Three axis vibrating device
11680455 · 2023-06-20
Assignee
Inventors
Cpc classification
E21B17/07
FIXED CONSTRUCTIONS
E21B7/24
FIXED CONSTRUCTIONS
E21B28/00
FIXED CONSTRUCTIONS
International classification
E21B31/00
FIXED CONSTRUCTIONS
E21B28/00
FIXED CONSTRUCTIONS
E21B34/10
FIXED CONSTRUCTIONS
Abstract
Provided is a downhole vibrating tool comprising an interconnected power section, axial shock assembly and lateral vibration assembly wherein the power section comprising a rotor and a stator, the rotor comprising a plurality of lobes and the stator comprising a second plurality of recesses adapted to receive the plurality of lobes, the number of recesses greater than the number of lobes; the axial shock assembly comprising a valve assembly, the axial shock assembly adapted to vary fluid flow therethrough; and the lateral vibration assembly comprising an eccentric mass; wherein the power section, the axial shock assembly and the lateral vibration assembly are aligned linearly.
Claims
1. A vibrating tool comprising a power section comprising a rotor and a stator, the rotor comprising a plurality of lobes and the stator comprising a second plurality of recesses adapted to receive the plurality of lobes, the number of recesses greater than the number of lobes; an axial shock assembly comprising a valve assembly comprising a rotating valve that is driven to rotate by the power section, the axial shock assembly adapted to vary fluid flow therethrough, wherein the rotating valve comprises a rotating disk having at least one port therein and a stationary disk having at least one port therein, such that the axial shock assembly is adapted to vary fluid flow therethrough by aligning and misaligning the at least one port of the rotating disk and the at least one port of the stationary disk; and a lateral vibration assembly comprising an eccentric mass that is driven to rotate by the power section along with the rotating valve, wherein the eccentric mass is positioned with respect to the at least one port of the rotating disk so as to tune the vibrating tool based on a relative positioning of the at least one port of the rotating disk and the eccentric mass.
2. The vibrating tool of claim 1, wherein the rotor is coupled to a drive shaft to which the eccentric mass and the rotating valve are coupled.
3. The vibrating tool of claim 1, wherein the rotor and stator generate torque through fluid flow through the vibrating tool, and wherein said rotor is rotationally coupled with the eccentric mass by a constant velocity shaft, the constant velocity shaft being functionally coupled with both the rotor and the eccentric mass.
4. The vibrating tool of claim 3, wherein the eccentric mass is within 10° of the port of the rotating disk.
5. The vibrating tool of claim 4, wherein the stationary disk is sized and positioned such that the valve assembly has a highest flow-through area and a lowest flow-through area, wherein the ratio of the highest flow-through area to the lowest flow-through area is greater than 10:1.
6. The vibrating tool of claim 5, wherein at least one of the ports comprises a fan-shaped pass-through area.
7. The vibrating tool of claim 1, wherein the eccentric mass comprises a substantially cylindrical mid-section with a wall thickness that varies from its thickest to its thinnest at a ratio of greater than 5:1.
8. The vibrating tool of claim 1, wherein the vibrating tool has an aft end and a fore end, wherein the fore end is an end of the vibrating tool in the direction of a bottom of a hole and the aft end is opposite the fore end, and wherein to vibrating tool is axially arranged from the fore end to the aft end: the axial shock assembly, the lateral vibration assembly, and the power section.
9. The vibrating tool of claim 1, wherein the rotating disk comprises a first ported component and a second ported component, and wherein the stationary disk comprises a third ported component and a fourth ported component, wherein: the first ported component and second ported component have an equal number of ports; the third ported component and fourth ported component have an equal number of ports; the first and second ported components are stationary with respect to each other; the third and fourth ported components are stationary with respect to each other; and the first and second ported components rotate with respect to the third and fourth ported components.
10. The vibrating tool of claim 1, wherein the eccentric mass is positioned substantially in line with the port of the rotating disk so as to tune lateral and axial vibrations for maximum impact.
11. The vibrating tool of claim 1, wherein the eccentric mass is positioned at least partially out of alignment with the port of the rotating disk.
12. A vibrating tool comprising: a power section comprising a rotor and a stator, the rotor comprising a plurality of lobes and the stator comprising a second plurality of recesses adapted to receive the plurality of lobes, the number of recesses greater than the number of lobes; an axial shock assembly comprising a valve assembly, the axial shock assembly adapted to vary fluid flow therethrough, wherein the valve assembly comprises at least a first, second, third, and fourth ported components, wherein the first ported component and second ported component have equal number of ports, wherein the third ported component and fourth ported component have equal number of ports, wherein the valve assembly comprises a rotating valve and a stationary valve, the rotating valve being rotated by the power section, wherein at least one of the first or second ported components comprises a fan-shaped pass- through section, and at least one of the third or fourth ported components comprises two circular pass-through sections, wherein at least one of the ported components is configured to rotate about an axis with respect to another of the ported components from an open-most configuration and a closed-most configuration, wherein the open-most configuration comprises a total open-most pass-through area in which a circular pass-through section of one ported component and the fan-shaped pass-through section of another ported component have a largest overlap, and wherein the closed-most configuration comprises a total closed-most pass-through area in which the fan-shaped pass-through section of one ported component is minimally axially aligned with the two circular pass-through sections of another ported component.
13. The vibrating tool of claim 12, wherein each of the circular pass-through areas are the same diameter, and wherein the total pass-through area in the closed-most configuration is 8-16% of the pass-through area of one of the circular pass-through areas.
14. A vibrating tool for use in a drilling string having an operating state, comprising: a power section powered by fluid flow, wherein the power section is configured to generate torque in response to the fluid flow; an axial vibration section comprising at least four coaxial ported axial vibration components, at least one of which is driven to rotate relative to another one of the axial vibration components by the torque generated by the power section, wherein the coaxial ported axial vibration components are configured to generate pulses in the fluid flow that vibrate the tool in an axial direction, the axial direction being parallel to the drilling string at a point nearest the vibrating tool; and a lateral vibration section comprising an eccentric mass that is driven to rotate by the power section along with the coaxial ported axial vibration components so as to vibrate the tool in a lateral direction, wherein the eccentric mass is positioned with respect to one or more ports of the ported axial vibration components so as to tune the vibrating tool based on a relative positioning of the one or more ports and the eccentric mass.
15. The vibrating tool of claim 14, wherein: the vibrating tool has a centerline, such centerline being a line parallel with the longest dimension of the vibrating tool and located at the center of a cross section of a cylindrical portion of the vibrating tool; and the eccentric mass has a center of mass offset from the centerline and configured to rotate about the centerline.
16. The vibrating tool of claim 15, wherein the power section comprises a five lobe stator and a six lobe rotor.
17. The vibrating tool of claim 16, wherein the at least four ported axial vibration components comprise a plurality of valves plates.
18. The vibrating tool of claim 15, wherein the at least four ported axial vibration components are positionable to form different total pass-through areas, the different total pass-through areas defined by areas created by overlap of pass-through areas of the ported axial vibration components in the ported axial vibration components' different positions as at least one ported axial vibration component rotates about the centerline, wherein for all different positions of the ported axial vibration components, the total pass-through area is greater than zero.
19. The vibrating tool of claim 15, wherein at least one of the ported axial vibration components has a fan-shaped pass-through area, and at least one of the plurality of ported axial vibration components has two circular pass through areas.
20. The vibrating tool of claim 18, wherein each pass-through area on each of the plurality of ported axial vibration components is sized and positioned such that some portion of a pass-through area of each of the plurality of ported axial vibration components overlaps with some portion of a pass-through area of each of the other ported axial vibration components at all positions of rotation.
21. The vibrating tool of claim 15, wherein the ported axial vibration components are positionable at an open-most configuration and a closed-most configuration, wherein in the open-most configuration a pass-through area of at least one of the plurality of rotatable ported axial vibration components is axially colinear with a pass-through area of at least one of a plurality of nonrotatable ported axial vibration components valve plates, and the closed-most configuration is the configuration in which a ported axial vibration components is rotated 90 degrees from the open-most configuration.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The above-mentioned aspects and other aspects of the present techniques will be better understood when the present application is read in view of the following figures in which like numbers indicate similar or identical elements:
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(27) Where appropriate, sectional views are included and are to be interpreted as continuous of the designs or patterns shown therein, unless specifically described otherwise. That is, pieces appearing as cylindrical sectioned are to be interpreted as continuing cylindrical shape throughout. Where there is conflict in interpretation of a sectional view and a more complete view, the more complete view should be assumed to control. Where there is a conflict in interpretation of a written description and a figure, the written description should be assumed to control. Where descriptions are of geometric or spatial terms, strict mathematical interpretation of those terms is not intended.
(28) While the invention is susceptible to various modifications and alternative forms, specific embodiments thereof are shown by way of example in the drawings and will herein be described in detail. The drawings may not be to scale. It should be understood, however, that the drawings and detailed description thereto are not intended to limit the invention to the particular form disclosed, but to the contrary, the intention is to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the present invention as defined by the appended claims.
DETAILED DESCRIPTION OF CERTAIN EMBODIMENTS
(29) To mitigate the problems encountered in downhole drilling as described herein, the inventors had to both invent solutions and, in some cases just as importantly, recognize problems overlooked (or not yet foreseen) by others in the fields of vibratory tools, hydrocarbon extraction, drilling, and drilling solutions. Indeed, the inventors wish to emphasize the difficulty of recognizing those problems that are nascent and will become much more apparent in the future should trends in hydrocarbon extraction industry continue as the inventors expect. Further, because multiple problems are addressed, it should be understood that some embodiments are problem-specific, and not all embodiments address every problem with traditional systems described herein or provide every benefit described herein. That said, improvements that solve various permutations of these problems are described below.
(30) Certain embodiments of the present disclosure include a linearly arranged vibratory tool that is attachable on a drill string for use in downhole hydrocarbon extraction such as oil and gas production. In the preferred embodiment, the components of the vibratory tool are arranged in a substantially cylindrical manner to fit within a cylindrical space, including a wellbore or a casing joint and constructed to allow for attachment to surrounding drill pipe through, for example, threaded ends.
(31) The vibratory tool can be arranged as various portions from fore to aft in some embodiments with some or all of the following components, with the fore portion being the portion intended to be placed furthest into the wellbore and the aft portion being the portion most near the surface. In many embodiments each the fore end and the aft end is connected to the drilling string or to other appropriate tools for drilling. In a preferred embodiment, the vibratory tool is arranged as in
(32) Percussive forces are advantageous in drilling and movement of a drill string through a formation. Percussive affects can be caused by sharp variations in fluid flow through the vibratory tool, resulting in pressure spikes. Pressure changes across the vibratory tool are enhanced by regulating fluid flow through the vibratory tool. In certain embodiments, fluid flow is increased and lessened by the interaction of a valve created by the interactions of a rotating plate and a stationary plate, with advantageously located cut-outs to allow flow through. A section of one embodiment of the valve assembly is shown in
(33) In a preferred embodiment, shown on
(34) The pass through sections of the stationary plate insert 1601, stationary plate mount 1602, rotating plate mount 1603, and rotating plate insert 1604 vary in different intended deployments to account for different drilling mud weights intended to be used. In each of these preferred embodiments, the orientation and shape of the pass throughs sections are as shown in
(35) With respect to
(36) With reference to
(37) With respect to
(38) Both substantially larger and smaller pass-through areas are contemplated in this disclosure. Additional pass-through areas and differently positioned pass-through areas are contemplated in this disclosure. Of greatest effect on the valve function is the ability to create flow patterns of high flow followed by restricted flow such that resultant pressure rapidly spikes and rapidly drops instead of gradually increasing and decreasing. The percussive effect in these embodiments of the tool is a result of drilling fluid alternately passing through and being restricted by the valve assembly, comprising the stationary plate insert 1601, stationary plate mount 1602, rotating plate mount 1603, and rotating plate insert 1604. The rotating plate mount 1603 and rotating plate insert 1604 rotate with respect to the stationary plate insert 1601 and stationary plate mount 1602. As they rotate, as shown in
(39) In one embodiment, the matching valve pieces have tab-and-slots positioned such that the two pieces with matching circular cuts, the stationary plate mount and the stationary mount insert can be placed together so that each is functionally non-rotational with respect to the other. Likewise, the two pieces with one circular cut-out and one fan-shaped have tab and slots to prevent their relative rotation. With respect the vibrating tool in general, the two aft pieces are in communication with the rotor and stator power section and are therefore capable of rotation as fluid flow causes rotational of the stator. In the preferred embodiment, the two aft pieces are those with the fan cut outs. The two other pieces are non-rotating with respect to the vibrating tool and the other valve pieces.
(40) In a preferred embodiment, all components are made of alloy steel except the valve inserts which are tungsten carbide and the rotor which is stainless steel. In most embodiments for use of hydrocarbon extraction, the vibratory tool can have a diameter as small as 3⅛″ and can be as large as industry application requires.
(41) In certain embodiments, lateral movement is enhanced by the rotational movement of an eccentric mass. The center of mass of the eccentric mass is off the z-coordinate midline of the vibratory tool. The eccentric mass is rotated about the vibratory tool causing substantial motion in the directions perpendicular to the axis of the vibratory tool. From a coordinate perspective, with the z-axis running the length of the vibratory tool, the eccentric mass causes movement in the x- and y-directions. In a preferred embodiment as shown in
(42) In some embodiments, the eccentric mass is an elongated piece with pronounced asymmetry such that its center of mass on an axis perpendicular to the z-axis, or longitudinal axis, is offset of the centerline of the vibratory tool. With respect to the embodiment shown in
(43) In some embodiments, power is generated by a rotor and stator arrangement. In a preferred embodiment, the rotor has five lobes and the stator has six lobes. The flow of drilling fluid along the rotor provides torque as it rotates within the stator. In some embodiments, the stator is constructed of materials that minimize the likelihood of delamination from the housing. The rotor-stator can have various numbers of lobes. In the embodiment of
(44) In some embodiments, the rotor stator power section assembly is connected to the eccentric mass assembly with the use of the transmission section, where the eccentric motion from the rotor is transmitted as concentric motion to the eccentric mass and drive shaft using a constant-velocity (CV) joint and a CV shaft. As shown in the partially exploded embodiment of the transmission section of
(45) In a preferred arrangement, the vibratory tool is placed several thousand feet behind the bottom hole assembly, e.g., drill collars, subs such as stabilizers, reamers, shocks, hole-openers, and the bit sub and drilling bit. In this arrangement, the vibratory tool can provide pulsating forces along the drill string and to the drilling bit and can provide lateral forces to reduce the incidence of static friction.
(46) In some arrangements, the tool is deployed with one or more shock tools fore or aft of the three axis vibration tool described herein. The shock tool can be utilized to reduce impact loading on the bottom hole assembly to extend bit life. The shock tool absorbs axial vibrations and isolates those vibrations from the bottom hole assembly. In doing so, the shock tool reduces lateral and torsional drill string vibrations, and related fatigue damage or failure of the rotary connections.
(47) The teachings herein provide for, among other things, a downhole vibrating tool comprising a power station comprising a rotor and a stator; an axial shock assembly comprising a valve assembly; and a lateral vibration assembly comprising an eccentric mass, wherein the valve assembly comprises a rotating valve and a stationary valve, the rotating valve being rotated by the power station wherein the rotor is a five lobe rotor and the stator is a six lobe stator, wherein the eccentric mass is rotated by the power station wherein the rotor and stator generate torque through fluid flow through the vibratory tool, and wherein said rotor is rotationally coupled with the eccentric mass by a constant velocity shaft, the constant velocity shaft being functionally coupled with both the rotor and the eccentric mass.
(48) Some aspects of the present disclosure include a vibrating tool having an interconnected power section, axial shock assembly and lateral vibration assembly wherein the power section comprising a rotor and a stator, the rotor comprising a plurality of lobes and the stator comprising a second plurality of recesses adapted to receive the plurality of lobes, the number of recesses greater than the number of lobes; the axial shock assembly comprising a valve assembly, the axial shock assembly adapted to vary fluid flow therethrough; and the lateral vibration assembly comprising an eccentric mass; wherein the power section, the axial shock assembly and the lateral vibration assembly are aligned linearly.
(49) Some aspects of the present disclosure include the tool above wherein the valve assembly comprises a rotating valve and a stationary valve, the rotating valve being rotated by the power section.
(50) Some aspects of the present disclosure include the tool above wherein the rotor is a five lobe rotor and the stator is a six lobe stator.
(51) Some aspects of the present disclosure include the tool above wherein the eccentric mass that is rotated by the power section.
(52) Some aspects of the present disclosure include the tool above wherein the rotor and stator that generate torque through fluid flow through the vibrating tool, and wherein said rotor is rotationally coupled with the eccentric mass by a constant velocity shaft, the constant velocity shaft being functionally coupled with both the rotor and the eccentric mass.
(53) Some aspects of the present disclosure include the vibrating tool above, wherein the rotating valve comprises a pass through section offset from a centerline of the rotating valve; and wherein the vibrating tool is tuned such that the eccentric mass is within 10° of the pass through section.
(54) Some aspects of the present disclosure include the tool above wherein the valve assembly comprises a rotating valve and a stationary valve sized and positioned such that the valve assembly has a highest flow-through area and a lowest flow-through area, wherein the ratio of the highest flow-through area to the lowest flow-through area is greater than 10:1.
(55) Some aspects of the present disclosure include the tool above wherein at least one of the rotating valve and the stationary valve comprising a fan-shaped pass-through area.
(56) Some aspects of the present disclosure include the tool above wherein the eccentric mass that comprises a substantially cylindrical mid-section with a wall thickness that varies from its thickest to its thinnest at a ratio of greater than 5:1.
(57) Some aspects of the present disclosure include the tool above wherein the vibrating tool has an aft end and a fore end, wherein the fore end is an end of the vibrating tool in the direction of drilling; wherein to vibrating tool is axially arranged from the fore end to the aft end: the axial shock assembly, the lateral vibration assembly, and the power section.
(58) Some aspects of the present disclosure include the tool above wherein at least one of the rotating valve and the stationary valve comprising a circular pass-through section and a fan-shaped pass-through section and the other of the rotating valve and the stationary valve comprises two circular pass-through sections; and the rotating valve can rotate about an axis and with the stationary valve form an open-most configuration and a closed-most configuration, wherein the open-most configuration comprises a total open-most pass-through area in which a circular pass-through section of the rotating valve and a circular pass-through section of the stationary valve are axially concentric and the other circular pass-through section of the stationary valve or the rotating valve and the fan-shaped pass-through section have a largest overlap; and wherein the closed-most configuration comprises a total closed-most pass-through area in which the fan-shaped pass-through section of the rotating valve or the stationary valve is not axially aligned with any portion of the two circular pass-through sections on the other of the rotating valve or the stationary valve and the circular pass-through section of the same rotating valve or the stationary valve is minimally axially aligned with the two circular pass-through sections of the of the other of the rotating valve or the stationary valve.
(59) Some aspects of the present disclosure include the tool above wherein each of the circular pass-through areas that are the same diameter; the total pass-through area in the closed-most configuration is 8-16% of the pass-through area of one of the circular pass-through areas; and the total pass-through area in the open-most configuration is 170-195% of the pass-through area of one of the circular pass-through areas.
(60) Some aspects of the present disclosure include a three axis vibrating tool for use in a drilling string having an operating state, comprising: a power section powered by fluid flow that generates torque when in its operating state; a lateral vibration section comprising lateral vibration components that, when in its operating state, vibrate the tool in a lateral direction, the lateral direction being perpendicular to the drilling string at a point nearest the vibrating tool; an axial vibration section comprising axial vibration components that, when in its operating state, vibrate the tool in an axial direction, the axial direction being parallel to the drilling string at a point nearest the vibrating tool; and wherein the power section is aft of the lateral vibration section and the lateral vibration section is aft of the axial vibration section; and wherein in the operating state, the torque is transferred to the lateral vibration section and the axial vibration section to cause movement of at least one of the lateral vibration components and at least one of the axial vibration components, resulting in vibration in the lateral direction and the axial direction.
(61) Some aspects of the present disclosure include the three axis vibrating tool having a centerline, such centerline being defined as a line parallel with the longest dimension of the three axis vibrating tool and located at the center of a cross section of a cylindrical portion of the three axis vibrating tool; and the lateral vibration section comprises an eccentric mass, said eccentric mass having a center of mass distant from the centerline and capable of rotation about the centerline.
(62) Some aspects of the present disclosure include the tool above wherein the power section comprising a five lobe stator and a six lobe rotor.
(63) Some aspects of the present disclosure include the tool above wherein the axial vibration section comprising a valve comprising a plurality of valves plates, at least one of the plurality of valve plates capable of rotation about the centerline and at least one of the plurality of valve plates stationary about the centerline.
(64) Some aspects of the present disclosure include the tool above wherein the valve is positionable at different total pass-through areas, the different total pass-through areas defined by areas created by overlap of pass-through areas of the plurality of valve plates in the valve plates' different positions as the at least one valve plate rotates about the centerline, wherein for all different positions of the valve plates, the total pass-through area is greater than zero.
(65) Some aspects of the present disclosure include the tool above wherein at least one of the plurality of valve plates has a fan-shaped pass-through area and a circular pass-through area, and at least one of the plurality of valve plates has two circular pass through areas.
(66) Some aspects of the present disclosure include the tool above wherein each pass-through area on each of the plurality of valve plates is sized and positioned such that some portion of a pass-through area of each of the plurality of valve plates overlaps with some portion of a pass-through area of each of the other valve plates at all positions of the at least one of the plurality of valve plate capable of rotation about the centerline.
(67) Some aspects of the present disclosure include the tool above wherein the valve is positionable at an open-most configuration and a closed-most configuration, wherein in the open-most configuration a pass-through area of at least one of the plurality of valve plates capable of rotating about the centerline is axially collinear with a pass-through area of at least one of a plurality of valve plates incapable of rotating about the centerline, and the closed-most configuration is the configuration in which a valve plate capable of rotation about the centerline is rotated 90 degrees from the open-most configuration.
(68) The reader should appreciate that the present application describes several inventions. Rather than separating those inventions into multiple isolated patent applications, applicants have grouped these inventions into a single document because their related subject matter lends itself to economies in the application process. But the distinct advantages and aspects of such inventions should not be conflated. In some cases, embodiments address all of the deficiencies noted herein, but it should be understood that the inventions are independently useful, and some embodiments address only a subset of such problems or offer other, unmentioned benefits that will be apparent to those of skill in the art reviewing the present disclosure. Due to costs constraints, some inventions disclosed herein may not be presently claimed and may be claimed in later filings, such as continuation applications or by amending the present claims. Similarly, due to space constraints, neither the Abstract nor the Summary of the Invention sections of the present document should be taken as containing a comprehensive listing of all such inventions or all aspects of such inventions.
(69) It should be understood that the description and the drawings are not intended to limit the invention to the particular form disclosed, but to the contrary, the intention is to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the present invention as defined by the appended claims. Further modifications and alternative embodiments of various aspects of the invention will be apparent to those skilled in the art in view of this description. Accordingly, this description and the drawings are to be construed as illustrative only and are for the purpose of teaching those skilled in the art the general manner of carrying out the invention. It is to be understood that the forms of the invention shown and described herein are to be taken as examples of embodiments. Elements and materials may be substituted for those illustrated and described herein, parts and processes may be reversed or omitted, and certain features of the invention may be utilized independently, all as would be apparent to one skilled in the art after having the benefit of this description of the invention. Changes may be made in the elements described herein without departing from the spirit and scope of the invention as described in the following claims. Headings used herein are for organizational purposes only and are not meant to be used to limit the scope of the description.
(70) As used throughout this application, the word “may” is used in a permissive sense (i.e., meaning having the potential to), rather than the mandatory sense (i.e., meaning must). The words “include”, “including”, and “includes” and the like mean including, but not limited to. As used throughout this application, the singular forms “a,” “an,” and “the” include plural referents unless the content explicitly indicates otherwise. Thus, for example, reference to “an element” or “a element” includes a combination of two or more elements, notwithstanding use of other terms and phrases for one or more elements, such as “one or more.” The term “or” is, unless indicated otherwise, non-exclusive, i.e., encompassing both “and” and “or.” Terms describing conditional relationships, e.g., “in response to X, Y,” “upon X, Y,”, “if X, Y,” “when X, Y,” and the like, encompass causal relationships in which the antecedent is a necessary causal condition, the antecedent is a sufficient causal condition, or the antecedent is a contributory causal condition of the consequent, e.g., “state X occurs upon condition Y obtaining” is generic to “X occurs solely upon Y” and “X occurs upon Y and Z.” Such conditional relationships are not limited to consequences that instantly follow the antecedent obtaining, as some consequences may be delayed, and in conditional statements, antecedents are connected to their consequents, e.g., the antecedent is relevant to the likelihood of the consequent occurring. Statements in which a plurality of attributes or functions are mapped to a plurality of objects (e.g., one or more processors performing steps A, B, C, and D) encompasses both all such attributes or functions being mapped to all such objects and subsets of the attributes or functions being mapped to subsets of the attributes or functions (e.g., both all processors each performing steps A-D, and a case in which processor 1 performs step A, processor 2 performs step B and part of step C, and processor 3 performs part of step C and step D), unless otherwise indicated. Further, unless otherwise indicated, statements that one value or action is “based on” another condition or value encompass both instances in which the condition or value is the sole factor and instances in which the condition or value is one factor among a plurality of factors. Unless otherwise indicated, statements that “each” instance of some collection have some property should not be read to exclude cases where some otherwise identical or similar members of a larger collection do not have the property, i.e., each does not necessarily mean each and every. Limitations as to sequence of recited steps should not be read into the claims unless explicitly specified, e.g., with explicit language like “after performing X, performing Y,” in contrast to statements that might be improperly argued to imply sequence limitations, like “performing X on items, performing Y on the X'ed items,” used for purposes of making claims more readable rather than specifying sequence. Statements referring to “at least Z of A, B, and C,” and the like (e.g., “at least Z of A, B, or C”), refer to at least Z of the listed categories (A, B, and C) and do not require at least Z units in each category. Unless specifically stated otherwise, as apparent from the discussion, it is appreciated that throughout this specification discussions utilizing terms such as “processing,” “computing,” “calculating,” “determining” or the like refer to actions or processes of a specific apparatus, such as a special purpose computer or a similar special purpose electronic processing/computing device. Features described with reference to geometric constructs, like “parallel,” “perpendicular/orthogonal,” “square”, “cylindrical,” and the like, should be construed as encompassing items that substantially embody the properties of the geometric construct, e.g., reference to “parallel” surfaces encompasses substantially parallel surfaces. The permitted range of deviation from Platonic ideals of these geometric constructs is to be determined with reference to ranges in the specification, and where such ranges are not stated, with reference to industry norms in the field of use, and where such ranges are not defined, with reference to industry norms in the field of manufacturing of the designated feature, and where such ranges are not defined, features substantially embodying a geometric construct should be construed to include those features within 15% of the defining attributes of that geometric construct. With respect to the cylindrical arrangement, shape, or orientation of particular portions, components or assemblies, the description should be understood in context of the art at issue, in that the overwhelming majority of all devices used in this field tend to be cylindrical in nature or designed to fit within cylindrical tubing or holes. As such, cylindrical (and the like) descriptions should be understood to allow for substantial deviation from the Platonic ideal and instead interpreted to mean that the described object is designed to function in a cylindrical environment with little interference.