Methods for producing fluid migration resistant cement slurries
09624419 ยท 2017-04-18
Assignee
Inventors
- Merouane Khammar (Houston, TX, US)
- Flavio H. Marchesini (Rio de Janeiro, BR)
- Ashok Santra (The Woodlands, TX, US)
- Maria das Dores M. Paiva (Natal, BR)
- Thomas Sodhi (New Caney, TX, US)
Cpc classification
C04B2103/46
CHEMISTRY; METALLURGY
C09K8/42
CHEMISTRY; METALLURGY
C04B28/02
CHEMISTRY; METALLURGY
C04B18/101
CHEMISTRY; METALLURGY
C09K8/46
CHEMISTRY; METALLURGY
C04B2103/0088
CHEMISTRY; METALLURGY
C04B40/0032
CHEMISTRY; METALLURGY
C04B2103/0088
CHEMISTRY; METALLURGY
C09K8/487
CHEMISTRY; METALLURGY
E21B33/13
FIXED CONSTRUCTIONS
C04B28/02
CHEMISTRY; METALLURGY
C04B18/101
CHEMISTRY; METALLURGY
C04B2103/46
CHEMISTRY; METALLURGY
C04B40/0096
CHEMISTRY; METALLURGY
Y02W30/91
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
International classification
C04B28/02
CHEMISTRY; METALLURGY
C09K8/46
CHEMISTRY; METALLURGY
C09K8/487
CHEMISTRY; METALLURGY
Abstract
Methods including providing a wellbore in a subterranean formation; providing a proposed cement slurry; calculating a fluid migration threshold; manipulating the proposed cement slurry based on the fluid migration threshold so as to produce a fluid migration resistant cement slurry; introducing the fluid migration resistant cement slurry into the wellbore in the subterranean formation; and curing the fluid migration resistant cement slurry in the wellbore in the subterranean formation.
Claims
1. A method comprising: providing a wellbore in a subterranean formation; providing a proposed cement slurry comprising a base fluid and a cementitious material; calculating a fluid migration threshold pressure, the fluid migration threshold pressure (P.sub.C) being the critical pressure required to cause a break in the proposed cement slurry during hydration and based on elastic fracture mechanics due to crack propagation shape, and calculated using the formula:
2. The method of claim 1, wherein the cementitious material is a hydraulic cement.
3. The method of claim 1, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting the amount of the cementitious material.
4. The method of claim 1, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting the amount of the base fluid.
5. The method of claim 1, wherein the proposed cement slurry formulation further comprises a pozzolanic material.
6. The method of claim 5, wherein the pozzolanic material is selected from the group consisting of silica fume; metakaolin; fly ash; diatomaceous earth; calcined or uncalcined diatomite; calcined fullers earth; pozzolanic clays; calcined or uncalcined volcanic ash; bagasse ash; pumice; pumicite; rice hull ash; natural and synthetic zeolites; slag; vitreous calcium aluminosilicate; and any combinations thereof.
7. The method of claim 5, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting an amount of the pozzolanic material.
8. The method of claim 1, wherein the proposed cement slurry further comprises a cement additive selected from the group consisting of a defoamer; a cement accelerator; a cement retarder; a fluid-loss additive; a cement dispersant; a cement extender; a weighting agent; a lost circulation additive; and any combinations thereof.
9. The method of claim 8, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting the amount of the cement additive.
10. A method comprising: providing a wellbore in a subterranean formation; providing a proposed cement slurry comprising a base fluid and a cementitious material; calculating a fluid migration threshold pressure at a given time, the fluid migration threshold pressure being the critical pressure required to cause a break in the proposed cement slurry during hydration and based on elastic fracture mechanics due to crack propagation shape, and calculated using the formula:
11. The method of claim 10, wherein the cementitious material is a hydraulic cement.
12. The method of claim 10, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting the amount of the cementitious material.
13. The method of claim 10, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting the amount of the base fluid.
14. The method of claim 10, wherein the proposed cement slurry formulation further comprises a pozzolanic material.
15. The method of claim 14, wherein the pozzolanic material is selected from the group consisting of silica fume; metakaolin; fly ash; diatomaceous earth; calcined or uncalcined diatomite; calcined fullers earth; pozzolanic clays; calcined or uncalcined volcanic ash; bagasse ash; pumice; pumicite; rice hull ash; natural and synthetic zeolites; slag; vitreous calcium aluminosilicate; and any combinations thereof.
16. The method of claim 14, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting an amount of the pozzolanic material.
17. The method of claim 10, wherein the proposed cement slurry further comprises a cement additive selected from the group consisting of a defoamer; a cement accelerator; a cement retarder; a fluid-loss additive; a cement dispersant; a cement extender; a weighting agent; a lost circulation additive; and any combinations thereof.
18. The method of claim 17, wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by adding, removing, or adjusting the amount of the cement additive.
Description
BRIEF DESCRIPTION OF THE FIGURES
(1) The following figures are included to illustrate certain aspects of the embodiments herein, and should not be viewed as exclusive embodiments. The subject matter disclosed is capable of considerable modifications, alterations, combinations, and equivalents in form and function, as will occur to those skilled in the art and having the benefit of this disclosure.
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DETAILED DESCRIPTION
(15) The embodiments herein relate to methods for producing fluid migration resistant cement slurries.
(16) When a cement slurry hydrates in an annulus between a casing and a subterranean formation, it forms a gel structure. When the hydrostatic pressure of the hydrating cement slurry drops below the formation pore pressure, the risk of fluid migration depends, at least in part, on the excess pressure and the mechanical properties of the gel structure of the cement slurry. If fluid percolates into the gel structure, fluid bubbles may grow by tensile crack propagation, causing the cement to form a cracked sheath upon complete hydration.
(17) The embodiments herein relate to predicting the fluid migration potential in a proposed cement slurry (as used herein, the term proposed cement slurry and the cement slurry are used interchangeably) after primary cementing in order to produce a fluid migration resistant cement slurry. The embodiments herein provide for methods that evaluate the fluid migration threshold of a hydrating cement slurry. Based on this, the cement slurry can be manipulated in order to produce a fluid migration resistant cement slurry. As used herein, the term fluid migration resistant cement slurry generally refers to a cement slurry that is capable of preventing or reducing fluid migration after primary cementing. Specifically, a fluid migration resistant cement slurry has a fluid migration threshold pressure that exceeds the formation pore pressure. More specifically, the fluid migration resistant cement slurry of the embodiments herein has a fluid migration threshold pressure that exceeds the formation pore pressure of a specific subterranean formation. One goal of the embodiments herein may be, for example, to manipulate cement slurry so as to maximize the rate of increase over time of the fluid migration threshold, as depicted in
(18) In some embodiments, a method is provided comprising providing a wellbore in a subterranean formation; providing a proposed cement slurry; calculating a fluid migration threshold; manipulating the proposed cement slurry based on the fluid migration threshold so as to produce a fluid migration resistant cement slurry; introducing the fluid migration resistant cement slurry into the wellbore in the subterranean formation; and curing the fluid migration resistant cement slurry in the wellbore in the subterranean formation.
(19) I. Cement Slurry and Fluid Migration Resistant Cement Slurry Properties
(20) In some embodiments, the cement slurry and the fluid migration resistant cement slurry of the embodiments herein comprise a base fluid and a cementitious material. Any aqueous base fluid suitable for use in a subterranean operation (e.g., drilling or completion operations) may be used in the cement slurry or fluid migration resistant cement slurry of the embodiments herein. Suitable base fluids include, but are not limited to, freshwater; saltwater (e.g., water containing one or more salts dissolved therein); brine (e.g., saturated saltwater); seawater; and any combination thereof. Generally, the base fluid may be from any source, provided, for example, that it does not contain an excess of compounds that may undesirably affect other components in the cement slurry or fluid migration resistant cement slurry. In some embodiments, the base fluid may be included in an amount sufficient to form a pumpable slurry. In some embodiments, the base fluid in the cement slurry may be foamed or gelled.
(21) The cementitious material of the embodiments herein may be any cementitious material suitable for use in subterranean operations. In preferred embodiments, the cementitious material may be a hydraulic cement. Hydraulic cements harden by the process of hydration due to chemical reactions to produce insoluble hydrates (e.g., calcium hydroxide) that occur independent of the cement's water content (e.g., hydraulic cements can harden even under constantly damp conditions). Thus, hydraulic cements are preferred because they are capable of hardening regardless of the water content of a particular subterranean formation. Suitable hydraulic cements include, but are not limited to Portland cement; Portland cement blends (e.g., Portland blast-furnace slag cement and/or expansive cement); non-Portland hydraulic cement (e.g., super-sulfated cement, calcium aluminate cement, and/or high magnesium-content cement); and any combination thereof.
(22) In some embodiments, the cement slurry or the fluid migration resistant cement slurry may additionally comprise a pozzolanic material. Pozzolanic materials may aid in increasing the density and strength of the cementitious material. As used herein, the term pozzolanic material refers to a siliceous material that, while not being cementitious, is capable of reacting with calcium hydroxide (which may be produced during hydration of the cementitious material). Because calcium hydroxide accounts for a sizable portion of most hydrated hydraulic cements and because calcium hydroxide does not contribute to the cement's properties, the combination of cementitious and pozzolanic materials may synergistically enhance the strength and quality of the cement. Any pozzolanic material that is reactive with the cementitious material may be used in the methods of the embodiments herein. Suitable pozzolanic materials include, but are not limited to silica fume; metakaolin; fly ash; diatomaceous earth; calcined or uncalcined diatomite; calcined fullers earth; pozzolanic clays; calcined or uncalcined volcanic ash; bagasse ash; pumice; pumicite; rice hull ash; natural and synthetic zeolites; slag; vitreous calcium aluminosilicate; and any combinations thereof. In some embodiments, the pozzolanic material may be present in an amount in the range of a lower limit of about 5%, 7.5%, 10%, 12.5%, 15%, 17.5%, 20%, 22.5%, 25%, 27.5%, 30%, and 32.5% to an upper limit of about 60%, 57.5%, 55%, 52.5%, 50%, 47.5%, 45%, 42.5%, 40%, 37.5%, 35%, and 32.5% by weight of the dry cementitious material. In preferred embodiments, the pozzolanic material may be present in an amount of about 5% to about 30% by weight of the dry cementitious material.
(23) In some embodiments, the cement slurry or the fluid migration resistant cement slurry of the embodiments herein may further comprise any cement additive capable of use in a subterranean operation. Cement additives may be added in order to modify the characteristics of the cement slurry or the fluid migration resistant cement slurry. Such cement additives include, but are not limited to, a defoamer; a cement accelerator; a cement retarder; a fluid-loss additive; a cement dispersant; a cement extender; a weighting agent; a lost circulation additive; and any combinations thereof. The cement additives of the embodiments herein may be in any form, including powder form or liquid form.
(24) In some embodiments, the cement slurry or the fluid migration resistant cement slurry of the embodiments herein may comprise a base fluid, a cementitious material, and any of one, more than one, or all of a pozzolanic material and a cement additive. Based on the fluid migration threshold and curing time, the cement slurry of the embodiments herein may be manipulated either by adding, removing or adjusting the presence or absence or amount of the base fluid, cementitious material, pozzolanic material, if present, or cement additive, if present, in order to produce the fluid migration resistant cement slurry of the embodiments herein. In some embodiments, the components of the cement slurry may be both adjusted, removed, and/or added to produce the fluid migration resistant cement slurry.
(25) II. Fluid Migration Threshold
(26) The potential of fluid migration in a cement slurry is related to the potential of a fluid (which may also be referred to herein as a bubble) to migrate within a cement slurry and encompasses the fluid migration threshold of the cement slurry. The fluid migration threshold describes a critical pressure at which a crack will form in a hydrating cement slurry, and the critical pressure varies with time (e.g., the fluid migration threshold will increase the longer a cement slurry has to hydrate and harden). That is, the fluid migration threshold describes the pressure that must be exerted by an external fluid in order to penetrate and cause cracks within a hydrating cement slurry. The fluid migration threshold may depend, at least in part, upon the mechanical properties of the cement slurry and pressure differences between an external fluid and the hydrating cement slurry. Additionally, it may be related to the type and amount of cementitious material and base fluid in the cement slurry, as well as the type and amount of any pozzolanic material and/or cement additives.
(27) The time at which a crack propagation may occur within a hydrating cement slurry corresponds to the time at which the fluid migration threshold is reached and the critical pressure of the fluid is able to overcome the opposing pressures and strength of the cement slurry. The fluid migration threshold, P.sub.C, may be determined based on linear elastic fracture mechanics due to the crack propagation shape formed when fluid migrates within a hydrating cement slurry:
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where K.sub.IC is the tensile fracture toughness of the cement slurry. K.sub.IC may be evaluated using a fracture probe instrument which slowly penetrates the cement slurry to measure the fracture toughness at specified depths and hydration degrees. Fracture probe instruments are used to determine tensile fracture toughness in marine cohesive sediments. is Poisson's ratio and E is Young's modulus which may be obtained, for example, using a flat dilatometer, which may be a miniature flat dilatometer depending on the application, which slowly penetrates the cement slurry to measure the Young's modulus value at specified depths and hydration degrees. Flat dilatometers are commonly used to determine Young's modulus values in marine cohesive sediments. Finally, V.sub.bub, the initial volume of the bubble, may be estimated using the equation:
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where r is the radius of a pore through which fluid may traverse to enter into the hydrating cement slurry and cause crack propagation (e.g., a pore in a subterranean formation).
III. Fluid Migration Threshold Time
(30) In some embodiments, a method is provided herein comprising providing a wellbore in a subterranean formation; providing a proposed cement slurry; calculating a fluid migration threshold; calculating a fluid migration threshold time; manipulating the proposed cement slurry based on the fluid migration threshold and the fluid migration time so as to produce a fluid migration resistant cement slurry; introducing the fluid migration resistant cement slurry into the wellbore in the subterranean formation; and curing the fluid migration resistant cement slurry in the wellbore in the subterranean formation. The fluid migration threshold pressure (P.sub.C) of the hydrating cement slurry may be used to determine the fluid migration threshold time. The fluid migration resistant cement slurry of the embodiments herein may be preferably formed such that the fluid migration threshold pressure (P.sub.C) exceeds the formation pore pressure.
(31) During hydration, the fluid migration threshold (P.sub.C) of a cement slurry varies with time, and is thus necessarily represented by multiple values on a line, as shown in
P.sub.net=P.sub.cementP.sub.ob (3)
where P.sub.cement is the transient hydrostatic pressure drop in the hydrating cement slurry during hydration and where P.sub.ob is the overburden pressure between the initial hydrostatic pressure of the cement slurry and the formation pore pressure.
IV. Fluid Flow Potential Ratio
(32) In some embodiments, the embodiments herein provide for a method comprising providing a wellbore in a subterranean formation; providing a proposed cement slurry; calculating a fluid migration threshold; calculating a fluid migration threshold time; calculating a fluid flow potential ratio value at the fluid migration threshold time; manipulating the proposed cement slurry based on the fluid flow potential ratio so as to reduce the value of the fluid flow potential ratio and produce a fluid migration resistant cement slurry; introducing the fluid migration resistant cement slurry into the wellbore in the subterranean formation; and curing the fluid migration resistant cement slurry in the wellbore in the subterranean formation.
(33) As used herein, the term fluid flow potential ratio refers to the severity of fluid invasion at a particular fluid migration threshold time in a particular subterranean formation. The fluid flow potential ratio is calculated by the formula:
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where FFP is the fluid flow potential ratio. (P.sub.cement).sub.threshold) is the hydrostatic pressure drop in the hydrating cement slurry during hydration at the time the fluid migration threshold is reached and P.sub.ob is the overburden pressure defined as the difference between the initial hydrostatic pressure of the cement slurry, P.sub.cement and the formation pore pressure, P.sub.f.
(35) If the fluid flow potential ratio exceeds 1, at least minimal fluid flow at the time of reaching the fluid migration threshold time may be possible. As the fluid flow potential ratio increases in value, the severity of fluid flow at the time of reaching the fluid migration threshold time also occurs. A goal of the embodiments herein may be to reduce the value of the fluid flow potential ratio as much as possible so as to ensure that a fluid migration resistant cement slurry is formed.
(36) Embodiments disclosed herein include:
(37) A. A method comprising: providing a wellbore in a subterranean formation; providing a proposed cement slurry; calculating a fluid migration threshold; manipulating the proposed cement slurry based on the fluid migration threshold so as to produce a fluid migration resistant cement slurry; introducing the fluid migration resistant cement slurry into the wellbore in the subterranean formation; and curing the fluid migration resistant cement slurry in the wellbore in the subterranean formation.
(38) B. A method comprising: providing a wellbore in a subterranean formation; providing a proposed cement slurry; calculating a fluid migration threshold; calculating a fluid flow potential ratio value at the fluid migration threshold time; manipulating the proposed cement slurry based on the fluid flow potential ratio so as to reduce the value of the fluid flow potential ratio and produce a fluid migration resistant cement slurry; introducing the fluid migration resistant cement slurry into the wellbore in the subterranean formation; and curing the fluid migration resistant cement slurry in the wellbore in the subterranean formation.
(39) Each of embodiments A and B may have one or more of the following additional elements in any combination:
(40) Element 1: Wherein the proposed cement slurry comprises a base fluid and a cementitious material.
(41) Element 2: Wherein the cementitious material is a hydraulic cement.
(42) Element 3: Wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by altering an amount of the cementitious material.
(43) Element 4: Wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by altering an amount of the base fluid.
(44) Element 5: Wherein the proposed cement slurry formulation further comprises a pozzolanic material.
(45) Element 6: Wherein the proposed cement slurry formulation further comprises a pozzolanic material selected from the group consisting of silica fume; metakaolin; fly ash; diatomaceous earth; calcined or uncalcined diatomite; calcined fullers earth; pozzolanic clays; calcined or uncalcined volcanic ash; bagasse ash; pumice; pumicite; rice hull ash; natural and synthetic zeolites; slag; vitreous calcium aluminosilicate; and any combinations thereof.
(46) Element 7: Wherein the proposed cement slurry formulation further comprises a pozzolanic material, and wherein the proposed cement slurry formulation is manipulated to produce the fluid migration resistant cement slurry by altering an amount of the pozzolanic material.
(47) Element 8: Wherein the proposed cement slurry further comprises a cement additive selected from the group consisting of a defoamer; a cement accelerator; a cement retarder; a fluid-loss additive; a cement dispersant; a cement extender; a weighting agent; a lost circulation additive; and any combinations thereof.
(48) By way of non-limiting example, exemplary combinations applicable to A, B, C include: A with 2, 4, and 8; A with 2 and 6; B with 2, 5, and 7; and B with 2, 3, 4, and 5.
(49) To facilitate a better understanding of the embodiments herein, the following examples of preferred or representative embodiments are given. In no way should the following examples be read to limit, or to define, the scope of the disclosure.
Example 1
(50) In this example, a cement slurry was evaluated to determine the correlation between the elapse of time after mixing the cement slurry components and the fluid migration threshold. The experimental set up 10 depicted in
(51) In this example, the fluid migration threshold pressure was measured after applying air into the cement slurry 25 in the experimental set up 10, as described above, after the elapse of either 60 minutes, 75 minutes, 90 minutes, 105 minutes, and 120 minutes after preparing the cement slurry. The results demonstrate that the fluid migration threshold pressure required to begin crack propagation within cement slurry 25 increased as the cement slurry 25 had additional time to hydrate. The results are depicted in
Example 2
(52) In this example, the experimental set up and cement slurry of Example 1 were used to inject air at a constant flow rate of 10 mL/min after the elapse of 75 minutes after preparing the cement slurry. Using MATLAB Software, a 3D reconstruction of the fluid migration and flow prior to the cement slurry fully hydrating was prepared and is depicted in
(53) CT scans were also performed at varying elevations of traverse planes of the fully hydrated cement slurry, demonstrating the cracks formed through crack propagation, as shown in
Example 4
(54) In this example, the experimental set up and cement slurry of Example 1 were used to inject air at a constant flow rate of 10 mL/min after the elapse of 90 minutes after preparing the cement slurry. A 3D reconstruction was created of the crack propagation in the cement slurry once the fluid migration threshold was breached at the tip of the needle 30 (from
(55) The CT scans are shown in
Example 5
(56) In this example, the experimental set up and cement slurry of Example 1 were used to inject air at a constant flow rate of 10 mL/min after the elapse of 120 minutes after preparing the cement slurry. CT scans also performed at varying elevations of traverse planes of the fully hydrated cement slurry, demonstrating thin cracks formed through crack propagation, as shown in
(57) The CT scans are shown in
(58) In various embodiments, systems configured for preparing, transporting, and delivering the fluid migration resistant cement slurry described herein to a downhole location are described. In various embodiments, the systems can comprise a pump fluidly coupled to a tubular (e.g., a casing, drill pipe, production tubing, coiled tubing, etc.) extending into a wellbore penetrating a subterranean formation, the tubular may be configured to circulate or otherwise convey the fluid migration resistant cement slurry described herein. The pump may be, for example, a high pressure pump or a low pressure pump, which may depend on, inter alia, the viscosity and density of the fluid migration resistant cement slurry, the type of the cementing operation, and the like.
(59) In some embodiments, the systems described herein may further comprise a mixing tank arranged upstream of the pump and in which the fluid migration resistant cement slurry may be formulated. In various embodiments, the pump (e.g., a low pressure pump, a high pressure pump, or a combination thereof) may convey the fluid migration resistant cement slurry from the mixing tank or other source of the fluid migration resistant cement slurry to the tubular. In other embodiments, however, the fluid migration resistant cement slurry can be formulated offsite and transported to a worksite, in which case the fluid migration resistant cement slurry may be introduced to the tubular via the pump directly from a transport vehicle or a shipping container (e.g., a truck, a railcar, a barge, or the like) or from a transport pipeline. In yet other embodiments, the fluid migration resistant cement slurry may be formulated on the fly at the well site where components of the fluid migration resistant cement slurry are pumped from a transport (e.g., a vehicle or pipeline) and mixed during introduction into the tubular. In any case, the fluid migration resistant cement slurry may be drawn into the pump, elevated to an appropriate pressure, and then introduced into the tubular for delivery downhole.
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(61) One skilled in the art, with the benefit of this disclosure, should recognize the changes to the system described in
(62) It is also to be recognized that the disclosed fluid migration resistant cement slurry may also directly or indirectly affect the various downhole equipment and tools that may come into contact with the treatment fluids during operation. Such equipment and tools may include, but are not limited to, wellbore casing, wellbore liner, completion string, insert strings, drill string, coiled tubing, slickline, wireline, drill pipe, drill collars, mud motors, downhole motors and/or pumps, surface-mounted motors and/or pumps, centralizers, turbolizers, scratchers, floats (e.g., shoes, collars, valves, etc.), wellbore projectiles (e.g., wipers, plugs, darts, balls, etc.), logging tools and related telemetry equipment, actuators (e.g., electromechanical devices, hydromechanical devices, etc.), sliding sleeves, production sleeves, plugs, screens, filters, flow control devices (e.g., inflow control devices, autonomous inflow control devices, outflow control devices, etc.), couplings (e.g., electro-hydraulic wet connect, dry connect, inductive coupler, etc.), control lines (e.g., electrical, fiber optic, hydraulic, etc.), surveillance lines, drill bits and reamers, sensors or distributed sensors, downhole heat exchangers, valves and corresponding actuation devices, tool seals, packers, cement plugs, bridge plugs, and other wellbore isolation devices, or components, and the like. Any of these components may be included in the systems generally described above and depicted in
(63) Therefore, the embodiments herein are well adapted to attain the ends and advantages mentioned as well as those that are inherent therein. The particular embodiments disclosed above are illustrative only and may be modified and practiced in different but equivalent manners apparent to those skilled in the art having the benefit of the teachings herein. Furthermore, no limitations are intended to the details of construction or design herein shown, other than as described in the claims below. It is therefore evident that the particular illustrative embodiments disclosed above may be altered, combined, or modified and all such variations are considered within the scope and spirit of the embodiments herein. The disclosure illustratively disclosed herein suitably may be practiced in the absence of any element that is not specifically disclosed herein and/or any optional element disclosed herein. While compositions and methods are described in terms of comprising, containing, or including various components or steps, the compositions and methods can also consist essentially of or consist of the various components and steps. All numbers and ranges disclosed above may vary by some amount. Whenever a numerical range with a lower limit and an upper limit is disclosed, any number and any included range falling within the range is specifically disclosed. In particular, every range of values (of the form, from about a to about b, or, equivalently, from approximately a to b, or, equivalently, from approximately a-b) disclosed herein is to be understood to set forth every number and range encompassed within the broader range of values. Also, the terms in the claims have their plain, ordinary meaning unless otherwise explicitly and clearly defined by the patentee. Moreover, the indefinite articles a or an, as used in the claims, are defined herein to mean one or more than one of the element that it introduces. If there is any conflict in the usages of a word or term in this specification and one or more patent or other documents that may be incorporated herein by reference, the definitions that are consistent with this specification should be adopted.