WO2011070331A1 - Procédés et systèmes pour déterminer des variables de traitement en utilisant un emplacement de centre de gravité - Google Patents

Procédés et systèmes pour déterminer des variables de traitement en utilisant un emplacement de centre de gravité Download PDF

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Publication number
WO2011070331A1
WO2011070331A1 PCT/GB2010/002256 GB2010002256W WO2011070331A1 WO 2011070331 A1 WO2011070331 A1 WO 2011070331A1 GB 2010002256 W GB2010002256 W GB 2010002256W WO 2011070331 A1 WO2011070331 A1 WO 2011070331A1
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WO
WIPO (PCT)
Prior art keywords
container
materials
determining
load sensor
mass
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Application number
PCT/GB2010/002256
Other languages
English (en)
Inventor
Bruce C. Lucas
Glenn H Weightman
Rebecca Mcconnell
Stephen Crain
Original Assignee
Halliburton Energy Services, Inc.
Turner, Craig, Robert
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
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Application filed by Halliburton Energy Services, Inc., Turner, Craig, Robert filed Critical Halliburton Energy Services, Inc.
Publication of WO2011070331A1 publication Critical patent/WO2011070331A1/fr

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Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
    • G01F23/00—Indicating or measuring liquid level or level of fluent solid material, e.g. indicating in terms of volume or indicating by means of an alarm
    • G01F23/20—Indicating or measuring liquid level or level of fluent solid material, e.g. indicating in terms of volume or indicating by means of an alarm by measurement of weight, e.g. to determine the level of stored liquefied gas
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
    • G01F22/00—Methods or apparatus for measuring volume of fluids or fluent solid material, not otherwise provided for
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
    • G01F23/00—Indicating or measuring liquid level or level of fluent solid material, e.g. indicating in terms of volume or indicating by means of an alarm
    • G01F23/80—Arrangements for signal processing
    • G01F23/802—Particular electronic circuits for digital processing equipment
    • G01F23/804—Particular electronic circuits for digital processing equipment containing circuits handling parameters other than liquid level
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01G—WEIGHING
    • G01G19/00—Weighing apparatus or methods adapted for special purposes not provided for in the preceding groups
    • G01G19/08—Weighing apparatus or methods adapted for special purposes not provided for in the preceding groups for incorporation in vehicles

Definitions

  • the present invention relates generally to monitoring materials in a container, and more particularly, to methods and systems for using force measurements to determine the amount of materials in a container and/or the rate at which materials are discharged from a container.
  • Figure 1 is a cross-sectional view of the side of a material storage and delivery system in accordance with an exemplary embodiment of the present invention.
  • Figure 2 is a flow diagram of the overall process for determining process variables in accordance with an exemplary embodiment of the present invention.
  • Figure 3 is a cross-sectional view of the side of a material storage and delivery system in accordance with an exemplary embodiment of the present invention.
  • Figure 4 is a flow diagram of a method for determining material properties in accordance with an exemplary embodiment of the present invention.
  • Figure 5 is a flow diagram of the steps involved in the Full Volume Technique for determining material properties in accordance with an exemplary embodiment of the present invention.
  • Figure 6 is a flow diagram of the steps involved in the Relative Volume Technique for determining material properties in accordance with an exemplary embodiment of the present invention.
  • the present invention relates generally to monitoring materials in a container, and more particularly, to methods and systems for using force measurements to determine the amount of materials in a container and/or the rate at which materials are discharged from a container.
  • the present invention is directed to a method of monitoring materials in a container comprising the steps of: placing the container in a desired position; wherein when the container is placed in the desired position, a change in level of materials in the container changes position of center of gravity of the materials in the container along the horizontal axis; determining the location of center of gravity of the materials in the container; and determining level of materials in the container; wherein the level of materials in the container is determined using position of the center of gravity of the materials in the container and container geometry.
  • the present invention is directed to a method of monitoring materials in a container comprising: placing the container at an angle to vertical; wherein the container rests on a first load sensor and a second load sensor; wherein the first load sensor and the second load sensor are separated by a predetermined distance; determining the mass of the materials in the container using the readings of the first load sensor and the second load sensor; determining the location of center of gravity of the container using a ratio of force at the first load sensor and force at the second load sensor; determining level of materials in the container using the location of the center of gravity and the angle of the container from vertical; and determining the volume of materials in the container using the level of materials in the container and container geometry.
  • the present invention is directed to a method of monitoring the amount of materials in a container comprising: placing the container on an angled platform resting on a first load sensor and a second load sensor; wherein the first load sensor and the second load sensor are separated by a predetermined distance; locating center of gravity of the container at a first point in time; changing the amount of materials in the container; locating center of gravity of the container at a second point in time; determining the change in the level of materials in the container between the first point in time and the second point in time; and determining the volume of materials removed from the container.
  • the present invention is directed to a system for monitoring material storage comprising: a container for storing a material; wherein center of gravity of the container shifts horizontally with changes in level of the material in the container; and a plurality of load sensors coupled to the container; wherein the plurality of load sensors are symmetrically arranged at a base of the container.
  • the present invention is directed to a method of monitoring materials in a container comprising: placing the container on a first load sensor and a second load sensor; wherein the container is positioned at an angle to vertical; determining a relationship between readings of force at the first load sensor and the second load sensor and level of materials in the container; placing a desirable material in the container; monitoring amount of the desirable material in the container using the readings of force at the first load sensor and the second load sensor.
  • the present invention relates generally to monitoring materials in a container, and more particularly, to methods and systems for using force measurements to determine the amount of material in a container and/or the rate at which material is discharged from a container.
  • the storage unit 100 includes a storage container 102 resting on two load sensors A 104 and B 106 and tilted at an angle "a" relative to the vertical. As would be appreciated by those of ordinary skill in the art, with the benefit of this disclosure, the angle "a" may be measured using an incline sensor.
  • the exemplary embodiment uses two load sensors, more than two load sensors may be arranged symmetrically at the base of the storage container 102 and used in conjunction with the methods disclosed herein.
  • load cells may be used as load sensors.
  • Electronic load cells are preferred for their accuracy and are well known in the art, but other types of force- measuring devices may be used.
  • any type of load-sensing device can be used in place of or in conjunction with a load cell.
  • suitable load-measuring devices include weight-, mass-, pressure- or force- measuring devices such as hydraulic load cells, scales, load pins, dual shear beam load cells, strain gauges and pressure transducers.
  • Standard load cells are available in various ranges such as 0-5000 pounds, 0-10000 pounds, etc.
  • the load sensors 104, 106 may be communicatively coupled to an information handling system 108 which may display and process the load sensor readings.
  • Figure 1 depicts a personal computer as the information handling system 108, as would be apparent to those of ordinary skill in the art, with the benefit of this disclosure, the information handling system 108 may include any instrumentality or aggregate of instrumentalities operable to compute, classify, process, transmit, receive, retrieve, originate, switch, store, display, manifest, detect, record, reproduce, handle, or utilize any form of information, intelligence, or data for business, scientific, control, or other purposes.
  • the information handling system 108 may be a network storage device, or any other suitable device and may vary in size, shape, performance, functionality, and price.
  • the information handling system 108 may be used to monitor the amount of materials in the storage container 102 over time and/or alert a user when the contents of a storage unit 102 reaches a threshold level.
  • the user may designate a desired sampling interval at which the information handling system 108 may take a reading of the load sensors 104, 106.
  • the information handling system 108 may then compare the load sensor readings to the threshold value to determine if the threshold value is reached. If the threshold value is reached, the information handling system 108 may alert the user.
  • the information handling system 108 may provide a real-time visual depiction of the amount of materials contained in the storage container 102.
  • the load sensors 104, 106 may be coupled to the information handling system 108 through a wired or wireless (not shown) connection.
  • the center of gravity of the contained material is located at half the height of the material volume at cgl , as shown in Figure 1.
  • the center of gravity of a system is at the same location as the center of mass of that system, and the two terms are used interchangeably throughout the specification. As the amount of materials in the storage container 102 decreases, the center of gravity of the material shifts down and to the right.
  • the center of gravity of the contained material may be located at half the height of the material volume at cg2.
  • the shift in the center of gravity (CG) is sensed with the load sensors A 104 and B 106 by subtracting the relative tare force of the container and any external forces from each value, then evaluating the ratio of the relative forces A' at the load sensor A 104 and B' at the load sensor B 106.
  • the material level can be determined from the ratio of the relative force A' to relative force B' for any known geometry.
  • Cgx F(A',B',L)
  • H F(Cgx)
  • This ratio is independent of material density for any homogenous material and may be used as a tank level indicator. Similarly, the ratio is independent of any external forces that remain consistent with time including, but not limited to, ancillary piping forces, material momentum forces, etc. As with the container of Figure 1 , other tank geometries where the fluid height (H) is a function of center of gravity of the fluid (Cgx) will provide similar results.
  • the volume of the material in the container may be directly calculated. For instance, in the exemplary embodiment, assuming that h2 is the height of the material at a point in time t2, the volume of materials in the container may be determined by multiplying the horizontal cross sectional area of the container by h2.
  • the total weight of the material in the container may be determined using the following equation:
  • Wmatenai is the weight of the material in the storage container 102.
  • the mass of the material may be obtained by dividing the weight of the material by the gravitational constant, g.
  • the density of the material may be determined by dividing the mass of the material by its volume.
  • the relative forces A' and B' at the load sensors A 104 and B 106 may be monitored over time and used to monitor the change in the mass and/or volume of the material in the storage container 102 in real time. The change in mass and/or volume of the material over time may then be used to determine the mass and/or volumetric flow rate of the material from the storage container 102.
  • FIG. 2 is a flow diagram for an overall process for determining material properties for materials stored in a storage container. The process starts at step 202. At step 204, the storage container is placed on a platform which may be coupled to one or more load sensors. As would be appreciated by those of ordinary skill in the art, with the benefit of this disclosure, in one embodiment the storage container may be directly placed on the load sensors. The materials to be analyzed may be placed inside the storage container before it is placed on the load sensors or may be added after the storage container is placed on the load sensor.
  • the user may provide the sensor and/or container properties as an input to the system.
  • the container properties may include information about the shape and dimensions of the container and sensor properties may include the predetermined distance between the force sensors and the response of the sensor(s) to a specific input (force or incline), which may include range, offset, and linearity corrections for the sensor(s).
  • the relative force at each load sensor is determined. Specifically, with respect to the exemplary storage unit depicted in Figure 1 , the shift in the center of gravity is sensed with the load sensors A 104 and B 106 by subtracting the relative tare force of the container and any external forces from each value, then evaluating the ratio of the relative forces A' at the load sensor A 104 and B' at the load sensor B 106. This ratio is independent of material density for any homogenous material and may be used as a tank level indicator. Similarly, the ratio is independent of any external forces that remain consistent with time including, but not limited to, ancillary piping forces, material momentum forces, etc.
  • the total weight of the material in the storage container may be determined as:
  • W storage container [Equation 4] where W ma teriai is the weight of the material in the container at tl , A' is the force at load sensor A 104, B' is the force at the load sensor B 106 and W storag e container is the weight of the empty storage container.
  • the mass of the material may be obtained at step 210 by dividing the weight of the material by the gravitational constant, g.
  • the relative forces A' and B' at the load sensors A 104 and B 106 may be monitored at step 212 over time and used to monitor the change in the mass of the material in the storage container 102 in real time. The change in mass of the material over time may then be used to determine the mass flow rate of the material from the storage container 102.
  • the center of gravity of the material in the container is determined at step 214.
  • the center of gravity of the contained material is located at half the height of the material volume at cgl, as shown in Figure 1.
  • the center of gravity of the material shifts down and to the right.
  • the center of gravity of the contained material may be located at half the height of the material volume at cg2.
  • the lateral movement of the center of gravity affects the reading of the load sensors A 104 and B 106.
  • the location of the center of gravity may be determined at any point in time based on the relative forces A' and B' at the load sensors A 104 and B 106. Therefore, the location of the center of the gravity may be defined as a function of the relative force at each of the load sensors that the container rests on.
  • the following equation may be used to define the location of the center of gravity of the stored material in the X direction as a function of the reading of the load cells A 104 and B 106:
  • CGx is the location of the center of gravity of the stored material in the X direction
  • Bx is the X coordinate of the load cell B 106
  • Ax is the X coordinate of the load cell A 104
  • Bf is the contribution of the stored material to the reading B' at load cell B 106
  • Wf is the total weight of the stored material in the container.
  • the height of the material in the container may be determined based on the location of the center of gravity.
  • the material height can be determined from the ratio of the relative force A' to relative force B' for any known geometry.
  • the height of the material contained in the container may be determined as a function of the location of the center of gravity of the stored material in the X direction using the following equation:
  • equation above may be modified for different storage container shapes or a different number of load sensors, in order to determine the height of the stored material as a function of the location of the center of gravity.
  • the volume of the material in the container may be directly calculated at step 218.
  • the volume of materials in the container may be determined using the horizontal cross-sectional area of the storage container 102 and the height (Hm).
  • the relative forces A' and B' at the load sensors A 104 and B 106 may be monitored over time and used to monitor the change in the volume of the materials in the storage container 102 in real time. The change in volume of the materials over time may then be used to determine volumetric flow rate of the materials from the storage container 102.
  • the density of the material may be determined by dividing the mass of the material by its volume.
  • the change in volume (AV) obtained at step 220 and the change in mass (AM) obtained at step 212 may be used to determine the density of the material removed (p ma teriai removed) using the following equation:
  • the storage container may have a symmetrical shape such that the center of gravity does not shift laterally with a change in the level of materials in the container when the container is placed on a plane surface.
  • the system disclosed herein may include a storage container which is cubical as depicted generally with reference numeral 300 in Figure 3.
  • the storage container 302 may be placed on a support structure 304 with load sensors C 306 and D 308 at its base.
  • the support structure maintains the storage container 302 at an angle b from the vertical so that the center of gravity of the container changes with changes in the level of materials in the storage container 302.
  • the container may then be monitored and analyzed in accordance with the process steps set forth in the flow diagram in Figure 2 and discussed above.
  • the total weight of the material in the tank is determined as:
  • the ratio of the forces Fc and F D at the load sensor C 306 and D 308 may be used to determine the location of the center of gravity cg2 using the equations above.
  • the shift in the location of the center of gravity between tl and t2 may be used to determine the change in the height of the material contained in the storage container 302 using the equation:
  • AH 2*(cg2-cgl )/tan(b) [Equation 1 1 ] [0048]
  • the volume (AV) of the material added to or removed from the storage container 302 may be determined.
  • the change in the mass ( ⁇ ) of the material contained in the storage container between the first point in time tl and the second point in time t2 may also be determined using the readings of load sensors C 306 and D 308 at tl and t2.
  • FIG. 4 Depicted in Figure 4 is a flow diagram of a method for determining material properties in accordance with another exemplary embodiment of the present invention denoted generally with reference numeral 400.
  • the properties of the storage container being analyzed are identified. These properties may include information regarding the shape and dimensions of the container.
  • the process proceeds to step 408 to determine if the container dimensions are known. If not, at step 410 the container dimensions are determined. This process may include determining the dimensions of the container in the X, Y, Z and S directions.
  • step 412 it is determined whether the center of gravity of the empty container is known. If so, the process proceeds to step 416. If not, the center of gravity of the empty container is determined at step 414.
  • the location of the center of gravity is dependent on the shape of the container. Specifically, the center of gravity, R, of a system of particles is defined as the average of their position, rj, weighted by their masses, ⁇ 3 ⁇ 4: ⁇ mm [Equation 12]
  • step 416 it is determined whether the relationship between the center of gravity of the container when it contains materials and the height of the materials is known. If this relationship is known, the process proceeds to step 420. If not, the height of the materials in the container is defined as a function of the center of gravity of the material in the container at step 418. As discussed in more detail above, the relationship for the exemplary embodiment of Figure 1 is defined by Equation 6. As would be appreciated by those of ordinary skill in the art, with the benefit of this disclosure, a similar relationship may be defined for other geometries of the storage container.
  • the container is positioned on the platform used for monitoring the material properties.
  • the platform may include two load cells A 104 and B 106.
  • FIG. 5 is a flow diagram of the steps involved in the Full Volume Technique referred to at step 424 in Figure 4, in accordance with an exemplary embodiment of the present invention.
  • step 502 the location of the center of mass of the filled container (CGfined) is determined. As would be appreciated by those of ordinary skill in the art, with the benefit of this disclosure, the center of gravity of the filled container may be determined using Equation 12.
  • step 504 it is determined whether the mass of the filled container (Mfjied) is known. If the mass of the filled container is known, the process proceeds to step 508. If not, at step 506 the mass of the filled container is determined based on the readings from the load sensors on which the container rests.
  • step 508 it is determined whether the mass of the material in the container is known. If so, the process proceeds to step 512. If not, then the mass of the material in the container is determined at step 510. With the mass of the empty container (M c ) known from step 406 and the mass of the filled container (Mf,ued) known from step 506, the mass of the material in the container may be calculated using the following equation:
  • the height of the material in the storage container may be defined as a function of the location of the center of gravity depending on the shape of the storage container and the number and location of the load sensors. Equation 6 shows this relationship for the exemplary embodiment of Figure 1.
  • the height of the material in the storage container may be defined as a function of the location of the center of gravity at 514 and provided to the system at step 516. Accordingly, at step 516, the location of the center of gravity from step 512 and the relationship between the height of the material in the storage container and the center of gravity of the material from 514 are used to determine the height of the material in the storage container.
  • the volume of the material in the storage unit may be defined as a function of the height of the material in the storage unit.
  • the volume of the material in the storage container (V mate riai) may be determined using the horizontal cross-sectional area of the storage container integrated over the height of the material contained therein. This function is defined at 518 and provided to the system at step 520. Accordingly, at step 520, using the height of the material in the container from step 516 and the function defining the relationship between the height of the material and volume of the material, from step 518, the volume of material in the storage container is determined.
  • the density of the material in the storage container is equal to the mass of the material in the storage container divided by the volume of the material in the storage container. This function is defined at 522 and provided to the system at step 524. Accordingly, at step 524, the mass of the material in the storage container from step 510 is divided by the volume of the material in the storage container from step 520 to determine the density of the material in the storage container.
  • the volume of the material in the storage container may be determined at a first point in time, tl, (V mat eriaii) and a second point in time, t2, (V mate riai2)-
  • step 526 it is determined whether there has been a change in the volume of the material in the storage container. If there has not been a change in volume, the system indicates that the rate of change of volume is zero at step 528 and the process returns to step 502. If there is a change in volume, the rate of change of volume (Dv) is determined at step 530 using the following equation:
  • step 532 (V mate riaii) is replaced with (Vmateriac) and tl is replaced with t2 and the process returns to step 502 in order to carry out another iteration.
  • FIG. 6 is a flow diagram of the steps involved in the Relative Volume Technique referred to at step 426 in Figure 4, in accordance with an exemplary embodiment of the present invention.
  • the center of mass of the empty container (CGc) is designated an assumed location.
  • the mass of the filled container (Mfinedi) is determined at step 604 using the readings of the load sensors on which the container rests and the gravitational constant, g.
  • step 608 it is determined whether the first mass value (Mfinedi) and the second mass value (Mf,ned2) are the same. If the two are the same, the process returns to step 604, where a new point in time is assigned as t2 and a new measurement for ( ⁇ ) is obtained. This process continues until ( finedi) and are no longer the same.
  • step 610 it is determined whether the mass of the filled container at time tl (Mf,nedi) is equal to zero. If so, at step 612, the value of the mass of the filled container at time t2 (Mf,ned2) is designated as the value at tl and the process repeats to obtain a new value for the mass at a time t2 which is different from the value at time tl.
  • MfiHedi is not the same as Mfiiied2 and Mf-,uedi is not equal to zero, the process proceeds to step 614.
  • the change in the mass of the materials between the first point in time and the second point in time is determined using the equation:
  • the center of gravity for the filled container is determined.
  • the center of gravity of the filled container may be determined using Equation 12.
  • the center of gravity of the materials in the container may be determined at step 618 using Equation 14.
  • the height of the materials in the storage container is determined.
  • the height of the material in the storage container may be defined as a function of the location of the center of gravity depending on the shape of the storage container and the number and location of the load sensors. Equation 6 shows this relationship for the exemplary embodiment of Figure 1.
  • the height of the material in the storage container may be defined as a function of the location of the center of gravity and used at step 620 to determine the height of the material (H2) at the time t2.
  • step 622 it is determined whether the height of the material in the container (HI) at the time tl was equal to zero. If so, then at step 624 the height of the material in the container (H2) at time t2 is designated as the height of the material in the container (HI) at time tl , time t2 is designated as time tl and the process returns to step 604 where it is repeated until the height of the material in the container (HI) at time tl is no longer zero. Once the height of the material in the container at time tl is no longer zero, the process continues to step 626 where the change in height is determined using the following equation:
  • the change in the volume (Dy) of the material in the container is determined using the change in height (D H ). Specifically, the change in the volume of the material in the container may be determined using the change in the height
  • the rate of change of volume may be obtained at step 630 using the following equation:
  • step 632 it is determined whether the density of the material in the container is known. If the density of the material in the container is known, the process continues to step 636. If not, then the density is determined at step 634. Specifically, the density (D) may be determined using the change in mass (DM) and the change in volume (Dy) in the following equation:
  • the total volume of the material in the container (V 2 ) at time t2 may be determined by dividing the mass of the material in the container (Mfiued.) at time t2 by the material density.
  • the actual tank fill level is determined from the mass to replace the assumed level that was found at step 620.
  • the center of gravity for the empty container CGc is calculated. In one exemplary embodiment, the center of gravity for the empty container may be calculated using Equation 12.
  • t2 is designated as tl
  • fjn e d2, V 2 , and H 2 are designated as Mfinedi, Vi, and Hi, respectively, at step 642.
  • the process then can return to step 604 and be repeated with t2 now being tl and a new point in time designated as t2, or since the tank position can now be identified, the full volume technique may be utilized.
  • the system and method disclosed herein may be used in conjunction with a storage container of any shape or geometry that produces or may be positioned to produce a horizontal shift in the center of the gravity of the materials contained therein with changes in material level.
  • the storage containers used may have a variety of different slopes and shapes.
  • the storage container may be a right angle triangle (e.g., some hoppers), a rectangular container with an open spout such as a pitcher or kettle shape or a parallelogram as shown in Figure 1.
  • the present invention is described in conjunction with the use of load sensors, as would be apparent to those of ordinary skill in the art, with the benefit of this disclosure, the same methods may be carried out using other types of sensors that are operable to determine forces, moments, stress, strain or other associated parameters.
  • the relationship of the force ratios or eg to fluid level for a particular container can be determined by filling the empty container with fluid of a known density while recording the outputs. This enables application of this method for containers of complex shapes without performing complete mathematical derivations. This technique is also beneficial for containers that typically deform in a consistent manner under load.
  • the force measurement disclosed herein may be used to monitor the density of the material in a storage container in real-time enabling an operator to analyze and control the quality of the material in the storage container. Additionally, the system and methods disclosed herein allow the monitoring of materials in a storage container without the need for the operator to come in contact with the material, which may be helpful when used in conjunction with hazardous materials.
  • system and methods disclosed herein may be used to monitor any homogenous material such as, for example, sand, fluids used in oil field operations, and chemicals used in pharmaceuticals.
  • system and methods disclosed herein are scalable and may be used for a number of applications ranging from small scale laboratory applications to large scale production or industrial applications with various known load sensors.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Fluid Mechanics (AREA)
  • Engineering & Computer Science (AREA)
  • Signal Processing (AREA)
  • Measurement Of Levels Of Liquids Or Fluent Solid Materials (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

Abstract

L'invention porte sur des procédés et sur des systèmes pour utiliser des mesures de force afin de déterminer la quantité de matériau dans un récipient et/ou le débit auquel un matériau est déchargé d'un récipient. Un récipient destiné à stocker un matériau souhaité est positionné de telle sorte que le centre de gravité du récipient se déplace horizontalement en fonction de changements du niveau du matériau dans le récipient. Une pluralité de capteurs de charge sont disposés de façon symétrique au niveau d'une base du récipient, et sont utilisés pour contrôler la quantité de matériaux dans le récipient.
PCT/GB2010/002256 2009-12-10 2010-12-10 Procédés et systèmes pour déterminer des variables de traitement en utilisant un emplacement de centre de gravité WO2011070331A1 (fr)

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US12/635,009 2009-12-10
US12/635,009 US8511150B2 (en) 2009-12-10 2009-12-10 Methods and systems for determining process variables using location of center of gravity

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