DIAMETERS

Technical Field of the invention

[0001] The present invention relates generally to devices for use in a weilbore in a subterranean formation and, more particularly (although not necessarily exclusively), to a stacked piston safety valve with different piston diameters for deployment in a well system.

Background

[0002] An oil or gas well for extracting fluids such as petroleum oil hydrocarbons from a subterranean formation can include one or more subsurface safety valves for restricting fluid flow from the well. Subsurface safety valves are used to close off a well. For example, a well may be closed in the event of an uncontrolled condition to ensure the safety of surface personnel and prevent property damage and pollution.

[0003] A spring-loaded retention mechanism for closing a subsurface safety valve may exert sufficient force to overcome downhole forces exerted by fluids in the weilbore at depths thousands of feet beiow sea level. Increasing the deployment depth for the subsurface safety valve can require the use of springs exerting correspondingly larger forces. Hydraulic control systems fo actuating the subsurface safety valve require a control line pressure sufficient to overcome the force exerted by the spring-loaded retention mechanism. Thus, increasing the depth at which the subsurface safety va!ve is deployed increases the amount of pressure required to open the closure mechanism.

[0004] Apparatuses and systems are desirable that can reduce the contro! line pressure requirements for a subsurface safety va!ve and increasing the depth at which the subsurface safety valve can be deployed.

Summary

[0005] Certain aspects and features of the present invention are directed to a stacked piston safety valve with different piston diameters that can be disposed in a wei!bore through a fluid-producing formation.

[0006] In one aspect, a piston assembly is provided that can be disposed in a wellbore through a fluid-producing formation. The piston assembly includes a first piston disposed in a first chamber, a second piston disposed in a second chamber adjacent to the first chamber, a first control line, and a second control line. The first chamber has a first diameter and the second chamber has a second diameter that is smaller than the first diameter. The first control line can selectively communicate a first pressure to the first piston in a downhole direction. The first piston is configured to apply a force to the second piston in response to the first pressure being communicated to the first piston. The second control Sine can communicate a second pressure to the first piston in an uphole direction. The second pressure can reduce an amount of force for displacing the second piston an uphole direction. [0007] In another aspect, a subsurface safety valve is provided that can be disposed in a welibore through a fluid-producing formation. The subsurface safety va!ve includes a closure mechanism and a piston assembly. The closure mechanism can be positioned in a passageway defined by a tubing string. The closure mechanism selectively prevents a flow of fluid to a portion of the passageway that is closer to a surface of the weilbore than the closure mechanism. The piston assembly includes a first piston disposed in a first chamber, a second piston disposed in a second chamber adjacent to the first chamber, a first control line, and a second control Sine. The first chamber has a first diameter and the second chamber has a second diameter that is smaller than the first diameter. The first control line can selectively communicate a first pressure to the first piston in a downhole direction. The first piston is configured to apply a force to the second piston in response to the first pressure being communicated to the first piston. The force is adapted to cause the closure mechanism to be actuated. The second control line can communicate a second pressure to the first piston in an uphole direction. The second pressure can reduce an amount of force for displacing the second piston an uphole direction.

[0008] These illustrative aspects and features are mentioned not to limit or define the invention, but to provide examples to aid understanding of the inventive concepts disclosed in this application. Other aspects, advantages, and features of the present invention will become apparent after review of the entire application. Brief Description of the Drawings

[0009] Fig. 1 is a schematic ii!ustration of a well system having a stacked piston safety valve according to one aspect of the present invention.

[0010] Fig. 2 is a cross-sectiona! side view of a stacked piston safety valve with multiple pistons having different diameters according to one aspect of the present invention.

[0011] Fig. 3 is a cross-sectional side view of opening the stacked piston safety valve with multiple pistons of different diameters according to one aspect of the present invention.

[0012] Fig. 4 is a cross-sectionai side view of closing the stacked piston safety valve with mu!tipie pistons of different diameters according to one aspect of the present invention.

[0013] Fig. 5 is a cross-sectional side view of a piston assembly with multiple pistons of different diameters that is positioned in a chamber having a sleeve according to one aspect of the present invention.

[0014] Fig. 6 is a cross-sectional side view the piston assembly positioned in the chamber having the sleeve and being actuated in a downhoie direction according to one aspect of the present invention.

[0015] Fig. 7 is a cross-sectional side view of the piston assembly positioned in the chamber having the sleeve and being actuated in an uphole direction according to one aspect of the present invention. [0016] Fig. 8 is a cross-sectional side view of a piston assemb!y with multiple pistons of different diameters and connected via a connector according to one aspect of the present invention.

[0017] Fig. 9 is a cross-sectiona! side view of actuating the piston assembly with multiple pistons of different diameters and connected via the connector in a downhoie direction according to one aspect of the present invention.

[0018] Fig. 10 is a cross-sectional side view of actuating the piston assembly with multiple pistons of different diameters and connected via the connector in an uphole direction according to one aspect of the present invention.

[0019] Fig. 11 is a cross-sectional side view of a piston assembly with multiple, integral pistons of different diameters according to one aspect of the present invention.

[0020] Fig. 12 is a cross-sectional side view of actuating the piston assembly with multiple, integral pistons of different diameters in a downhoie direction according to one aspect of the present invention.

[0021] Fig. 13 is a cross-sectional side view of actuating the piston assembly with multiple, integral pistons of different diameters in an uphole direction according to one aspect of the present invention.

[0022] Fig. 14 is a tab!e including examples of operating pressures and deptayment depths for a subsurface safety valve having different piston sizes according to one aspect of the present invention. [0023] Fig. 15 is a cross-sectiona! side view of a stacked piston safety va!ve with two pistons having a same diameter and a third piston having a different diameter according to one aspect of the present invention.

[0024] Fig. 18 is a cross-sectionai side view of opening the stacked piston safety va!ve with two pistons having a same diameter and a third piston having a different diameter according to one aspect of the present invention.

[0025] Fig. 17 is a cross-sectionai side view of closing the stacked piston safety valve with two pistons having a same diameter and a third piston having a different diameter according to one aspect of the present invention.

[0026] Fig. 18 is a cross-sectional side view of a stacked piston safety valve with three pistons each having different diameters according to one aspect of the present invention.

[0027] Fig. 19 is a cross-sectionai side view of opening the stacked piston safety valve with three pistons each having different diameters according to one aspect of the present invention.

[0028] Fig. 20 is a cross-sectional side view of closing the stacked piston safety valve with three pistons each having different diameters according to one aspect of the present invention. Detailed Description

[0029] Certain aspects and examples of the present invention are directed to a stacked piston safety valve with different piston diameters that can be disposed in a weilbore through a fluid-producing formation.

[0030] In accordance with some aspects, a subsurface safety va!ve is provided that can be disposed in a wei!bore through a fluid-producing formation. The subsurface safety valve includes a ciosure mechanism and a piston assembly that is configured to actuate the ciosure mechanism. The closure mechanism can include any device that can selectively prevent or otherwise restrict fluid flow in a well system. A non-limiting example of a closure mechanism is a flapper vaive. The piston assembly includes a first piston disposed in a first chamber, a second piston disposed in a second chamber, a first control line, and a second control line. The first chamber has a first diameter and the second chamber has a second diameter that is smaller than the first diameter. The first control line can selectively communicate a first pressure to the first piston in a downhoie direction, thereby causing the first piston to apply a force to the second piston. The force applied to the second piston can cause the closure mechanism to be actuated. For example, the second piston can apply an additional force to a flow tube that is adapted to open the c!osure mechanism. The second control line can communicate a second pressure to the first piston in an uphole direction. The second pressure communicated to the first piston in an uphole direction can reduce the amount of force used to close the closure mechanism. For example, communicating the second pressure to the first piston can reduce or eliminate a pressure differential across the first piston. Reducing or eliminating the pressure differential across the first piston can a!iow the piston assembly to be shifted in an uphoie direction by a force sufficient to displace the smaller piston alone.

[0031] A stacked piston safety valve with different piston diameters can allow for the use of safety valves having weaker springs in spring- !oaded flow tubes. The use of differently sized pistons can also provide multiple barriers for preventing gas migration into the control line. In some aspects, the stacked piston safety valve with different piston diameters can be operated as a redundant operator safety valve with different parameters for different systems.

[0032] The difference in piston size can allow a safety valve to be deployed at greater depths than conventional safety valves. For example, the deployment depth can be increased from 9300 feet for a conventional safety valve to 16,200 feet for a stacked piston safety valve with different piston diameters. The difference in piston size can also lower the control line pressure used for a deep-set safety valve. For example, control Sine pressure can be reduced from 15,000 pounds per square inch ("psi") for a conventional safety valve to 9,000 psi for a stacked piston safety valve with different piston diameters. The difference in piston size can also reduce the control line pressure used for a shallow set safety valve. For example, control line pressure can be reduced from 12,500 psi for a conventional safety valve to 8,500 psi for a stacked piston safety valve with different piston diameters.

[0033] The stacked piston safety valve with different piston diameters can be used in well systems with conventional safety valves. For examp!e, using a conventional safety valve on a shallow wei! and a stacked piston safety valve with different piston diameters on a deep-set well can reduce the contro! line pressure requirements for the entire well system to less than 12,500 psi. As used herein, the term "conventional safety valve" can include safety valves actuated by a single piston and/or safety valves actuated by multiple pistons having the same diameter.

[0034] These illustrative examples are given to introduce the reader to the genera! subject matter discussed here and are not intended to limit the scope of the disclosed concepts. The following sections describe various additional aspects and examples with reference to the drawings in which like numera s indicate like elements, and directional descriptions are used to describe the illustrative examples. The following sections use directional descriptions such as "above," "below," "upper," "lower," "upward," "downward," "left," "right," "uphoie." "downhole," etc. in relation to the illustrative examples as they are depicted in the figures, the upward direction being toward the top of the corresponding figure and the downward direction being toward the bottom of the corresponding figure, the upho!e direction being toward the surface of the well and the downhole direction being toward the toe of the well Like the illustrative examples, the numera!s and directional descriptions included in the foi Sowing sections should not be used to iimit the present invention.

[0035] Fig. 1 schematically depicts a we!! system 100 with a subsurface safety vaive that can be used with a semi-autonomous insert valve. The wel! system 100 includes a well bore 102 extending through various earth strata. The wellbore 102 has a substantially vertical section 104. The substantia!iy vertical section 104 may include a casing string 108 cemented at an upper portion of the substantially vertical section 104. The substantially vertical section 104 extends through a hydrocarbon-bearing subterranean formation 1 10.

[0036] A tubing string 1 12 extends from the surface within wellbore 102. The tubing string 1 12 can define a passageway providing a conduit for production of formation fluids to the surface.

[0037] The subsurface safety valve 1 14 is positioned within a passageway defined by the tubing string 1 12. The subsurface safety valve 1 14 is depicted as functional block in Fig. 1. Pressure from the subterranean formation 1 10 can cause fluids to flow from the subterranean formation 110 to the surface. The subsurface safety valve 1 14 can include equipment capable of restricting or preventing the production of formation fluids.

[0038] Although Fig. 1 depicts the subsurface safety vaive 1 14 positioned in the substantially horizontal section 106, a subsurface safety valve 1 14 can be located, additionally or alternatively, in the substantially vertical section 104. In some aspects, subsurface safety valves can be disposed in we!!bores having both a substantialiy verttcai section and a substantiaiiy horizontai section, A subsurface safety vaives 114 can be disposed in open ho!e environments, such as is depicted in Fig. 1 , or in cased wei!s.

[0039] Figs. 2-4 depict cross-sectional side views of a stacked piston subsurface safety valve 114 with pistons 204a, 204b that have different diameters relative to each other.

[0040] The subsurface safety valve 114 can include a ciosure mechanism 212 and a piston assembly 202 for actuating the c!osure mechanism 212. The piston assembly 202 includes pistons 204a, 204b, rods 206a, 206b, and controi lines 214a, 214b.

[0041] The ciosure mechanism 212 can be any suitable mechanism for preventing or otherwise restricting the flow of fluid toward the surface of the welibore 102. Selecting an open or closed position of the c!osure mechanism 212 can prevent or otherwise restrict the flow of fluids from the subterranean formation 110 toward the surface of the weli system 100. A non-limiting example of a ciosure mechanism 212 is a flapper va!ve, as depicted in Figs. 2-4. A flapper valve can include a spring-loaded piate that is pivotally mounted to rotate between an open and a closed position. Other non-limiting examples of ciosure mechanisms include (but are not limited to) a bail valve or a poppet va!ve. A bal! valve can include a spherica! disc having a port through the middle such that fluids can fiow through the ball valve when the port is aligned with both ends of the ball valve. The ball valve can be closed to b!ock the flow of fluids by orienting sphericai disc such that the port is perpendicular to the ends of the ball valve. A poppet valve can include a hole and a tapered plug portion, such as a disk shape on the end of a shaft. The shaft guides the plug portion by sliding through a valve guide. A pressure differential can seal the poppet valve.

[0042] The closure mechanism 212 can be actuated by applying force to a flow tube 210 using the piston assembly 202. The piston 204a can be positioned adjacent to the rod 206a. The piston 204a and the rod 206a can be disposed in a chamber 208a. The piston 204b can be positioned adjacent to the rod 206b. The piston 204b and the rod 206b can be disposed in a chamber 208b. A diameter of the piston 204b can be smailer than a diameter of the piston 204a. The diameter of the chamber 208b can be smaller than the diameter of the chamber 208a.

[0043] The piston assembly 202 can be shifted in an uphole direction or a downho!e direction to actuate the closure mechanism 212. The pistons 204a, 204b and the rods 206a, 208b can be displaced in a downhoie direction to open the subsurface safety valve 1 14. The down hole direction can be a direction from the surface of the well system 100 toward the opposite end of the well system 100 and/or the formation 1 10. As depicted in Figures 2-4, a downhoie direction can correspond to a direction toward the right-hand side of the subsurface safety valve 1 14. The pistons 204a, 204b and the rods 206a, 206b can be displaced in an uphole direction to close the subsurface safety valve 1 14. The uphole direction can be a direction from the formation 1 10 toward the opposite end of the well system 100 and/or the surface of the well system 100. As depicted in Figures 2-4, an uphole direction can correspond to a direction toward the left-hand side of the subsurface safety valve 114.

[0044] The pistons 204a, 204b and the rods 206a, 206b can be simultaneously displaced during actuation of the subsurface safety valve 114. The diameter of the piston 204b being smaller than the diameter of the piston 204a can reduce the amount of force for displacing the piston assembly 202 in an uphole direction.

[0045] A control line 214a can communicate pressure to the piston 204a to the chamber 208a in a dovvnhoie direction via an inlet 215a. A non-iimiting example of a source of the pressure communicated by the control line 214a is a hydraulic control system. The control system can be located at any suitable position in the well system 100 such as (but not limited to) a rig at the surface of the vveiibore 102. The pressure communicated via the control line 214a can appiy a force to the piston assembly 202 in a downhole direction. The force applied to the piston assembly 202 can shift the piston assembly 202 in a downhole direction, as depicted by the rightward arrow in Fig. 3. The displacement of the piston assembly 202 can cause the piston 204b to apply force to the flow tube 210. The force applied to the flow tube 210 can cause the flow tube 210 to apply force to the closure mechanism 212, thereby opening the subsurface safety valve 114.

[0046] The closure mechanism 212 can be set to a closed position by ceasing to communicate pressure via control line 214a. As depicted in Figs. 3-4, the flow tube 210 can include a spring-loaded retention mechanism 302 for retracting the flow tube 210 in the absence of pressure being communicated from the control line 214a. The spring-loaded retention mechanism 302 can be configured to exert a force in an uphole direction. The force exerted in the uphole direction can oppose a force applied by the piston assembly 202 in a downhole direction. A non-!imiting example of a spring-loaded retention mechanism 302 can include an expansion spring coup!ed to the flow tube 210.

[0047] To close the subsurface safety valve 114, the force exerted by the spring-loaded retention mechanism 302 in the upho!e direction can overcome a force exerted by the piston 204b. The force exerted by the spring-loaded retention mechanism 302 can cause the flow tube 210 to shift in an uphole direction by overcoming the force exerted by the piston 204b, as depicted by the leftward arrow in Fig. 4. The flow tube 210 shifting in an uphole direction can cause a cessation of force being applied to the closure mechanism 212, thereby allowing the subsurface safety valve 114 to close.

[0048] A control line 214b can be used to decrease the amount of force used by the spring-loaded retention mechanism to shift the flow tube 210 in an uphole direction. The contro! line 214b can communicate pressure from any suitable pressure source to the piston 204a in an upho!e direction via the inlet 215b to the chamber 208a. !n some aspects, the controi line 214b can communicate pressure from an annulus between the subsurface safety valve 114 and the tubing string 112. In other aspects, the control line 214b can communicate pressure from another pressure source in the well system 100, such as the ocean floor, in other aspects, the control line 214b can communicate pressure from a hydraulic control system in the well system 100 different from the hydraulic control system that provides a pressure source for the control line 214a.

[0049] The absence of pressure communicated from the control line 214a in a downhole direction and the communication of pressure by the control Sine 214b can cause equal or substantially equal pressure to be communicated to the piston 204a in an uphole direction and a downhole direction. The balancing of pressure across the piston 204a can minimize or eliminate a pressure differential across the piston 204a. Minimizing or eliminating the pressure differentia! across the piston 204a can reduce the amount of force required by the spring-loaded retention mechanism 302 shift the flow tube 210 in an uphole direction. For example, the force required to shift the flow tube 210 in an uphole direction may be equal to an amount of force required to move the piston 204b and to overcome the pressure differential across the piston 204a. The smaller diameter of the piston 204b with respect to the piston 204a can reduce the amount of force required moving the piston 204b in an uphole direction.

[0050] Although Figs. 2-4 depict a chamber 208b that is formed with a smaller diameter than the chamber 208a, other implementation are possible. For example, Figs. 5-7 depict a sleeve 404 that can be positioned within a chamber 402 to accommodate the smaller diameter of the piston 204b. The sleeve 404 can be formed from any suitable rigid material, such as meta!. As described above with respect to Figs. 2-4, pressure can be communicated via the contro! Sine 214a to shit the pistons 204a, 204b and rods 206a, 206b in a do vnho!e direction. The downhole movement of the pistons 204a, 204b and rods 206a, 206b is depicted by the rightward arrow in Fig. 6. Pressure can subsequently cease being communicated via the control line 214a. As described above with respect to Figs. 2-4, a spring-loaded retention mechanism can shift the pistons 204a, 204b and rods 206a, 206b in an uphole direction. The uphoie movement of the pistons 204a, 204b and rods 206a, 206b is depicted by the leftward arrow in Fig. 7.

[0051] Although Figs. 2-7 depict the pistons 204a, 204b and the rods 206a, 206b being displaced as a unit without being coupled to one another, other implementations are possible.

[0052] in additional or alternative aspects, one or more of the pistons 204a, 204b and the rods 206a, 206b can be coupled to one another, as depicted in the piston assembly 202' of Figs. 8-10. Fig. 8 depicts a piston assembly 202' that includes the pistons 204a, 204b, the rods 206a, 206b, the control lines 214a, 214b, and a connector 502. The piston 204a can be attached to the rod 206a by any suitable mechanism, such as welding. The piston 204b can be coupled to the rod 206a via the connector 502. The piston 204b can be attached to the rod 206b by any suitable mechanism, such as welding.

[0053] As described above with respect to Figs. 2-4, pressure can be communicated via the control line 214a to shift the pistons 204a, 204b and rods 206a, 206b in a downhole direction. The downhole movement of the pistons 204a, 204b and rods 206a, 206b is depicted by the rightward arrow in Fig. 9. Pressure can subsequently cease being communicated via the contro! Sine 214a. As described above with respect to Figs. 2-4, a spring- !oaded retention mechanism can shift the pistons 204a, 204b and rods 206a, 206b in an uphole direction. The uphole movement of the pistons 204a, 204b and rods 206a, 206b is depicted by the leftward arrow in Fig. 10.

[0054] in additional or alternative aspects, one or more of the pistons 204a, 204b and the rods 206a, 206b can be integral with one another, as depicted in the piston assembly 202" of Figs. 11-13. Fig. 11 depicts a piston assembly 202" that includes the pistons 204a', 204b', the rods 206a', 206b ¹ , and the control lines 214a, 214b. The pistons 204a' , 204b' and the rods 206a', 206b' can be formed such that each of the pistons 204a', 204b ^: and the rods 206a', 206b' are integral with one another. As described above with respect to Figs. 2-4, pressure can be communicated via the control line 214a to shift the pistons 204a ^' , 204b ¹ and rods 206a ¹ , 206b' in a downhole direction. The downhole movement of the pistons 204a', 204b ^' and rods 206a', 206b ^' is depicted by the rightward arrow in Fig. 12. Pressure can subsequently cease being communicated via the controi line 214a. As described above with respect to Figs. 2-4, a spring- ioaded retention mechanism can shift the pistons 204a ^' , 204b' and rods 206a', 206b' in an uphole direction. The uphole movement of the pistons 204a ¹ , 204b' and rods 206a ^' . 206b' is depicted by the leftward arrow in Fig. 13.

[0055] Non-limiting examples of operating pressures for a subsurface safety valve 114 having different piston sizes are provided in the table depicted in Fig. 14. in one non-limiting example, the subsurface safety valve 114 can be deployed at a depth of 9 _: 300 feet and can have a flow tube 210 using a standard spring. In another non-limiting example, the subsurface safety valve 114 can be deployed at a depth of 9,300 feet and can have a flow tube 210 using a light spring. A light spring can be configured to exert a smaller force than a standard spring. In another non- limiting example, the subsurface safety valve 114 can be deployed at a depth of 16,200 feet and can have a flow tube 210 using a standard spring.

[0056] A non-limiting example of a conventional safety valve can include a safety valve with a single piston having a diameter of 0.5815 inches. The conventional safety valve can be deployed at a depth of 9,300 feet. At a depth of 9,300 feet, the conventional safety valve may have an opening pressure of 13,800 psi to set a closure mechanism of the safety valve to an open position. A hydraulic control system can provide a control line pressure of up to 15,000 psi for opening the conventional safety valve. The conventional safety valve can have a closing pressure of 200 psi.

[0057] As depicted in Fig. 14, an example subsurface safety valve 114 deployed at a depth of 9,300 feet and having a flow tube 210 using a standard spring can reduce the control line pressure as compared to the conventional safety valve. The piston 204a of the example subsurface safety va!ve 114 can have a diameter of 0.5815 inches. The piston 204b of the example subsurface safety valve 114 can have a diameter of 0.4385 inches. The opening pressure can be reduced to 11 ,208 psi. The reduction in the opening pressure can a!low for the use of a control line 214a configured to provide a control line pressure of 12,500 psi.

[0058] As depicted in Fig. 14, an example subsurface safety va!ve 114 deployed at a depth of 9,300 feet and having a flow tube 210 using a light spring can further reduce the control line pressure as compared to the conventional safety valve. The piston 204a of the example subsurface safety va!ve 114 can have a diameter of 0.5815 inches. The piston 204b of the example subsurface safety valve 114 can have a diameter of 0.4385 inches. The opening pressure can be reduced to 7,846 psi due to the reduced uphole force exerted by the Sight spring as compared to a standard spring. The reduction in the opening pressure can allow for the use of a control line 214a configured to provide a control Sine pressure of 9,000 psi.

[0059] As depicted in Fig. 14, an example subsurface safety valve 114 having a flow tube 210 using a standard spring can be deployed at a greater depth than a conventional safety valve and can reduce the control line pressure as compared to the conventional safety valve. The piston 204a of the example subsurface safety valve 114 can have a diameter of 0.5815 inches. The piston 204b of the example subsurface safety valve 114 can have a diameter of 0.4385 inches. A reduction in the opening pressure due to the use of multiple pistons having different diameters can al!ow the examp!e subsurface safety valve 114 to be deployed to a depth of 16,200 feet. The reduction in the opening pressure can allow for the use of a control line 214a configured to provide a control line pressure of 11 ,000 psi.

[0060] Although the piston assembly 202 is described above as an actuation mechanism for a subsurface safety valve, other implementations are possible. In additional or alternative aspects, a piston assembly 202 can be disposed in any device or system to actuate a device or a component of a device by applying pressure via the pistons 204a, 204b.

[0061] Although a stacked piston assembly has been described above as having two pistons, other implementations are possible. In some aspects, a stacked piston assembly can include two pistons of a first size and a third piston of a smaller size, as depicted in Figs. 15-17. Fig. 15 depicts a piston assembly 602 that includes the pistons 604a-c, the rods 606a-c, and the contra! lines 214a-c respectively communicating pressure via inlets 215a-c. The piston 604a can be positioned adjacent to the rod 606a. The piston 604a and the rod 606a can be disposed in a chamber 608a. The piston 604b can be positioned adjacent to the rod 606b. The piston 604b and the rod 606b can be disposed in a chamber 608a. A diameter of the piston 604b can be the same as a diameter of the piston 604a. The contra! line 214c can communicate pressure from any suitable pressure source to the piston 604b in an upho!e direction via the in!et 215c to the chamber 208a. The piston 604c and the rod 606c can be disposed in a chamber 608b adjacent to the chamber 608a. A diameter of the piston 604c can be sma!ier than a diameter of the pistons 604a, 604b. The diameter of the chamber 608b can be smaller than the diameter of the chamber 608a.

[0062] As described above with respect to Figs. 2-4, pressure can be communicated via the control Sine 214a to shift the pistons 604a-c and rods 606a-c in a down hole direction. The downhole movement of the pistons 604 a-c and rods 606a-c is depicted by the rightward arrow in Fig. 16. Pressure can subsequently cease being communicated via the control line 214a. As described above with respect to Figs. 2-4, a spring-loaded retention mechanism can shift the pistons 604-c and rods 606a-c in an upho!e direction. The uphole movement of the pistons 604-c and rods 606a-c is depicted by the leftward arrow in Fig. 17.

[0063] in other aspects, a stacked piston assembly can include three pistons of different sizes, as depicted in Figs. 18-20. Fig. 18 depicts a piston assembly 702 that includes the pistons 704a-c, the rods 706a-c, and the contro! iines 214a-c respectively communicating pressure via inlets 215a-c. The piston 704a can be positioned adjacent to the rod 706a. The piston 704a and the rod 706a can be disposed in a chamber 708a. The control !ine 214b can communicate pressure from any suitable pressure source to the piston 704a in an uphole direction via the inlet 215b to the chamber 708a. The piston 704b can be positioned adjacent to the rod 706b. The piston 704b and the rod 706b can be disposed in a chamber 708b. A diameter of the piston 704b can smaller than a diameter of the piston 704a. The diameter of the chamber 708b can be smaller than the diameter of the chamber 708a. The control line 214c can communicate pressure from any suitable pressure source to the piston 704b in an uphole direction via the inlet 215c to the chamber 708b. The piston 704c and the rod 706c can be disposed in a chamber 708c adjacent to the chamber 708a. A diameter of the piston 704c can be smal!er than a diameter of the pistons 704a, 704b. The diameter of the chamber 708c can be smaller than the diameter of the chamber 708b.

[0064] As described above with respect to Figs. 2-4, pressure can be communicated via the control Sine 214a to shift the pistons 704a-c and rods 706a-c in a downhole direction. The down hole movement of the pistons 704a-c and rods 706a-c is depicted by the rightward arrow in Fig. 19. Pressure can subsequently cease being communicated via the contra! line 214a. As described above with respect to Figs. 2-4, a spring-loaded retention mechanism can shift the pistons 704-c and rods 706a-c in an uphole direction. The uphoie movement of the pistons 704-c and rods 706a-c is depicted by the leftward arrow in Fig. 20.

[0065] The foregoing description of the invention, including illustrated examples and aspects, has been presented only for the purpose of illustration and description and is not intended to be exhaustive or to limit the invention to the precise forms disclosed. Numerous modifications, adaptations, and uses thereof will be apparent to those skilled in the art without departing from the scope of this invention.