Emerson Corporate Template - Davis & Davis

Loading...

Coriolis Meter Overview Seth Harris O&G Manager – Northern Rockies

Emerson Confidential

What is a Coriolis Meter?

A. A volume meter B. A mass meter C. A densitometer D. A process diagnostic tool E. A highly accurate, low/no maintenance meter F. All of the above

Coriolis 101

Coriolis Theory of Operation

Micro Motion: The Birthplace of Coriolis  



Original Micro Motion Manufacturing

Founded in 1977 Invented first practical Coriolis flow and density meter Valued for its precision – Direct mass measurement – Multivariable capabilities • Mass Flow • Volume Flow • Density • Temperature

First Micro Motion Sensor

1,000,000th Micro Motion Sensor Manufactured by year end 2014 Gaspard-Gustave CORIOLIS (1792 – 1843)

History & Industry Guidelines

Coriolis Sensor Components Drive coil

Flow Tubes

Sensor Coil / “Pick-off coil”

Sensor Coil / “Pick-off coil”

RTD Case Manifold / “Splitter” Process Connection Sensor

Coriolis 101

Theory of Operation — Mass Flow Process fluid enters the sensor and flow is split with half the flow through each tube. The sensor flow tubes are vibrated in opposition to each other by energizing a drive coil. Tubes are oscillated at their natural frequency.

Magnet and coil assemblies, called pick-offs, are mounted to the flow tubes. As each coil moves through the uniform magnetic field of the adjacent magnet it creates a voltage in the form of a sine wave.

Coriolis 101

Theory of Operation — Mass Flow During a no flow condition, there is no Coriolis effect and the sine waves are in phase with each other.

When fluid is moving through the sensor's tubes, Coriolis forces are induced, causing the flow tubes to twist in opposition to each other. The time difference between the sine waves is measured and is called Delta-T, which is directly proportional to the mass flow rate.

Coriolis 101

Theory of Operation — Mass Flow The Flow Calibration Factor consists of 10 characters, including two decimal points.

The first five digits are the flow calibration factor. This calibration factor, multiplied by a given Delta-T, yields mass flow rate in grams/sec.

The last three digits are a temperature coefficient for the sensor tube material. This coefficient compensates for the effect of temperature on tube rigidity (% change in rigidity per 100°C).

The Flow Calibration Factor applies to liquid and gas, and is linear throughout the entire range of the meter

Coriolis 101

Theory of Operation — Density Density measurement is based on the natural frequency of the system including the flow tubes and the process fluid.

As the mass increases, the natural frequency of the system decreases.

As the mass decreases, the natural frequency of the system increases.

Coriolis 101

Theory of Operation — Density

Coriolis 101

Theory of Operation — Volume (indirect or calculated) Coriolis 101

Volume Flow Rate

• Volumetric Flow is a calculated variable • Volume can be referenced to standard temperature using the temperature input • Coriolis meters are preferred for volume measurements

• Liquids – Measured Density

– – – –

Low pressure drop Wide turndown High accuracy High degree of linearity

• Gas – User Provided Base Density

=0

Coriolis 101

Review - 3 Basic Measurements Mass Flow Rate - Twist

• Higher the mass flow rate – more twist – ∆T = Time delay

Density - Frequency

Temperature - RTD

• Lighter the fluid → Higher Frequency • Heavier the fluid → Lower Frequency

• Compensate for Tube Stiffness changes • Not for custody transfer of liquids

Coriolis 101 Emerson Confidential

Emerson Confidential

12

12

Product Overview & Recent Advancements

ELITE Coriolis Portfolio Combines Premium Meter Performance, Electronics and Software Offering

ELITE Improvements

F-SERIES Improvements

R-SERIES

±0.4 – 0.5% Mass Flow ±0.003

g/cm3

Density

±0.05% - 0.1% Mass Flow



±0.0002 – 0.0005 g/cm3 Density



Sensor Sizes 1/12-12inch (DN1-DN300)



±0.1 – 0.2% Mass Flow



0.25% Gas accuracy



±0.0005 – 0.002 g/cm3 Density



Widest Turndown



Sensor Sizes 025-300





Best Sensitivity



Turndown





Low/No T & P effects



Improved Sensitivity



Entrained Gas Performance



±0.5% Volume Flow



Reduced T & P effects



Sensor Sizes 025-200



Smart Meter Verification



Smart Meter Verification



Limited Transmitter Capabilities



Transmitter Flexibility



Transmitter and Software Offering



From Chemical Injection to Large Transport Pipelines……. Performance Specification

Standard

Optional

Mass/Volume Accuracy

±0.1% of rate

±0.05% of rate

Mass/Volume Repeatability

±0.05% of rate

±0.025% of rate

Density Accuracy

±0.0005 g/cm3

±0.0002 g/cm3

Density Repeatability

±0.0002 g/cm3

±0.0001 g/cm3

Gas Mass Flow Accuracy

±0.25% of rate (CMFS meters) ±0.35% of rate (CMF meters)

CMFS Meter

CMF High Capacity

Large CMF

Small CMF Meter

1/12”

1/2”

1”

DN1

DN15

DN25

2”

3”

4”

DN50 DN80 DN100

6”

8”

10”

12”

DN150

DN100

DN100

DN100

Comprehensive Large ELITE Offering for your High Flow Rate Needs

CMF200

CMF300

CMF350

CMF400

CMFHC2

CMFHC3

CMFHC4

2inch (DN50)

3inch (DN80)

4inch (DN100)

6inch (DN150)

8inch (DN200)

10inch (DN250)

12inch (DN300)

1,760 403

5,840 1340

10,700 2455

15,200 3490

28,900 6632

49,000 11245

75,000 17210

±0.1% (±0.05%)

±0.1% (±0.05%)

±0.1% (±0.05%)

±0.1% (±0.05%)

±0.1%

±0.1%

±0.1%

±0.05% (±0.025%)

±0.05% (±0.025%)

±0.05% (±0.025%)

±0.05% (±0.025%)

±0.05%

±0.05%

±0.05%

Density Accuracy (g/cm3)

±0.0002

±0.0002

±0.0002

±0.0002

±0.0002

±0.0002

±0.0002

Density Repeatability

±0.0001

±0.0001

±0.0001

±0.0001

±0.0001

±0.0001

±0.0001

Gas Mass Flow Accuracy (% of rate)

±0.35%

±0.35%

±0.35%

±0.35%

±0.35%

±0.35%

±0.35%

Line Size

Nominal Flow Rate (lb/min / bbls/hr – Oil @ 0.75 g/cm3) Liquid Mass Flow Accuracy (% of rate) Liquid Mass Flow Repeatability (% of rate)

Micro Motion 2000 Series Transmitters • 2500 DIN Rail Transmitter – Two 4-20mA output, one frequency, RS – 485 – Digital options: HART and Modbus – Remote mount & DC power only

• 2700 Transmitter – 2700 Configurable I/O, two 4-20mA outputs, one frequency – Digital options: HART, Foundation Fieldbus, Profibus PA – Modbus with Analog version only – Available with stainless steel housing – Self-switching AC and DC power

• 9739 MVD – Two analog (mA) outputs – Frequency output – HART and Modbus

5700 Transmitter • • • •

Five output channels Three analog (mA) output option Frequency pulse output Digital protocols: Modbus and HART

Special Features / Options • • • • • • •

Fully configurable through display Smart Meter Verification Discrete batch control Concentration measurement Petroleum measurement and API correction option Zero verification Historian feature

Transmitter Improvements that Can Have a Big Impact on Your Operations Five Output Channels

Main Design Drivers

• Industry Leading Output Selection • Two linked Pulse outputs + One independent Pulse for maximum flexibility in applications like proving

• Ease of Use

Channels

A

B

C

D

E

mA HART

mA

mA

mA-Input

RS-485

FO

FO

FO

DO

DO

DO

DI

DI

Variables Available for Outputs Mass Flow

External Pressure

Volume Flow

Velocity

Density

Drive Gain

Temperature

Two Phase Indication

External Temperature

Application Specific (% Fill)

– Improve productivity – Eliminate need for special service tools – Minimize time in the field

• Measurement Confidence – Absolute trust in the output from your meter – Diagnostics and tools to resolve uncertainty

• Process Insight – Enable the ability to “go back in time” to understand a process event – Open a window into your process for informed optimization

5700 with Ethernet! • Expansion of the popular 5700 Coriolis transmitter platform to include an Ethernet output version • Native Ethernet architecture and connections, no extra converters or adapters needed • Multiple protocol choices including EtherNet/IP, Modbus TCP and PROFINET • On-board Web server for easy configuration • Simplified PLC integration

Liquid Coriolis Measurement & O&G Industry Guidelines

Mounting Considerations for Liquid Service

Use your common piping practices to minimize: • Do NOT use the sensor to support the piping • The sensor does not require external supports.

Liquid Volume Measurement Basics Volumetric Flow is a Calculated Variable

Volume Flow 

Mass Flow Density

Lbs/HR

= Lbs/BBL

BBLs/HR Emerson Confidential

Oil Custody Transfer • Generics of Crude Oil – Contracts are the rule of law – 3rd Party Influences…..

• American Petroleum Institute Guidelines (API) – Various Existing Standards for Reference including but not limited to: • 18.1 – Measurement Procedures for Crude Oil Gathered from Small Tanks by Truck • 5 – Metering • 6.1 – Generic LACT • 7 – Various Temperature Measurements • 3 – Tank Gauging (Various) • Etc., etc. – Not Requirements…..unless?

Requirements vs. Guidelines

API MPMS Chapter 5.6

Custody Transfer of Crude Oil Using Coriolis Emerson Confidential

24

BLM Oil Measurement Guidelines – Crude Oil

43 CFR 3174

Onshore Order 4 • Overall concept: Prescriptive requirements for equipment and procedures with opportunity to request meter-specific variances from the local field office. • Approved Methods for Oil Custody Transfer: – Manual tank gauging – LACT using positive displacement meter

• Overall concept: Provide prescriptive measurement procedures as a default with the option for national approval of new or alternative equipment or methods that meet well-defined performance criteria. • Oil Custody Transfer Approved (default methods): – – – – –

Manual tank gauging Automatic tank gauging LACT with positive displacement meter LACT with Coriolis meter Stand-alone Coriolis meter

Production Measurement Team for Future Considerations

Pressure Considerations Pressure Drop

Minimum Back Pressure

• Coriolis meters are sometimes smaller line sizes than the main pipeline – Sizing program calculates the pressure drop through the meter. – More pressure drop is created by pipe reducers and a prover. – Back pressure valves are often needed to increase pressure in the meter and the prover to prevent cavitation.

• Back Pressure Valve should be installed downstream of the prover connections. • The amount of backpressure recommended is calculated as follows:

Pb = 2ΔP + 1.25Pe Where:

Fluid Stability

Pb = minimum backpressure required (psig) ΔP= pressure drop across the meter at max rate Pe = equilibrium vapor pressure of the fluid at operating temperature (psia)

Velocity and Recoverable Pressure Drop Total energy = pressure head + velocity head + elevation head Sensor Flow

Pressure, psia

Inlet pipe

Outlet pipe Pressure loss (I.e. by sizing program)

Vapor Pressure

Avoid Pressure Below Vapor Pressure Total energy = pressure head + velocity head + elevation head Sensor Flow

Pressure, psia

Inlet pipe

Outlet pipe

High Vapor Pressure

Liquid flashes (boils)

Gas condenses

Proving determines a Meter Factor

Known Volume = Meter Factor Indicated Volume • If the meter factor is greater then 1.0000 the meter is under-registering (reading low). • If the meter factor is less then 1.0000 the meter is overregistering (reading high).

Potential causes for Meter Factor Being Out – Crude Oil • Meter Factor is High = Meter is reading low – Density reading is high? • Paraffin or other buildup – Meter bypass? – Missing pulses at a flow computer • Electrical issues

• Meter Factor is Low = Meter is reading high – Density reading is low? • Gas breakout or lack of meter back pressure – Prover bypass? • Double block and bleed seal • Four way valve seal on bi-di

Direct Mass Measurement API MPMS 14.7 Standard for Mass Measurement of Natural Gas Liquids

• Direct Mass Measurement – Coriolis meter is programmed for mass pulse output Qm=Imm x MFm

Where: Qm=mass flow IMm=indicated coriolis meter mass MFm=meter factor for coriolis meter mass

Proving – Direct Mass • If the Coriolis meter is providing a mass pulse output, the prover reference volume must be converted to mass. • Density for conversion must be measured at the prover (DMF is density meter factor). • Meter and prover volumes are not corrected (no CTPL). • Base prover volume (BPV) is corrected for temperature and pressure effects on steel (CTPS).

DT

Mass = Volume X (Density x DMF)

Inferred Mass Measurement API MPMS 14.7 Standard for Mass Measurement of Natural Gas Liquids

• Inferred Mass Measurement – Volumetric flow measurement with on line density measurement Qm= IV x MFv x ρf x DMF Where: • Qm = mass flow • IV = indicated meter volume at operating conditions • MFv = volumetric meter factor • ρf = indicated density at flowing conditions • DMF = density meter factor

Coriolis Meter

Repeatability • Repeatability between proving runs – Repeatability is used to determine if conditions exist such that a valid meter factor can be obtained from the data. • API repeatability criteria is based on obtaining a random uncertainty of ±0.00027 or less for the meter factor

• The calculation of repeatability can be based on pulses from the meter or the meter factor which has been calculated for each proving run. • Example of calculating repeatability with a 3.0 barrel prover with 10K pulses per barrel using the average data method: • • • • •

30001 30005 30005 30010 30015

Maximum - Minimum Minimum

X 100 = 0.04%

Reproducible Proving Results • Meter factor shift from a previous proving is referred to as reproducibility. • Generally, a plus or minus 0.0025 shift in factor should be evaluated. This would indicate a change of 0.25% which was the traditional accuracy statement for a flow meter. Companies have internal standards that vary from changes of 0.1% to 0.5% from previous factor as case for pulling the meter for evaluation.

• A meter’s specification for repeatability may be 0.05%. An interpretation of this as reflected in meter factor shift between provings would be a shift of 0.0005 in factor. It is not realistic to expect this type of reproducibility of proving results.

Potential causes for Meter Factor Being Out - NGLs • Meter Factor is High = Meter is reading low – Density reading is high? • Paraffin or other buildup – Meter bypass? – Missing pulses at a flow computer • Electrical issues

• Meter Factor is Low = Meter is reading high – Density reading is low? • Gas breakout or lack of meter back pressure – Prover bypass? • Double block and bleed seal • Four way valve seal on bi-directional valve

• Factors that cause density changes – Temperature – Pressure – Composition • If the density measurement conditions (temperature, pressure, and/or composition) differ from the conditions in the volume flow meter, inferred mass accuracy is impacted • If the density measurement conditions (temperature, pressure, and/or composition) differ from the conditions in the volume prover, direct mass proving accuracy in impacted

Gas Properties Overview Seth Harris Emerson O&G Manager

Using Mass Flow for Gas Measurement Condition 1 “Actual” conditions

ρ1

P1

Condition 2 “Standard” conditions

T1

ρ2

P2

P1 = 150 psig T1 = 150°F ρ1 = 0.73 lb/ft3

T2 P2 = 0 psig T2 = 60°F ρ2 = 0.07 lb/ft3

Mass Flow is:    

Independent of temperature and pressure Better mass & energy balance Reduced process variability Meaningful quantity measurement of compressible fluids

General Gas Properties

Gas Density and Specific Gravity Definitions Term Gas Density

Definition The mass of gas per unit volume at the actual pressure and temperature conditions (@ Line Conditions)

Standard Density This the density of a gas @ standard (Also known as: Base or Normal Density)

Relative Density

Specific Gravity

conditions of temperature or pressure (eg. 1 atm, 15.556oC or 1 Bar, 20oC) Ratio of density of a gas to the density of air, where the density of both gasses are taken at identical conditions of temperature & pressure The ratio of molecular weight of a gas to that of molecular weight of dry air. (Dry Air Density = 28.96469)

Units g/cc or kg/m3 g/cc

or kg/m3 None

None

Why measure Mass directly for Gas Flow? P = 50 psia

• Gases are compressible – Density changes with Pressure and Temperature ** Volumetric flow is usually meaningless: “acfm” need mass flow: “lb/hr”, “scfm”

P = 100 psia

Same volume 2x the gas! General Gas Properties

Gas Coriolis & Industry Guidelines

Mounting Considerations for Gas Service

Use your common piping practices to minimize: • Do NOT use the sensor to support the piping • The sensor does not require external supports.

Oil & Gas Industry Approvals API Manual of Petroleum Measurement Standards (MPMS) & AGA Standards – –

AGA Report No. 11 Dec. (2003) API Chapter 14, Section 9 (2003)

• The Measurement of Natural Gas by Coriolis Meters • Second edition Feb 2013

History & Industry Guidelines Emerson Confidential – Please Do not Distribute

AGA Report No. 11 / API MPMS Ch. 14.9 Measurement of Natural Gas by Coriolis Meter  Tightening of performance requirements from ± 1.0% to ± 0.7%  Water calibration transfers to gas only when the manufacturer has proof of testing by a 3rd party.  Additional meter “verification” steps will guide the user on the need to flow test  Flow testing can be performed in the field per new guidelines  New appendices added:  Coriolis Gas Flow Measurement System  Coriolis sizing equation  Coriolis Uncertainty section and Example Uncertainty Calculation

History & Industry Guidelines

Conversion of Mass to Volume at Standard Conditions  AGA11 Eqn. D.2  lbs/day ÷ lbs/ft3 = ft3/day

 AGA8 Detail  Non-ideal gas law: Pb, Tb, R are constants. Note: Zb does not vary more than 0.02% at base conditions.

 AGA8 Gross 1 or 2

 Note: ρ(Air) is constant. NO PRESSURE OR TEMPERATURE Measurement Required to Convert from Mass to Standard Volume. Molar weight, Base Compressibility, and Specific Gravity Are ALL DETERMINED BY GAS COMPOSITION.

History & Industry Guidelines

Gas Volume Measurement Basics Mass Flow Volume Flow  Density

• Volumetric Flow is a Calculated Variable

Lbs/Day = Lbs/SCF `

SCF/Day Emerson Confidential

API Chapter 14.9/AGA 11 Overview • Meter Requirements

Corilois Meter Performance Specification

– Documentation and Interface: Drawings, Outputs options (232, 485 or Pulse), Diagnostics, Documentation – Testing: Static Pressure Testing, Alternative Calibration Report/Traceability to National/International Standards

 Better reference uncertainty possible in liquid (e.g., water) labs

 Meters may also be calibrated in gas laboratories  Option for Piece-Wise Linearization (PWL) used by ultrasonic meters is available for fine tuning by third-party gas labs

• Meter Sizing & Selection Criteria – Process Conditions – Required meter accuracy

Error Limit = +1.4% (Qmin ≤ Qi < Qt)

1.40 1.20 1.00 0.80

Error Limit = +0.7% (Qt ≤ Qi ≤ Qmax)

0.60 Percent Error (%)

 Meters may be calibrated for natural gas in liquid laboratories

1.60

Repeatability ±1.0% (Qmin ≤ Qi < Qt)

0.40 0.20 0.0

Maximum P-P Spread 0.7% (Qt < Qi ≤ Qmax)

-0.20 -0.40

Repeatability ±0.35% (Qt ≤ Qi ≤ Qmax)

-0.60

Error Limit = -0.7% (Qt ≤ Qi ≤ Qmax)

-0.80 -1.00 -1.20

Error Limit = -1.4% (Qmin ≤ Qi < Qt)

-1.40 -1.60

0

Q min

Qt

Flow Rate (Q i)

Q max

History & Industry Guidelines Emerson Confidential

47

API Chapter 14.9/AGA 11 Overview (cont’d) • Gas Flow Calibration Requirements – Reports, Facility Requirements, Documentation

• Installation Requirements – Temperature (Ambient and Process, not required for mass based measurement) – Pressure – Upstream installation is preferred, if needed

• Field Meter Verification – Transmitter Verification – Cal Factors, etc. – Sensor Verification – Consult Meter Manufacturer → SMART Meter Verification – Temperature Verification – Meter Zero Verification – Verify Zero Function

History & Industry Guidelines Emerson Confidential

48

API Chapter 14.9/AGA 11 Overview (cont’d) • Flow Performance Testing – in-situ verification – Alternative Fluids

• Recalibration – AGA 6, Field Proving by Transfer Standard Method

History & Industry Guidelines Emerson Confidential

49

Appendix E Coriolis Gas Flow Measurement System

History & Industry Guidelines Emerson Confidential

50

BLM Measurement Guidelines – Natural Gas

43 CFR 3175

Onshore Order 5 • Overall concept: Prescriptive requirements for equipment and procedures with opportunity to request meter-specific variances from the local field office.

• Overall concept: Provide prescriptive measurement procedures as a default with the option for national approval of new or alternative equipment or methods that meet well-defined performance criteria.

• Approved Methods of Gas Custody Transfer:

• Gas Custody Transfer (default methods):

– Orifice meter with chart recorder – Electronic flow computer (statewide NTLs)

– – – –

Flange-tapped orifice meter (primary device) Chart recorders (less than 200 Mcf/day) Electronic gas measurement (EGM) Standard methods of gas sampling and analysis

Production Measurement Team for Future Considerations

Application Specific Technical Details, Troubleshooting and Prolink III Interface

Micro Motion Zero Verification Video - YouTube

Span vs. Zero

y  mx b



Meter Zero

Flow Calibration Factor

Coriolis Meter Zeroing Best Practices • Most applications → Use factory zero • To verify zero after installation, first: – Ensure no flow condition – Ensure meter is full of fluid (gas or liquid, not both) – Ensure process conditions are stable

• Next: Initiate Micro Motion Zero Verification Tool – Monitors 8 parameters to check stability of process and check current zero value

What is Pressure Effect on Round Tubes? • Internal pressure changes the shape of the flow tube – Tube ovality becomes round – Tube bends straighten

• Changes in flow tube shape increases stiffness of flow tube • Changes in tube stiffness directly affects sensor calibration

m  FCF * time delay FCF  tube stiffness

• As pressure increases, tube stiffness increases • For small sensors with relatively thick tube walls, this effect is small • Amount of twist is less for the same mass flow as pressure/stiffness increases • Pressure effect will cause an under reading therefore the correction required is in the positive direction

Indicated Flow Rate

Pressure Effect on Coriolis Meters

Actual Flow Rate

Pressure Span Effect

Qmindicated  MFm * FCF * 1  FTmimo *tmimo * 1 FPmimo * ( Poper  Pcal ) * Tmeasured  Tzerostored * LD * (1  EDC )

Actual Flow Rate

Compensation Options

Emerson Confidential

Verification Addresses Challenges of Calibration and Proving Calibration

Validation

Verification

• Establish relationship between flow rate and signal produced by sensor • Should be traceable and accredited

• Compare meter to a reference to confirm performance • Example: Prover or master meter

• Correlate diagnostics to primary variables • Example: Structural integrity of tubes

In-situ Verification with Smart Meter Verification Frequency Response Function

Typical internal SMV verification On-demand



One button



10

10

10

3

Freq=sqrt(K/M)

Formal report



Less than 2 minutes



No interruption to process or measurement Scales with host systems

10

1

0

Nominal K Nominal M -1

Frequency (Hz)

Meter verification procedure

Test tones

K M Tones

Peak ~1/

2

No extra equipment





FRF Magnitude



10

Sensor response

10

2

Look Beyond the Meter with SMV Professional

Process

• Installation • Multiphase Flow Detection • Operating flow range

Sensor

• Tube stiffness • Drive coil • Pickoff coils • RTD • Tube coating

Transmitter

• Sensor signal • Zero calibration • Configuration • Alerts

Updated SMV Capabilities Basic

1500, 1700, 2400, 2500, 2700, 5700

1500, 1700, 2400, 2500, 2700

5700

Included

Licensed

90-DayTrial, Licensed

Improved detection

X

X

X

Scheduler

X

X

X

X

X

Compatibility

Report Coating detection

Emerson Confidential

Professional

X

Installation verification

X*

Multiphase diagnostic

X*

Flow range diagnostic

X*

* Additional functionality in ProLink III Professional

62

Loading...

Emerson Corporate Template - Davis & Davis

Coriolis Meter Overview Seth Harris O&G Manager – Northern Rockies Emerson Confidential What is a Coriolis Meter? A. A volume meter B. A mass mete...

4MB Sizes 7 Downloads 0 Views

Recommend Documents

Davis Veterinary Products | Bowser Ties - Davis Manufacturing
Davis Veterinary Products is the professional groomer's source for wholesale pet grooming supplies, clippers, shampoos,

EVAN DAVIS
Recently applied for a utility patent on an SEO tool (App# 13/587,707). EDUCATION AND CREDENTIALS. California State Univ

Renecer Davis
Feb 1, 2017 - Account Nbr: MDC-1044. Quote: 1-RCTISG-Plantation FL City Of. PO#: TBD. Performance Period: 12/01/2016 thr

UC Davis Eye Center Welcomes Tania Hashmi - UC Davis Health
UC Davis Health System is in a time of tremendous growth and change. The changes in our national healthcare system have

Grounding Kit - Davis Instruments
drive it into the ground until only 4-5 inches (10-12 cm) of the rod remains visi- ble. Or, you may dig a hole about 6â€

Coloring - Tom Davis
Oct 21, 2008 - Suppose, instead of dominoes, you have “trominoes”: sets of three squares ... The four-color theorem

Bunch ITS Talk - May 8, 2015 - ITS-Davis - UC Davis
May 8, 2015 - Optimization-based (using LP and Mixed LP). In theory: 'Spatial & Temporal' Partial Equilibrium ... Conven

SeTSBooRISToryl. - Davis School District
6. PeTer I in our pool on SaTurday. 7. I have Two and go To school also. 8. ... wiTh your family Than away. 5. Please Th

Articles - Grove Davis Insurance
Hot Tips to Prepare for Summer Heat – By Texas Oil & Gas Association. Are you and your workers ... Some brands also co

UC Davis - eScholarship
Aug 29, 2005 - Wisniewski, A. (2001): Zapora typu “King Frog” chroniaca male zwierzeta w obszarach graniczacych z si