Embodiments of the invention relate most generally to the field of pressure measurement. More particularly, embodiments and aspects of the invention are directed to fiber optic-based pressure measurement apparatus and methods, and applications including, but not limited to, the direct measurement and/or monitoring of differential pressure, gage pressure, and absolute pressure, as well as the indirect measurement and/or monitoring of fluid flow rate, liquid level, liquid density, fluid flow point velocity (using Pitot tube), filter screen quality monitoring, leak detection, and viscosity measurements.
Diaphragm pressure sensors are the most common type of pressure sensors used for general purpose pressure measurements. The diaphragm pressure sensor can be traced back to Honeywell Regulator's 1954 patent U.S. Pat. No. 2,751,530 “Differential pressure sensing unit.” A diaphragm subject to pressure (or more accurately, to differential pressure resulting from two different pressures applied on both of its two sides) results in radial stress and tangential (hoop) stress. These stresses can be measured by strain gages attached to the diaphragm. Piezoresistive material, which changes electrical resistance when subject to strain, is widely used in more modern pressure sensors. The change in electrical resistance is measured by a Wheatstone bridge, which is usually integrated into the pressure sensing mechanism. The integrated device is called a pressure transducer, which produces a signal in the forms of electric current or voltage, which are proportional to pressure.
In more recent years, fiber optic based diaphragm pressure sensors have become an attractive option due to the high sensitivity of fiber optic-based sensors. Examples of this include diaphragm pressure sensors using the end surface of the optical fiber and a reflective diaphragm to form an interference cavity as disclosed, e.g., in WO2002023148. U.S. Pat. No. 6,304,686 “Methods and apparatus for measuring differential pressure with fiber optic sensor systems” employs fiber Bragg grating's (FBGs) and uses the pressure difference between two sources to impart a stress onto a fiber Bragg grating. This technique, however, does not take advantage of the increased sensitivity provided by measuring the radial and hoop stress of the diaphragm.
The inventors have recognized the need for pressure sensors in general and diaphragm-based pressure sensors in particular that employ fiber optical versus electrical sensing components and the benefits of their advantages which include immunity from electromagnetic interference (EMI), long distance signal transmission (e.g., tens of kilometers), greater sensitivity, bandwidth, and dynamic range, improved robustness, higher accuracy and efficiency, lower cost, and otherwise significantly broader range of applications.
Fiber optic diaphragm pressure sensors are gaining increasingly widespread usage due to the high sensitivity and stability of the sensors themselves, and the immunity fiber optic sensors exhibit to high temperatures, extreme RF and EMI fields, as well as chemical resistance. An optical fiber pressure sensor can be comprised of two fiber optic sensing elements attached to a flexing diaphragm of varying geometry and/or makeup, with the fiber able to sense radial and tangential strains at their installed positions. The contribution of both mechanical stresses caused by pressure and thermal stress caused by temperature are accounted for with the dual-sensor setup, and can solve for pressure and temperature simultaneously. Examples of this include pressure diaphragm monitoring that employs continuous fibers with embedded sensors, or where the optical fiber comprises a reflective diaphragm to form an interference cavity. Multicore fiber (MCF) sensor technology exhibits extremely high sensitivity to the radial and hoop stress of the diaphragm, several examples of which are described.
An embodiment of the invention is a pressure sensor device that includes a pressure chamber housing; at least two separate pressure chambers within the housing; at least one pressure port fluidically coupled to each of the at least two pressure chambers; at least one pressure transmitting element per every two pressure chambers disposed in the pressure chamber, which separates the at least two pressure chambers; and at least two optical sensing elements disposed in at least one of the pressure chambers, wherein the at least two optical sensing elements are each optically coupled to an optical transmission medium. In various embodiments the pressure sensor device may include the following features, limitations, characteristics alone or in various non-limiting combinations as one skilled in the art would understand.
As illustrated in
Under a certain applied pressure, the size (diameter for circular plates or length and width for rectangular plates) and thickness of the diaphragm are the parameters dictating whether the material is within its elastic limit by comparing the resultant stress in the plate to the material yield strength scaled by a preferred safety factor.
The pressure sensor 100 further includes at least two (a primary and a secondary) fiber optic-based sensing units 22a, 22b, which may be, e.g., multicore fiber (MCF)-type or fiber Bragg grating (FBG)-type, as known in the art. The at least two sensing elements will advantageously be of the same operating type (e.g., MCF or FBG). They will advantageously be designed such that their respective operating wavelengths have sufficient margins from each other as appreciated by a person skilled in the art. The sensors may be differently optimized for the sensed quantities (strain, curvature, etc.) desired for where they are installed. The size of the fiber optic sensing elements will determine the size of the housing and the diaphragm. With current fiber optic sensing element technology, the smallest dimension of the housing (either length, width, or diameter) will be about one to a few (3-4) centimeters, as constrained by the bending radius of optical fibers or fiber sensor length (reflective mode sensors). The attachment mechanism can vary according to material, environment, and use-case, including but not limited to micro-machined grooves for fiber placement, high-strength and high-temperature ceramic-based cements, laser-tacking-bonding, as well as more conventional means of fiber sensor handling such as potting and through-hole placement.
In
Light from a light source (not shown), which may be an integrated component of an interrogator but can alternatively be a separate device, is sent into one end of the optical fiber through its connector. This light passes through the sensing element (22a, 22b), or can be reflected from it. The transmitted (or reflected) signal contains measurement information that it carries back to the interrogator. The optical signals from the sensor acquired by the interrogator can then be analyzed and the wavelengths corresponding to the pressure and temperature changes in the sensing elements can be extracted and recorded. These data, collected through a controlled calibration procedure, are fit into statistical regression equation(s) based on a mathematical model representing the physics of the sensor and its sensing elements, which results in the coefficients of the regression equation(s). The regression equations completed by their numerical coefficients are used to calculate pressure and temperature values from any set of wavelengths sent by the sensing elements. An example of the physics-based regression equations is as follows:
If one chamber is at vacuum, the sensor measures absolute pressure. If one chamber is connected to the atmosphere, the sensor measures gage pressure. If both sensor chambers are connected to unknown pressure sources, the sensor measures differential pressure. In all cases, pressure applied against the diaphragm causes mechanical stress, which can be measured through strain measurements. If there are no temperature changes, one strain measurement is sufficient to determine pressure. However, fiber optic sensing elements by nature are sensitive to temperature, which in reality is always varying. Therefore temperature compensation by using a different sensing element or system reference temperature is advantageous.
The two (primary and secondary) fiber optic elements 22a, 22b, attached on the diaphragm 12 are able to sense radial and tangential strains at their installed positions. Each strain represents an equation of two principal mechanical stresses caused by pressure and one thermal stress caused by temperature. Both of the unknown mechanical stresses relate to pressure through single variable equations. The unknown thermal stress also relates to temperature through a single variable equation. Two strain measurements therefore are sufficient for solving for pressure and temperature simultaneously.
Alternatively, temperature compensation can be done by putting one of the two sensing elements (e.g., the secondary sensing element) at an unstrained site (e.g., attached to the inner housing) where only the temperature effect is sensed. This site will advantageously be in close proximity to the primary sensing element so that the temperature effect on both sensing elements is within ±0.1° C. In this setup, temperature is found from the second strain measurement and pressure from the first one. If there are other stimuli to which the sensing elements are sensitive, additional sensing elements may be used in order to compensate for such stimuli.
There are three geometric categories of the pressure transmitting elements: flat (plates), curved (shells), and complex structures constructed by plate and shell segments. At least one sensing element, acting as the primary one, should enable direct sensing of the effect of measured pressure as converted by the pressure transmitting element. To accomplish this the primary sensing element (e.g., 22a) can be set up in one of the three (3) positioning arrangements as follows:
Generally, the fiber optic sensing elements are sensitive to temperature. A secondary sensing element may be advantageous for temperature compensation. It can be positioned at a site near the primary sensing element but where it is not exposed to the effect of measured pressure (a positioning arrangement 4). It can also take one of the three options listed above, which makes a total of four options for the secondary sensing element.
In summary for each selected pressure transmitting element, there are 12 possible combinations for positioning two sensing elements.
For the embodiments presented in
On the other hand, thin-walled pressure vessel theory gives
If temperature is kept constant, any one of these two sensing elements (advantageously, the one for tangential stress (22a) since its value is higher) is sufficient to provide pressure measurements. In the case temperature is changing, thermal stress terms, as functions of temperature, are added into the mechanical stress equations shown above. The results are a system of two equations with two unknowns (pressure and temperature), which allows this sensor configuration to measure both pressure and temperature. A calibration process and data analysis similar to that discussed for embodiment 100 (
It is to be appreciated that the embodied pressure sensor apparatus comprises at least two pressure chambers; at least one pressure port coupled to each of the at least two pressure chambers; and at least one pressure transmitting element (e.g., diaphragm) per every two pressure chambers. The pressure transmitting element(s) may be in the form of flat plates (diaphragms), curved shells, or combinations thereof. Flat plate type pressure transmitting elements may be circular, rectangular, of any other shape, or combinations of these shapes, dependent on the specific application. The shapes of the curved shell forms may be cylindrical, spherical, of any other shape, or combinations of these shapes.
ΔλB=λB[(α+ζ)ΔT+(1−pε)Δε]
When light passes through an MCF sensor, it couples back and forth between the cores as it propagates along the length of the sensor. Complete energy exchange from the illuminated to the unilluminated core and back takes place in a beat length 4. The variation in intensity in each core along the length L is a periodic function of the beat phase λb=πL/λb. A change in temperature, pressure, or strain causes a change in λb and an expansion or contraction of the fiber; the net effect is a change in the beat phase. The sensitivity to a perturbation ξ is determined by
Software models can help visualize and calculate these effects by using a scalar coupled-mode formulation to evaluate the effects of various perturbations on the distribution of light within the cores. This is also referred to as supermode interference effects as light propagates down the length of an MCF sensor. These kinds of optical interference effects allows for wavelength shift due to temperature and curvature radius due to bending as 30-50 pm/K and 20 nm/mm, respectively, for an MCF sensor.
This application claims priority to U.S. Provisional application Ser. 62/181,261 filed Jun. 18, 2015, the subject matter of which is incorporated herein by reference in its entirety.
Filing Document | Filing Date | Country | Kind |
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PCT/US2016/037485 | 6/15/2016 | WO | 00 |
Number | Date | Country | |
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62181261 | Jun 2015 | US |