Mathcad for flow metering Calculations
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Transcript of Mathcad for flow metering Calculations
Mathcad in Oil & Gas Applications
Thomas Devaraj – Senior Technical Specialist
2
Agenda
• Introductions
• About PTC
• Mathcad strategy overview
• Flow metering Case Study
• Product walk-through & example
• Q&A
© 2010 PTC2
3
Agenda
• Introductions
• About PTC
• Mathcad strategy overview
• Flow metering Case Study
• Product walk-through & example
• Q&A
© 2010 PTC3
4
PTC: The Product Development Company
Passionate5,000 professionals focused solely on product development solutions
InnovativeOur ability to foresee industry needs has enabled us to be first to market with powerful product development solutions
TrustedEvery year, more than 25,000 companies rely on us to help give life to their product ideas and to drive product development success
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Why PTC is the Leader
Broad capabilities on a superior architecture
Technology
Ahead of the curve at
anticipating needs
Thought
Masters at helping customers
realize value
Value
Revenue leadership with superior growth rates
Financial
6
Product Development Challenges
Economic factors
IT fragmentation
Lean product development
IT consolidation
Global product development
Workforce demographics
Web 2.0 technology
Regulatorypressures
Compliance management
CHALLENGES
INITIATIVES
Global competition
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Our Product Development System
DistributedCollaboration
VisualizationChange & Config. Mgmt
Workflow
Communities of Practice
Heterogeneous CAD Data Mgmt
Complete BOM Management
Product Lifecycle
Management
Document Management
ECAD DataManagement
EnterpriseInteroperability
ERP
SAP, Oracle,Dynamics
Business Reporting
ProductAnalytics
InSight
ServiceInformation
Arbortext
Quality, Risk & Reliability Mgt.
Relex
Component Management
Windchill PartsLink
DigitalMockup
CreoWindchill Supplier Management
Supplier Management
Manufacturing Process Mgmt.
Windchill MPMLink
FinancialsSCMMRP
Engineering Calculations
Mathcad
Program Portfolio Management
Windchill PPMLink
EmbeddedSoftware
Open Source,Rational
Requirements Management
WindchillRequirementsLink
MCAD / CAM / CAE
Creoand other MCAD
ECAD
Cadence, Mentor, Zuken
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What is Mathcad?
=($B$1*$D$1/2)*((PI()*$F$1*$D$1-$H$1)/(PI()*$D$1+$F$1*$H$1))+$B$1*$F$2*$D$2/2
Not this:
This:…or this
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Agenda
• Introductions
• About PTC
• Mathcad overview
• Flow metering Case Study
• Product walk-through & example
• Q&A
© 2010 PTC9
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> Mathcad is evolving to support the three basic strategic customer needs
– Personal productivity– Collaboration– Process
> Productive engineers need best in class engineering calculation software
> Communicating results is as important as calculating them, critical for knowledge transfer and collaboration
> Engineering activities do not happen in isolation, but as part of processes that support business initiatives
> Mathcad’s efficiency is critical to all three
PTC’s Mathcad Product Strategy
Personal• Desktop Product
Strategy
Collaboration• Multi-product
Strategy
Process• PDS Product
Strategy
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> Other analysis, CAD, FEA, raw data sources tools and applications
> Ad-hoc content sharing with MS Office (Excel, Word, PowerPoint)
> Manage content in SharePoint, worksheet associations in ProductPoint
> Manage, search, route content, and utilize viewables in Windchill
> (future) Enable common math language protocol for cross-application sharing
> (future) Combine social networking with product development in SPD
> (future) Web-browser calculation delivery and IP protection
> (future) Collaborative enhancements such as rights management, real-time worksheet collaboration, etc
Mathcad Strategy (Collaboration)
Mathcad product-based integrations enable better collaboration
Engineering applications
MS Office applications
Windchill ProductPoint
Windchill
MathML common language
Windchill SocialLink
Web
Other futures
Increasing value to organization
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© 2010 PTC
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The Mathcad environment at a glance
> Intuitive
– Simple to use, yet powerful– Natural math notation– whiteboard interface
> Comprehensive
– Combines text, live equations, graphics, and annotations in a single worksheet
– Unmatched breadth of application- powerful mathematics functionality
– Unit awareness – Automates process; repeatable &
auditable
> Interoperable
– Easily integrates with other engineering applications
0 0.5 1 1.5 2 2.5 3 3.5 41
0.5
0
0.5
1Fig 1: Airfoil Shape using Bezier Curves
Yj
Vj
v1s 1
v2s 1
X j U j v1s 0 v2s 0
Mathcad is used to explain the theory of airfoil lift, provides a numerical analysis of the flow over an airfoil (to compute CL) and
correlates the experimental results.
Lift Ap cos
d A0.5 U2
1u
U
2
cos
d
CLLift
0.5 U2 As
CL
2
N
j
dxj 1 0.5 V
j 1 Vj
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Overcomes Inefficiencies of Traditional Tools
Hand Calculations / Reference Material – Hand Calcs - easily written – yet difficult to confidently understand
• It’s strictly a static document – modifications or reusability requires a re-write• Time consuming & error prone
– Books/Electronic documents – often “dead” documents, re-work is not easy• Re-work is time consuming, & requires some translation to a new platform• Errors in translation & not economical with time
Mathcad addresses inefficiencies with clear, documented, reusable engineering solution
Excel (& Word) ~ Pervasive, but Imperfect
– Excel - live calculations, formatted as doc with excessive efforts• but formulae hard to read – auditing difficult/lack of documentation in one tool
– No “units” management • (eg Mars Explorer issue, etc)
– Prone to errors when re-used• (90% of spreadsheets over 150 rows)
Programming-based approaches– Geared toward heavy analysis/simulation (where applicable)– Very specialized capabilities,
• requires very fluent users (often programmers & not engineers)
– Re-use can be restricted• Typically a high learning curve, low reusability, not for documentation
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© 2010 PTC
Major O&G Companies are Standardising on Mathcad
Maersk, Drilling Operations
Audit requirements to ISO 5167 on metering devices for oil/gas flow. Excel made iterations difficult and little transparency. Mathcad is used for all auditing/checking.
Previous tools used — hand written calculations, calculators, spreadsheets, programming solutions, etc
Smith Rea, Metering Performance
Subsea7, Pipelines & Structures
Mathcad used to analyse and communicate drilling performance calculations between on-shore andoffshore teams – resulted in significant drilling performance and production improvements
Mathcad is the critical tool for performing & documenting all pipeline and structural calculations to ISO and DNV specifications.
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Agenda
• Introductions
• About PTC
• Mathcad overview
• Flow metering Case Study
• Product walk-through & example
• Q&A
© 2010 PTC15
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Case Study - Flow metering
> Measurement principles– The flow of gas in a pipeline is measured using an orifice plate meter; this
is essentially a flat plate with a circular hole, inserted into the pipe line.
– A pressure drop occurs across this plate when a fluid flows.
– The mass flow rate is determined by measuring the differential pressure http://en.wikipedia.org/wiki/File:Orifice.png
(pressure drop) across the plate along with a number of other parameters
> Standards Compliance, Validation– The mass flow calculation is given in the international standard ISO 5167.
– In an industrial installation this calculation will be performed using dedicated flow computers.
– There is a requirement to validate these calculations and periodically perform independent checks,
– Tools such as Excel had been used, but iteration made this cumbersome and transparency is difficult to achieve, increasing risk of errors.
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Case Study - Flow metering cont’d
> Effects of Errors in flow calculations– Accuracy is paramount, when measuring natural gas flow through a pipeline there
is no room for calculation errors. – An error of a fraction of a percent may over time result in a bias with a value of millions of dollars.
> Mathcad Solution – Calculations in an interactive Mathcad worksheet written to ISO-5167– Full support of Units in flow measurements
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> Benefits– Aids transparency of calculation – ideal for re-use and auditing– Supports compliance to Industry Standards– Allows for quick re-use– Framework for validation of results against Industrial tools and processes
– Protects the bottom line
Case Study - Flow metering cont’d
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Agenda
• Introductions
• About PTC
• Mathcad overview
• Flow metering Case Study
• Product walk-through & example
• Q&A
© 2010 PTC19