor, in some instances. Given this acoustic impedance mismatch, it may be difficult to obtain useful, relevant information about the integrity of the casing 116 using the acoustic transducer 108 if the acoustic transducer 108 is applied directly to the tubing 114.
An effective acoustic impedance of the acoustic impedance matching device 106 substantially matches the transducer acoustic impedance of the acoustic transducer 108 to the tubing acoustic impedance of the tubing 114. In some embodiments the acoustic impedance matching device 106 may functionally match the transducer acoustic impedance to the tubing acoustic impedance. By way of non-limiting example, an effective acoustic impedance of the acoustic impedance matching device 106 may be substantially the geometric mean of the transducer acoustic impedance and the tubing acoustic impedance. Assuming that the transducer acoustic impedance is 15 to 20 MRayl and the tubing acoustic impedance is 40 to 44 MRayl, an appropriate effective acoustic impedance of the acoustic impedance matching device 106 may be substantially 27 MRayl (e.g., because the geometric mean of 17.5 MRayl and 42 MRayl is substantially 27 MRayl, or sqrt((17.5 MRayl)*(42 MRayl))=substantially 27 MRayl).
Materials that naturally have acoustic impedances substantially equal to 27 MRayl may not be ideal for use in downhole environments such as the well 100 of
Rather than using a solid material having an acoustic impedance substantially equal to 27 MRayl, the acoustic impedance matching device 106 may include a lattice structure 118 between the first face 110 and the second face 112. A material acoustic impedance of a material of the lattice structure 118 may be greater than the effective acoustic impedance of the acoustic impedance matching device 106. Since features of the material of the lattice structure 118 define gaps therebetween, the effective acoustic impedance of the lattice structure 118 may be reduced as compared to the material acoustic impedance of the solid material. By way of non-limiting example, the material may include a metal. As a specific, non-limiting example, the material may include a nickel-chromium-based alloy such as Inconel® 718, which has a material acoustic impedance of substantially 40 MRayl. The effective acoustic impedance of the lattice structure 118 may be reduced due to the gaps in the lattice structure 118 from substantially 40 MRayl to substantially 27 MRayl. In some embodiments the gaps between the structures of the material within the lattice structure 118 may be filled with a filler material (e.g., oil, epoxy) to reduce or prevent scattering of acoustic waves.
In some embodiments the lattice structure 118 includes a honeycomb lattice structure, such as a honeycomb lattice structure 306 discussed with reference to
Since the effective acoustic impedance of the lattice structure 118 may be designed into the lattice structure 118, any effective acoustic impedance that is less than or equal to the material acoustic impedance may be designed into the lattice structure 118. As a result, relatively strong, durable materials may be used and a wide variety of effective acoustic impedances may be achieved using the same material. Also, the use of materials for the lattice structure 118 that naturally have a desired acoustic impedance may not be required. Rather, any available material (e.g., metal alloy) may be used to manufacture the lattice structure 118.
Since multiple acoustic transducers 202a, 202b, 202c, 202d, 202e, and 202f and their corresponding acoustic impedance matching devices 204a, 204b, 204c, 204d, 204e, and 204f are deployed within the tubing 206, information may be obtain for substantially an entire circumference of the tubing 206 and/or a casing (not shown).
At operation 404 the method 400 includes placing a second face of the acoustic impedance matching device into contact with an internal surface of a tubing. The second face is opposite to the first face. The tubing has a tubing acoustic impedance that is mismatched to the transducer acoustic impedance. In some embodiments placing the second face of the acoustic impedance matching device into contact with the internal surface of the tubing includes placing the second face of the acoustic impedance matching device into contact with the internal surface of a metal tubing. In some embodiments placing the second face of the acoustic impedance matching device into contact with the internal surface of the tubing includes placing the second face of the acoustic impedance matching device into contact with the internal surface of a steel tubing. In some embodiments placing the second face of the acoustic impedance matching device into contact with the internal surface of the tubing includes placing the second face of the acoustic impedance matching device into contact with the internal surface of a polymer tubing.
At operation 406 the method 400 includes matching the transducer acoustic impedance to the tubing acoustic impedance with an effective acoustic impedance of the acoustic impedance matching device that is less than a material acoustic impedance of a material of the acoustic impedance matching device. A lattice structure of the material of the acoustic impedance matching device reduces the effective acoustic impedance of the acoustic impedance matching device relative to the material acoustic impedance.
At operation 408 the method 400 includes transmitting an acoustic signal from the acoustic transducer to a casing through the acoustic impedance matching device and the tubing. In some embodiments transmitting the acoustic signal from the acoustic transducer to the casing through the acoustic impedance matching device and the tubing includes transmitting the acoustic signal to a casing cemented in the wellbore through the acoustic impedance matching device and a steel tubing.
At operation 410 the method 400 includes receiving a reflected acoustic signal. At operation 412 the method 400 includes determining one or more properties of the casing responsive to the reflected acoustic signal. At decision 414 the method includes determining whether the one or more properties of the casing are satisfactory. At operation 416 the method 400 includes sealing a wellbore responsive to a determination that the one or more properties of the casing are satisfactory. At operation 418 the method 400 includes repairing the wellbore responsive to a determination that the one or more properties of the casing are not satisfactory.
The additive manufacturing apparatus 500 includes a material intake 512, a material delivery system 514, a laser system 522, a build chamber 520, and a controller 502. The build chamber 520 includes a platform 516 for manufacturing an acoustic impedance matching device 524 thereon. The controller 502 includes one or more processors 504 and one or more data storage devices 506.
The material intake 512 is configured to receive a particulate or otherwise flowable additive manufacturing material 518 and deliver the additive manufacturing material 518 to a material delivery system 514. The material delivery system 514 is configured to deliver the additive manufacturing material 518 to the platform 516, and the laser system 522 is configured to cure or otherwise bond the additive manufacturing material 518 at the platform 516 into a desired structural configuration for an impedance matching device 524.
The controller 502 is configured to control operation of the additive manufacturing apparatus 500. For example, the controller 502 may control the material intake 512, the material delivery system 514, the laser system 522, or combinations thereof. The data storage devices 506 includes computer-readable instructions 508 and a digital design 510 of the acoustic impedance matching device 524 stored thereon. The computer-readable instructions 508 are configured to instruct the computer-readable instructions 508 to manufacture the acoustic impedance matching device 524 according to the digital design 510.
The digital design 510 defines a lattice structure of the acoustic impedance matching device 524 including a first face for facing an acoustic transducer and a second face to at least substantially conformally engage an inner surface of a tubing. As discussed above, the acoustic impedance matching device 524 defined by the digital design 510 is designed to manifest an effective acoustic impedance from the first face to the second face that matches a transducer acoustic impedance of an acoustic transducer to a tubing acoustic impedance of a tubing.
In some embodiments the digital design 510 may define drain holes (e.g., the drain hole 310 of
In some embodiments the acoustic impedance matching device 524 may be lattice structured using latticing computer aided design (CAD) software. In some such embodiments the computer-readable instructions 508 may include latticing CAD software.
Any of a variety of additive manufacturing processes may be used to manufacture the acoustic impedance matching device 524. In some embodiments a powder-bed fusion additive manufacturing process may be used to manufacture the acoustic impedance matching device 524. Powder-bed fusion additive manufacturing typically provides relatively high resolution manufacturing, which may enable manufacturing of relatively complex lattice structures for the acoustic impedance matching device 524. Other additive manufacturing processes, however, may also be used. By way of non-limiting examples, binder jetting, directed energy deposition, sheet lamination, material extrusion, material jetting, vat photo polymerization, other additive manufacturing processes, or combinations thereof may be used.
The use of additive manufacturing to manufacture the acoustic impedance matching device 524 may lead to shorter development time as compared to manufacturing the acoustic impedance matching device 524 using machining. The use of additive manufacturing may also reduce manufacturing lead time as compared to manufacturing lead time using machining. Additive manufacturing also enables functionally graded acoustic impedance matching, which may improve performance of the acoustic impedance matching device 524. Additive manufacturing may also enable design of a tunable acoustic cover.
At operation 604 the method 600 includes providing an additive manufacturing material to a material intake of the additive manufacturing apparatus. The additive manufacturing material has a material acoustic impedance that is greater than the effective acoustic impedance. In some embodiments the additive manufacturing material includes a metal. In some embodiments the additive manufacturing material includes a nickel-chromium-based alloy (e.g., Inconel® 718). In some embodiments the material acoustic impedance of the nickel-chromium-based alloy is substantially 40 megaRayl (MRayl).
At operation 606 the method 600 includes manufacturing, with the additive manufacturing apparatus, the lattice structure using the additive manufacturing material.
It will be appreciated by those of ordinary skill in the art that functional elements of embodiments disclosed herein (e.g., functions, operations, acts, processes, and/or methods) may be implemented in any suitable hardware, software, firmware, or combinations thereof.
When implemented by logic circuitry 708 of the processors 702, the machine executable code 706 is configured to adapt the processors 702 to perform operations of embodiments disclosed herein. For example, the machine executable code 706 may be configured to adapt the processors 702 to perform at least a portion or a totality of the operations discussed for the controller 502 of
The processors 702 may include a general purpose processor, a special purpose processor, a central processing unit (CPU), a microcontroller, a programmable logic controller (PLC), a digital signal processor (DSP), an application specific integrated circuit (ASIC), a field-programmable gate array (FPGA) or other programmable logic device, discrete gate or transistor logic, discrete hardware components, other programmable device, or any combination thereof designed to perform the functions disclosed herein. A general-purpose computer including a processor is considered a special-purpose computer while the general-purpose computer is configured to execute functional elements corresponding to the machine executable code 706 (e.g., software code, firmware code, hardware descriptions) related to embodiments of the present disclosure. It is noted that a general-purpose processor (may also be referred to herein as a host processor or simply a host) may be a microprocessor, but in the alternative, the processors 702 may include any conventional processor, controller, microcontroller, or state machine. The processors 702 may also be implemented as a combination of computing devices, such as a combination of a DSP and a microprocessor, a plurality of microprocessors, one or more microprocessors in conjunction with a DSP core, or any other such configuration.
In some embodiments the storage 704 includes volatile data storage (e.g., random-access memory (RAM)), non-volatile data storage (e.g., Flash memory, a hard disc drive, a solid state drive, erasable programmable read-only memory (EPROM), etc.). In some embodiments the processors 702 and the storage 704 may be implemented into a single device (e.g., a semiconductor device product, a system on chip (SOC), etc.). In some embodiments the processors 702 and the storage 704 may be implemented into separate devices.
In some embodiments the machine executable code 706 may include computer-readable instructions (e.g., software code, firmware code). By way of non-limiting example, the computer-readable instructions may be stored by the storage 704, accessed directly by the processors 702, and executed by the processors 702 using at least the logic circuitry 708. Also by way of non-limiting example, the computer-readable instructions may be stored on the storage 704, transferred to a memory device (not shown) for execution, and executed by the processors 702 using at least the logic circuitry 708. Accordingly, in some embodiments the logic circuitry 708 includes electrically configurable logic circuitry 708.
In some embodiments the machine executable code 706 may describe hardware (e.g., circuitry) to be implemented in the logic circuitry 708 to perform the functional elements. This hardware may be described at any of a variety of levels of abstraction, from low-level transistor layouts to high-level description languages. At a high-level of abstraction, a hardware description language (HDL) such as an IEEE Standard hardware description language (HDL) may be used. By way of non-limiting examples, Verilog™, SystemVerilog™ or very large scale integration (VLSI) hardware description language (VHDL™) may be used.
HDL descriptions may be converted into descriptions at any of numerous other levels of abstraction as desired. As a non-limiting example, a high-level description can be converted to a logic-level description such as a register-transfer language (RTL), a gate-level (GL) description, a layout-level description, or a mask-level description. As a non-limiting example, micro-operations to be performed by hardware logic circuits (e.g., gates, flip-flops, registers, without limitation) of the logic circuitry 708 may be described in a RTL and then converted by a synthesis tool into a GL description, and the GL description may be converted by a placement and routing tool into a layout-level description that corresponds to a physical layout of an integrated circuit of a programmable logic device, discrete gate or transistor logic, discrete hardware components, or combinations thereof. Accordingly, in some embodiments the machine executable code 706 may include an HDL, an RTL, a GL description, a mask level description, other hardware description, or any combination thereof.
In embodiments where the machine executable code 706 includes a hardware description (at any level of abstraction), a system (not shown, but including the storage 704) may be configured to implement the hardware description described by the machine executable code 706. By way of non-limiting example, the processors 702 may include a programmable logic device (e.g., an FPGA or a PLC) and the logic circuitry 708 may be electrically controlled to implement circuitry corresponding to the hardware description into the logic circuitry 708. Also by way of non-limiting example, the logic circuitry 708 may include hard-wired logic manufactured by a manufacturing system (not shown, but including the storage 704) according to the hardware description of the machine executable code 706.
Regardless of whether the machine executable code 706 includes computer-readable instructions or a hardware description, the logic circuitry 708 is adapted to perform the functional elements described by the machine executable code 706 when implementing the functional elements of the machine executable code 706. It is noted that although a hardware description may not directly describe functional elements, a hardware description indirectly describes functional elements that the hardware elements described by the hardware description are capable of performing.
As used in the present disclosure, the terms “module” or “component” may refer to specific hardware implementations configured to perform the actions of the module or component and/or software objects or software routines that may be stored on and/or executed by general purpose hardware (e.g., computer-readable media, processing devices, etc.) of the computing system. In some embodiments, the different components, modules, engines, and services described in the present disclosure may be implemented as objects or processes that execute on the computing system (e.g., as separate threads). While some of the system and methods described in the present disclosure are generally described as being implemented in software (stored on and/or executed by general purpose hardware), specific hardware implementations or a combination of software and specific hardware implementations are also possible and contemplated.
As used in the present disclosure, the term “combination” with reference to a plurality of elements may include a combination of all the elements or any of various different subcombinations of some of the elements. For example, the phrase “A, B, C, D, or combinations thereof” may refer to any one of A, B, C, or D; the combination of each of A, B, C, and D; and any subcombination of A, B, C, or D such as A, B, and C; A, B, and D; A, C, and D; B, C, and D; A and B; A and C; A and D; B and C; B and D; or C and D.
Terms used in the present disclosure and especially in the appended claims (e.g., bodies of the appended claims) are generally intended as “open” terms (e.g., the term “including” should be interpreted as “including, but not limited to,” the term “having” should be interpreted as “having at least,” the term “includes” should be interpreted as “includes, but is not limited to,” etc.).
Additionally, if a specific number of an introduced claim recitation is intended, such an intent will be explicitly recited in the claim, and in the absence of such recitation no such intent is present. For example, as an aid to understanding, the following appended claims may contain usage of the introductory phrases “at least one” and “one or more” to introduce claim recitations. However, the use of such phrases should not be construed to imply that the introduction of a claim recitation by the indefinite articles “a” or “an” limits any particular claim containing such introduced claim recitation to embodiments containing only one such recitation, even when the same claim includes the introductory phrases “one or more” or “at least one” and indefinite articles such as “a” or “an” (e.g., “a” and/or “an” should be interpreted to mean “at least one” or “one or more”); the same holds true for the use of definite articles used to introduce claim recitations.
In addition, even if a specific number of an introduced claim recitation is explicitly recited, those skilled in the art will recognize that such recitation should be interpreted to mean at least the recited number (e.g., the bare recitation of “two recitations,” without other modifiers, means at least two recitations, or two or more recitations). Furthermore, in those instances where a convention analogous to “at least one of A, B, and C, etc.” or “one or more of A, B, and C, etc.” is used, in general such a construction is intended to include A alone, B alone, C alone, A and B together, A and C together, B and C together, or A, B, and C together, etc.
Further, any disjunctive word or phrase presenting two or more alternative terms, whether in the description, claims, or drawings, should be understood to contemplate the possibilities of including one of the terms, either of the terms, or both terms. For example, the phrase “A or B” should be understood to include the possibilities of “A” or “B” or “A and B.”
While the present disclosure has been described herein with respect to certain illustrated embodiments, those of ordinary skill in the art will recognize and appreciate that the present invention is not so limited. Rather, many additions, deletions, and modifications to the illustrated and described embodiments may be made without departing from the scope of the invention as hereinafter claimed along with their legal equivalents. In addition, features from one embodiment may be combined with features of another embodiment while still being encompassed within the scope of the invention as contemplated by the inventor.