A Brief Introduction To Wellhead Pressure Control System

29 Apr.,2024

 

A Brief Introduction To Wellhead Pressure Control System

In the process of oil and gas exploration and development, how to balance the formation pressure drilling through the liquid column pressure in the well, and how to find, control, and deal with it in time when this balance is destroyed, and rebuild the pressure balance as soon as possible (referred to as balanced drilling and well control technology), not only related to the discovery, protection, and development of underground oil and gas resources but also directly related to the improvement of drilling speed, the prevention of blowout accidents, and the elimination of oil and gas pollution. It is a key technology with significant economic and social benefits.

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What is Wellhead Pressure?

Wellhead pressure – pressure at the top of the well, i.e., at its wellhead. It is measured by pressure gauges of the wellhead fittings. There are static and dynamic wellhead pressures.

In the abandoned well, static wellhead pressure is measured and is influenced by reservoir pressure, well depth, and filling medium density. It is equivalent to the difference between reservoir pressure and the hydrostatic pressure of the liquid column from the wellhead to the reservoir in terms of numbers.

The functioning well is used to monitor dynamic wellhead pressure, which is dependent on the same factors as static wellhead pressure Plus well rate or injection agent flow rate, pressure in the pipeline nearby the well, and pressure difference in shut-off components of the wellhead fittings. When a hydraulic fracture occurs in a gas well, the excess wellhead pressure (as compared to air pressure) can reach 100 MPa or higher.

Components of Wellhead Pressure Control System

A wellhead pressure test is equipment installed at the surface of a complete oil or gas well that provides a structural and pressure-containing interface for the drilling and production equipment. In other words, this object is installed where casings are terminated by hanging the casings using casing hangers and seals. It consists of the following components:

  • Casing head
  • Casing spools
  • Casing hangers
  • Packoff seals, also called isolation seals
  • Test plugs
  • Mudline suspension system
  • Tubing head
  • Tubing hangers
  • Tubing head adapter

This equipment is used for various purposes such as:

  • Hanging or suspending casing by means of casing hangers and seals.
  • It provides a pressure seal as well as strength to hold the hanging weight of casings.
  • Provides a means of tubing suspension.
  • BOP is attached to the wellhead during drilling operations.
  • X-mas tree also called a Christmas tree is attached to the wellhead during the production of hydrocarbon streams.
  • All the well access for any workover operations is through the wellhead.

The nominal diameter of wellheads is typically 2, 3, 5, 10, and 15 inches, with operating pressure ratings ranging from 2000 to 15000 psi.

How does Wellhead Pressure Control System Work?

Under the action of an electric booster pump or a manual booster pump, the hydraulic oil is boosted, and the size and start and stop of the booster pump are controlled by a pressure switch. The pilot pressure controls the action of the hydraulic control valve, and the system hydraulic control valve controls the conduction or closure of the high-pressure hydraulic oil, thereby controlling the pipeline system, that is, opening the surface and underground safety valves.The pressure of the high-pressure relief valve and the low-pressure relief valve control system is guaranteed to work within a certain range. After the explosion-proof solenoid valve or panel switch valve receives the closing signal, the pilot pressure of the high-pressure hydraulic three-way valve and the low-pressure hydraulic three-way valve is released, and then the valve is released. The pressure valve is automatically reset, instantly reducing the system pressure to 0, that is, closing the ground and underground safety valves. The main working principle is as follows:

Wellhead Pressure Formula

The following formula is used to calculate the Wellhead Pressure. 

Pwh = Pbh / e^((Sg/R*H)/Tav)

Variables:

  • Pwh is the Wellhead Pressure (psia)
  • Pbh is the bottom hole pressure (psia) 
  • H is the true vertical well depth (ft) 
  • Sg is the specific gravity of the gas 
  • R is the universal gas constant (53.63 ft-lb/lb-r)
  • Tav is the average temperature (Rankin)

How to Calculate Wellhead Pressure?

The following steps outline how to calculate the Wellhead Pressure.

  1. First, determine the bottom hole pressure (psia).
  2. Next, determine the true vertical well depth (ft). 
  3. Next, determine the specific gravity of gas. 
  4. Next, gather the formula from above = Pwh = Pbh / e^((Sg/R*H)/Tav).
  5. Finally, calculate the Wellhead Pressure.
  6. After inserting the variables and calculating the result, check your answer with the calculator.

Related Articles

An Overview of Wellhead Burning: Fundamental Science to ...

While wellhead burning has been an oil field hazard for generations, the development of capping response technologies and practices by industry experts has enabled the oil exploration community to shift its views of wellhead burning from a hazard to an oil spill response tool. This review covers some of the fundamental scientific aspects and technical issues of wellhead burning that engineers and policy makers will need to consider as this mitigation strategy is examined as a standard oil spill response tactic. For context, we examine a potential wellhead blowout scenario over a range of oil flows and examine the regimes of two-phase pipe flows, their dependence on wellbore velocities and gas-liquid ratios, and how those regimes will influence the burn efficiency with some insight from our experimental observations from two-phase spray burn testing. Among the critical findings that we present is that the worst-case discharge flow rate cannot be assumed to be the worst-case wellhead burning scenario.

One of the deadliest and most publicized surface wellhead blowouts occurred in 1982 at the Lodgepole sour gas well, located 130 km from Edmonton, Alberta, Canada ( Zdeb 1982 ). This well created a plume of hydrogen sulfide (H2S) that later ignited. After 68 days, 2 deaths, 16 injured, and millions of dollars of destruction, Boots and Coots extinguished the fire and capped the well. One of the eventual results were provincial regulations dictating the use of intentional wellhead ignition to manage the poisonous, flammable gas from sour wells, as specified by the ERCB Directive 14.3.6 (2017).

Wellhead fires have been an industry concern for many years for their danger, expense, and, at times, their necessity. They produce very large and visible burning plumes that require significant skill and expertise to extinguish. Though these fires are not trivial to extinguish, there are a number of companies that have developed the expertise to do so reliably and safely ( Amer 2017 , Garner 2017 ). With the maturation of these fire suppression techniques, wellhead fires can be viewed as a tool to manage and contain the environmental impact of wellhead spills if there are favorable flow rates and properties of the gas and liquid. If favorable, wellhead burning can dispose more rapidly and inexpensively of wellhead effluent than should it fall on the ground or waterways; in such cases, more expensive dispersive and mechanical recovery tactics are the only remediation options.

In the same study, surface blowout crude oil and water effluents, their fallout behavior, and combustion efficiency were modeled for a range of gas-oil volume ratios (m 3 /m 3 ), oil flow rates (m 3 /day), and pipe diameters (Ross 1986). Though the authors never explicitly defined burn efficiency, they implied that the burn efficiency is the fraction of liquid crude oil or condensate that burns, evaporates, or drifts away in the wind (instead of falling back onto the ground) of the total ejected liquid. They recommended that predicted burn efficiency, cost, insurance implications, and other factors be considered when deciding to ignite a wellhead. They suggest that if the predicted burn efficiency is less than 75%, intentional ignition should not be considered. Though this effort represents a significant addition to the body of literature, the investigators did not compare their predictions against data because none were available at that time.

One of the earliest analytical studies of wellhead blowout ignition and burning was performed by S.L. Ross Environmental Research and Energetex Engineering to provide decision making protocols for the Canada Oil and Gas Lands Administration in an effort to minimize environmental damage and human hazard (Ross 1986). Their 1986 report provides a broad primer, covering many of the fundamental details of wellhead blowout phenomena and the related engineering and environmental considerations of both subsea and surface blowouts. Without ignition and combustion, the well gas and evaporating condensate will drift with wind and mix with atmospheric oxygen to create a potentially hazardous explosive and/or poisonous zone. Thus, wellhead ignition provides a method to manage flammable and sour gas effluents while creating a dangerous fire.

A careful examination of the Kuwaiti oil well fires and the wide range of reservoir and wellhead conditions suggest an infinitude of wellhead and reservoir conditions that can result in a blowout that does not have favorable burn behavior ( EPA 1992 , HSE 1992a , HSE 1992b ). The wellhead pressure, gas-oil ratio (GOR), water content, surface damage and obstructions, and reservoir behavior all influenced how each wellhead burned. As a result, some wellheads burned the crude oil and condensates completely, while others deposited mounds of coke and pools of crude onto the Kuwaiti desert floor. For the Kuwaiti oil fires, those scenarios included wells with low GORs, high water fractions, and relatively low reservoir pressures, which are characteristic of reservoirs that have been significantly drained over time before there is a wellhead failure, such as the Timbalier failure ( Flak et al. 1995 ) in the Gulf of Mexico. Other possible issues are obstructions that slow the flow of both gas and oil and narrow wellhead exits that create burn stability problems ( McCaffrey and Evans 1988 ).

An industry consortium was also assembled to investigate the large-scale hydrocarbon fire behavior and impact, effective response practices, extract understanding, and then document their findings to expand capabilities in response to such fires ( HSE 1992a , HSE 1992b ). From the report and photographs, it was clear that each wellhead fire was unique. Some formed a high, flaming plume with, or without, black, sooty smoke drifting from their tip. Other burning wellheads formed plumes that were encased in sooty smoke, a mist of falling residual oil, and produced slicks of unburned oil falling downwind. There were also wellheads that were surrounded by mounds of unburned coke fallout. Other wellheads expelled mixtures of oil and water that created white steam as the oil burned.

Wellhead blowout fires garnered significant public exposure after Iraqi military sabotaged over 700 Kuwaiti wellheads before fleeing U.S. Coalition forces and retreating back to Iraq during February 1991, near the end of the Gulf War, to create an unprecedented environmental disaster ( EPA 1992 , HSE 1992a , HSE 1992b ). The burning wells not only blackened the air with soot, but also the desert with fallout of unburned crude oil. A number of reports were prepared by government agencies, contractors, and private entities to document the environmental and industrial damage.

There is a final, but more important, problem with the approach adopted by Siddhamshetty et al. (2019) that engineers, policy makers, and policy enforcers should note: there is an assumption that the WCD will produce the worst-case spill scenario. Our discussion below shows that these two scenarios should be considered distinct. The referenced correlations show that for a constant GOR, if the total flow rate decreases, then entrainment fraction will also decrease, the annular liquid film thickness will increase, and the peripheral droplet diameters will increase to much larger diameters than those at the core of the flow. The residence time of the larger droplets within the plume cannot be assumed to be long enough to evaporate and burn, whether they remain entrained in the plume or not ( Berna et al. 2014 , Fisher et al. 2018 , Fisher et al. 2019 , Kataoka et al. 2000 ). This work will explore wellhead blowout conditions and the associated spray physics and chemistry that inhibit the complete combustion of the liquid effluents.

Step 3 assumes the primary mechanism that drives poor burn efficiency is that the droplet lifetime ( Shearer et al. 1979 ) is greater than the residence time within the burning plume. Though this is a potential a mechanism, it is not the only plausible mechanism. If we consider that much of the spray produced by flows with less than complete entrainment will be from the annular film and that the spray density of both the core and the periphery of the plume can be very high, two additional mechanisms are possible. One is that the larger droplets from the annular film are too large to evaporate or for the plume momentum to entrain them, so they fall to the ground. A related evaporation failure mechanism is that the droplet loading or number density is too great for all individual droplets to experience the same heat transfer and evaporation rate. This third failure mechanism is frequently neglected because traditional droplet evaporation or combustion analysis considers only a single droplet instead of a droplet ensemble or cloud that has as droplet density great enough to cool the gases surrounding the droplets. For now, each mechanism awaits thorough experimental validation.

Referring to Step 2, we should note that the Liberty well conditions that Siddhamshetty et al. (2019) referenced were at significantly greater Re G and Re L than the validated range of the entrainment and droplet correlations ( Berna et al. 2014 , Berna et al. 2015a , Berna et al. 2015b , Kataoka et al. 1983 , Kataoka et al. 2000 ). This does not invalidate their conclusions because a careful reading of these background papers reveal that as the gas flow rates increase, the general trend is for the entrainment to approach 100% and droplet diameters to decrease. However, the reader should note that conditions outside of the validated range of a correlation do not allow it to be used for reliable prediction of droplet diameters. We should also consider that the cited correlations only consider the entrained droplets and not those formed as the un-entrained annular liquid film is expelled and atomized, which can form a significant fraction of the oil volume.

Referring to Step 1, Siddhamshetty et al. (2019) did not elaborate on the ramifications of how the wider range of two-phase flow regimes (bubble, slug, and churn) would impact the effluent plume. In fact, their focus was on the wellbore flow, a topic on which they are experts, but they did not fully discuss how the wellbore flow would influence the ejected plume behavior, which directly influences the how much of the oil and gas burns and how much will either fall back to the surface or remain vapor. There was also a gap in the discussion over the annular flow entrainment fraction: the fraction of the liquid volume that has been entrained as droplets in the gas flow within the wellbore. A reader might incorrectly assume that annular flow in the wellbore would produce the same spray plume as that of a fully entrained mist, regardless of the entrainment fraction ( Berna et al. 2014 , Kataoka et al. 2000 ).

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Sidhamshetty et al. then applied their approach to a worst-case discharge (WCD) case posited by Hilcorp for a potential well to predict an efficiency of 100% ( Fitzgerald and Garner 2014 , Hilcorp 2015 , Hilcorp 2017 ). A careful examination of the process outlined above and of (Ross 1986, Siddhamshetty et al. 2019 ) will reinforce that they approached their calculations conservatively, but there are some caveats that the critical reader should consider.

In November 2017, the Ocean Energy Safety Institute (OESI) hosted a peer review workshop entitled “Well Ignition as a Blowout Response” that provided a venue for industry, academic, and government to present their work on this topic. Siddhamshetty et al. (2019) then developed much of the presented work into an article. They expanded the methods first suggested by the S.L. Ross and Energetex (Ross 1986), used updated correlations, and accounted reservoir gas properties more carefully. The process they outlined to calculate the wellhead burn efficiency was as follows:

The thermophysical properties of the oil and gas depends upon the temperature and the reservoir, which can vary widely. Most oil assays report properties at 298 K, while the estimated Liberty wellhead temperature is 366 K. Since our objective is to not represent a single case but the broader solution space, we will make some assumptions and estimations. We will assume that the viscosity is roughly that of Endicott's reservoir conditions of 1.09 cP ( AOGCC 2018 ), and that the surface tension is equal to n-decane at the same temperature, 0.019 N/m ( Lemmon et al. 2019 ). For gas properties, we will assume those of methane, since the bulk of the gas from reservoirs with both oil and gas is methane ( Lemmon et al. 2019 ). These will provide order-of-magnitude ranges from which we can calculate predictions and draw conclusions.

The maximum, or WCD, Liberty flow conditions provide the quantitative ceiling to our study and provide insight into the orders of magnitude of the flows we need to consider. Such potentially high oil and gas flow rates are typical for some new wells, though the maximum gas or oil flow rate will vary significantly between wells and reservoirs. Once a reservoir starts producing gas and oil, the reservoir pressure decreases and the maximum potential flow rates also decrease, even with gas injection. Therefore, our solution space needs to consider that either the gas or the oil flow rate may be any value between zero to values similar to those in Table 1 , depending on the well depth, reservoir, and other engineering details.

There are a number of relevant physical and chemical behaviors that should be covered, but due to the constraints of space, we will restrict our discussion to a limited number of topics. Additional topics will be included in a full-length journal review.

One of the most important questions we need to consider for a wellhead blow out is how the two-phase wellbore flow will influence the wellhead ejection behavior and the resulting two-phase flow structure of the spray plume. The liquid and gas dynamics of the pipe, wellhead, and plume flows are a result of the change in phase between the reservoir and the wellhead, the resulting high-speed pipe and flows, and the expansion of the plume.

It is instructive to go back to the model of the fluid rising up from a reservoir to understand these patterns. In the reservoir, the gas is frequently at supercritical pressures and temperatures so that the gas and crude oil are in solution. As they flow up through the riser or wellbore, the decreasing pressure allows the gases to evaporate and separate. Initially, small bubbles will form in the flow (bubbly flow). As the bubbles increase in size, they agglomerate such that the flow forms axially distinct regions of gas and liquid in the flow (slug flow). As the gas fraction increases, the distinct sections begin to mix and collapse upon one another to form churn flow. Finally, as the gas fraction increases further, the gas volumetric flow rate is large enough to form a contiguous flow at the center of the flow. The remaining liquid initially forms an annulus at the wellbore wall that is sheared by the gas flow to form droplets that deposit and are sheared again in steady, dynamic equilibrium (annular flow). With sufficient gas flow rate and/or volume fraction increase, the film is thin enough to be negligible (mist or dispersed regime). Since the distance between the reservoir and the wellhead is so long, it is reasonable to assume that the flow behavior is in equilibrium and fully developed at any one point, including at the wellhead, upstream of the exit plane.

The difficulty in predicting these transitions is discussed in the textbook by Hasan and Kabir (2018b). They noted that each regime shift is accompanied by a shift in the fluid mechanic behavior and highlighted the considerable influence wellbore pressure has on the separation of the gas and liquid.

We can assume that for an annular flow, the ejected flow will form some sort of spray structure, but it is unclear what kind of flow structures form when bubbly, slug, or churn flows are ejected through a wellhead. It is reasonable to assume that these lower velocity flows are more likely to form pools or fountains; neither of which burn efficiently. Therefore, for the sake of brevity and simplicity, we will focus on the annular and mist flow regimes.

The characteristics of the annular flow that will influence the plume are the film thickness, liquid entrainment fraction, and the droplet formation. The annular film thickness will directly influence the droplet diameter distribution of the annular spray region, as shown by Fisher et al. (2018, 2019), while the liquid entrainment fraction will directly influence how much liquid ends up in that annular spray region or as fine droplets in the central core of the flow. Finally, the wellbore-entrained droplets will form the spray at the center of the plume.

The interaction between the liquid annular film and the gas flowing through the center, as discussed in the reviews by Berna et al. (2014, 2015b), drives the formation of instability surface waves on the liquid film, the formation and stretching of ligaments, which then break apart to form droplets. The higher velocity gas convects the droplets axially, while the three-dimensional, unsteady turbulence convects them transversely until they eventually collide back against the wellbore wall.

The liquid film thickness, δ, denotes the average thickness with the presence of surface waves and other perturbations. This metric has been overlooked wellhead blowout discussions, even though the film can drive the formation of much larger droplets upon ejection than the entrained droplets at the center of the flow (Fisher et al. 2018, Fisher et al. 2019). A review of droplet entrainment behaviors by Berna et al. (2014) describes the two-phase flow regimes for horizontal and vertical pipes, liquid wave behavior and characteristic metrics, and the significant research in correlating these metrics to dimensionless flow numbers. Berna et al. (2014) developed a correlation with an R2 fit of 90%, which if we use the range of Liberty conditions in Table 1 and calculate δ for a range of ReL, we create the top plot shown in Figure 1.

Figure 1

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Plotted δ, E∞, and Dvm for a range of ReL, with the first thirty days of Liberty WCD highlighted green. The validated range of the Kataoka et al. correlation shown highlighted orange and the validated range of Berna et al. is highlighted blue.

Figure 1

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Plotted δ, E∞, and Dvm for a range of ReL, with the first thirty days of Liberty WCD highlighted green. The validated range of the Kataoka et al. correlation shown highlighted orange and the validated range of Berna et al. is highlighted blue.

Close modal

For each curve, the gas flow rate ranges between 0.001 to 2.740 m3/s and the corresponding oil flow rate for a fixed GOR, velocities, thermophysical properties, and dimensionless numbers were calculated and then plugged into the Berna et al. (2014) correlation for δ/D. The Liberty WCD range, though the GOR changes over time, corresponds to 3.02×105 ≤ ReL ≤ 8.18×105, which was highlighted green in the top plot and subsequent plots of Figure 1. The line patterns (dashed, continuous, and dash-dot-dash) denote GORs of 2000, 872, and 500 SCF/BBL (356, 155, and 51 ), respectively.

The δ plots of Figure 1, top, suggest a number of significant behaviors and implications that should be noted. First, there is the general, predictable trend that increasing the ReL (for a fixed GOR) or the GOR (for a fixed ReL) decreases the film thickness while decreasing the same increases the film thickness. Most importantly, the plots of film thickness show that for much of the range of ReL, the film thickness is non-negligible, especially if correspondingly-scaled droplets form from that film upon ejection.

The entrainment plot in Figure 1, middle, compares correlated predictions for the Kataoka and Berna correlations for a range of ReL and three different values of GOR. The most significant aspect of the plot is that the 30-day period of the example Liberty WCD is 100% entrained. Increasing the GOR correspondingly increases the entrainment, while decreasing the GOR also decreases entrainment, as we might expect.

The entrained, volume mean droplet diameter correlations referenced in Siddhamshetty et al. (2019) were those developed by Kataoka et al. (1983) and a later correlation developed Berna et al. (2015b) that accounts for higher pressures. The Dvm plots in Figure 1, bottom, reveal a number of behaviors that should be considered in the context of wellhead flows. First, the Liberty worst-case discharge conditions, over the first 90 days of a free-flowing wellhead, are well outside of the validated range for both correlations, though the exact limits of data referenced by the Berna correlation is still being determined. Though we can expect that the trends are qualitatively accurate, we cannot use the droplet diameters predicted outside of the validated range of the correlations to make quantitative burn efficiency predictions. The extrapolated trend for the Liberty WCD conditions suggests that the droplet diameters are in the range between 10 and 100 μm. Though this is a wide range and unsubstantiated from the data cited by Kataoka et al. (1983) and Berna et al. (2015a), the correlations predict that the droplet diameters should generally decrease as WeG, ReL, and ReG increase, since the liquid-gas interface shear, which drives droplet formation, would correspondingly increase to form smaller droplets. Such trends are similar for the film thickness and entrainment fractions.

In comparing the δ, E∞, and Dvm plots, there are a number of behaviors we should consider. First, for decreasing values of ReL without full entrainment, the annular film thickness is large enough that if it were to develop into comparatively-sized droplets, they may not evaporate and burn if they are convected to the outer edges of the gas-air shear layer and fall to the ground.

Second, even the fully entrained droplets are quite large for ReL ≤ 104, suggesting that as the flowrate of a wellhead decreases, the droplet formation behavior will not produce an efficiently burning plume.

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