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 CHEMICAL ENGINEERING TRANSACTIONS  
 

VOL. 48, 2016 

A publication of 

 
The Italian Association 

of Chemical Engineering 
Online at www.aidic.it/cet 

Guest Editors: Eddy de Rademaeker, Peter Schmelzer
Copyright © 2016, AIDIC Servizi S.r.l., 
ISBN 978-88-95608-39-6; ISSN 2283-9216 

New Visualizations in the Development of Function and 
Failure in Process Design and Operations 

Ian T. Cameron*a, Erzsébet Németha, Benjamin J. Seligmannb 
aSchool of Chemical Engineering, The University of Queensland, Brisbane, Queensland, Australia 4072 
bDepartment of Chemical Engineering, Curtin University, Perth, Western Australia, Australia 6102 
itc@uq.edu.au 

Visualization can improve insights into choices made in early stages of design, particularly in relation to the 
impact of system related failures. Improved decision making can lead to higher commitment to inherently safer 
designs, more fault tolerant systems and increased operational resilience. 
This paper considers useful ways to visualize the function of a design in terms of the state space defined by 
multiple capabilities possessed by the individual components that constitute the system. Capability is related 
to the abilities of the component to affect the states of the system, primarily the properties of mass and energy 
streams that flow through the system. A representation that is constructed from these capability vectors, 
defines the potential space in which the system can normally operate. It can also quickly show the impact on 
that state space when selected capabilities are degraded or lost. It can be used in conjunction with process 
design tools to show in real-time the evolution of the design and the impacts of component failures on the 
operations. 
An industrial case study drawn from crude oil processing illustrates the visualization insights and benefits of 
the proposed methodology. 

1. Introduction 

New insights into the implications of design decisions at both the front-end engineering design (FEED) and 
operational stages of the process life cycle are needed for improved risk management practices. This work 
proposes new geometric representations of the evolving system function that permits real-time analysis of 
function, failure and performance degradation as the design takes place.  The methodology can also be used 
for existing operations through extraction of information from existing Piping and Instrumentation Diagrams 
(P&IDs). 
Describing and understanding function is critical in hazard identification, risk management and fault diagnosis. 
Function arises from the individual capabilities possessed by plant components (Seligmann et al., 2012). A 
capability is defined as an action on a system property, such as <increase><pressure>. Here increase is the 
action and pressure is the property. As the pressure is increased, the state of the system is altered, since the 
state is described by a set of properties that are principally associated with process streams. Certain sets of 
capabilities deliver the overall function of the system. Affecting the values of these properties is what a 
process system is designed to do, in order to meet its operational goals. As such, if the desired capabilities 
are not activated to the required extent to provide the desired functions, the production, safety, environmental 
and/or economic goals of a process system will most likely not be met. 
The full set of component capabilities defines the Capability State Space (CSS) within the Lawful State Space 
(LSS), where thermodynamic and physical feasibility applies. See Figure 1. Since system function is related to 
certain activated component capabilities, the Functional State Space (FSS) of the design is then contained 
within the CSS. In operating the process system, the Operating State Space (OSS) depends on both the 
process stream properties and component function. This space can be visualized within the FSS. 
Failure and/or degradation of capabilities change the CSS and FSS respectively. Such changes show whether 
the designed OSS remains feasible, or if latent capabilities might be activated to retain feasible operation. 

                               
 
 

 

 
   

                                                  
DOI: 10.3303/CET1648111

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Please cite this article as: Cameron I., Németh E., Seligmann B., 2016, New visualizations in the development of function and failure in 
process design and operations., Chemical Engineering Transactions, 48, 661-666  DOI:10.3303/CET1648111  

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Alternatively, changes in the actual OSS can suggest process design changes for improved operational 
performance. 

2. System concepts 

Figure 1 shows the following state space concepts: 
• The Lawful State Space (LSS), which constitutes a space where the laws of physics, chemistry and 

thermodynamics are valid (Bunge 1977). 
• The Capability State Space (CSS), which is the space defined by the ‘activated’ and ‘non-activated’, 

or ‘latent’, capabilities of the components that make up the designed entity. It encompasses all 
possible capabilities of components and the system. 

• The Functional State Space (FSS), which is the space defined by the purposely ‘activated’ 
capabilities of the system components so that the system possesses the requisite functions to deliver 
the design and operational goals. 

• The Operational State Space (OSS), which is defined by the stream properties reflecting the space 
mapped out by the desired region of operations. This normally is bounded by the functional state 
space. 

It is important to realise that the OSS is directly determined by the FSS. This is because the FSS provides the 
desired capabilities to affect the properties of the streams. However, it is possible that the boundaries between 
the FSS and OSS can coincide, or even be breached under abnormal operational conditions which include 
system disturbances and component failures. 

 

Figure 1. State space regions 

There are important additional features such as resilience that can be identified by such a set of state space 
representation particularly as the capability sets related to components are clearly defined. 

2.1 Capability sets and the evolution of sub-system function 
As the components and streams of a process system interact, different capabilities are activated to deliver the 
function of the system. Tables 1 and 2 describe the capability sets for some basic flowsheet components.  

Table 1. Capability sets for basic flowsheet components 

Component Capability Set 
Gate valve {<contain><m>,<permit><Ff>,<stop><Ffr>} 
Centrifugal pump {<contain><m>,<permit>< Ff>,<increase><P>, …} 
Control valve {<contain><m>,<permit><Ff>,<regulate><Ff>, …} 
In-line flow meter {<contain><m>,<permit><Ff>,<observe><Ff>, …} 
Non-return valve {<contain><m>,<permit><Ff>,<stop><Fr>, …} 

Pipe section {<contain><m>,<permit><Ff>, …}  or {<contain><M>,<permit><Ff>, …} 
Pressure relief valve {<contain><m>,<permit><Ff>,<stop><Fr>} 
Dry oil tank {<contain><m>,<permit><F>,<separate><Ø>} 

Lawful State Space: LSS

Capability State Space: CSS

Functional State Space: FSS

Operational State Space: OSS

All capabilities

All activated capabilities

Determined by stream 
properties

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Table 2. Symbol definitions for basic flowsheet components 

Symbol Definition Symbol Definition 
F Flow m Component mass:{m(i), i=1(1)n} 
Ff Forward flow x Composition:{x(i), i=1(1)n} 
Fr Reverse flow M Total mass 
Ffr Forward and reverse flow Xs Solids fraction 
P Pressure Ø Phase 
T Temperature   

2.2 Operation modes 
Operational modes of the system are important. A gate valve has two main operational modes: ‘open’ or 
‘closed’. Different sets of capabilities need to be activated for each operational mode. If the mode of a gate 
valve switches to “open” instead of “closed”, then the capabilities that should be activated are 
<contain><mass> and <permit><flow> instead of <contain><mass> and <stop><flow>. 

2.3 Geometric representation of capability sets 
Capabilities have two parts: action and property. The action part affects the range of the capability, such as 
<increase><pressure> in a pump. The action, ‘increase’, acts on the nominated stream property ‘pressure’ 
causing an increase in the fluid pressure. Visually a capability can be represented as a line interval with 
various constraints. Three capabilities are shown in Figure 2. The marking points are used for indicating the 
range(s) or specific values, like zero datum or a hard constraint. In keeping with normal mathematical set 
theory, we adopt the square brackets […] to signify a closed interval. 
Various types of capabilities can be represented on a single diagram. Grouping and ordering arrangements 
can provide different meanings and/or better understanding. We examine the value of utilising this approach 
for visualising function. 

3. Case study 

Figure 3 shows the system under consideration. Crude oil, gas and residual sand enter into a dry oil tank 
(DOT101) from bulk oil treatment. In the vessel, gas and oil are separated, sand is retained by a weir. Crude 
oil is pumped downstream under level control through the LACT booster pumps and other processing 
facilities. Gas is discharged to compression facilities. A purge and LP blanket gas feed maintains the operating 
pressure. The design pressure of DOT101 is 1050kPag at 120ºC. Multiple pressure safety valves are 
incorporated. Figure 3 shows the capability sets and the dashed, highlighted plant section under study. 

 

Figure 2. Example of linear representation of a set of capabilities 

Some capabilities are ‘latent’, but they play a vital role in system integrity. Most components have two key 
latent capabilities: <withstand><pressure> and <withstand><temperature>. Note that in Figure 3 the 
capabilities are described as the triplet: <component><action><property>, e.g. DOT101.p.F. Figure 4 shows 
the numeric capability intervals. Mass holdup, pressure and flow are key system properties and Figure 5 
shows the shape and profile of these key properties. 
The charts show the capability profiles across the subsystem from L101 to L112. The functional state space 
(FSS) can be seen in relation to the OSS. It is now possible to observe the effect of failures in any component 
and the resultant impact on the FSS and OSS. 

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3.1 Visualizing component failure 
To see how a component failure influences the FSS and the OSS representations we look at a failure mode in 
the emergency shutdown valve ESDV2 of ‘failed closed’ when operating in ‘open’ mode. Figure 6 shows that 
the ESDV2 closure leads to significantly reduced inventories downstream of the closed ESDV2 component, 
and a rise in the operating liquid inventory within the dry oil tank. 

 

Figure 3. Dry oil tank and crude oil transfer system with component capability sets 

 

Figure 4. Capability ranges for oil transfer section 

DOT101

P1 P2 P3

FM1 FM2 FM3

V1 V2 V3

L102

S1

L106

S2

L107

S3

L108

L101
Oil-gas-sand feed

PRV3

PRV 2

PRV1

NRV1 NRV2 NRV3

V4 V5 V6

L111L110L109

LP flare

Sales oil
L112

 

ESDV2

Recycle crude
L104

VRU
NRV4

 

ESDV1

V7

CV1 CV2 CV3

V8 V9 V10

NRV7NRV6NRV5

L113 L114 L115

L103

L105

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L102

Zero datum

lower upper lower upper lower upper lower upper
ID Description k g k g k Pag k Pag C C k g/s k g/s

L101 pipeline segment: 30m DN750, Class 150 0 9278 -100 1700 -29 150 -10 250
ESDV1 emergency shutdown valve, Class 150 0 93 -50 1700 -29 150 -20 250
DOT101 dry oil tank, 85m3 capacity, Class 150 0 84673 -20 1870 0 150 -4 250
L102 pipeline segment: 15m DN400, Class 150 0 1319 -100 1700 -29 150 -10 250
ESDV2 emergency shutdown valve, Class 150 0 26 -50 1700 0 150 -2 250
V1 isolation gate valve, Class 150 0 15 -5 1700 0 150 0 250
S1 line strainer, Class 150 0 15 -50 1700 -29 150 -20 250
L106 pipeline segment: 3m DN300, Class 150 0 148 -100 1700 -29 150 -20 250
P1 centrifugal pump, Class 300 0 25 -20 3500 -29 150 -20 250
FM1 flow meter, Class 300 0 15 -50 3500 -29 150 0 250
NRV1 non-return valve, Class 300 0 15 -50 3500 -29 150 -20 250
L109 Class 300 pipeline segment: 3m DN250 0 103 -100 3500 -29 150 -20 250
V4 line isolation valve, Class 300 0 10 -50 3500 -29 150 -20 250
L112 pipeline segment: 10m DN400, Class 300 0 880 -100 3500 -29 150 -20 250

Capability state space
Mass Pressure Temperature Flow

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Figure 5. Functional State Space and Operational State Space for mass, pressure and flow 

 

Figure 6. FSS-OSS mass holdup (kg) across system after ESDV2 ‘fails closed’ 

In Figure 7 we see that the ESDV2 ‘failed closed’ situation has impacted significantly on the downstream 
pressure reducing this to almost zero. The ESDV2 component is now unable to fulfil the capability of 
<permit><flow> and the pump P1 is starved of liquid feed and hence cannot generate a pressure head. 
Likewise in Figure 8 we see that no liquid flow proceeds from the DOT101 liquid discharge but the tank can 
still fill with liquid as seen in Figure 6. 
The visualizations are informative and reflect the implications from component failures. These can be linked to 
other causal representation such as directed graphs as discussed by Németh and Cameron (2013). 

665



 

Figure 7. FSS-OSS pressure change across system after ESDV2 ‘fails closed’ 

 

Figure 8. FSS-OSS flow (kg/s) across system after ESDV2 ‘fails closed’ 

4. Conclusions 

This work has shown that it is feasible to take component capability sets related to flowsheet equipment and 
represent them by three primary state spaces that can then be easily visualized. These state spaces can then 
be used by designers and operators to inform them of the implications of process component choices. This is 
particularly the case when failures occur that disrupt the functional state space through loss of component 
capabilities. 
The ability to augment traditional design tools such as process simulators and CAD tools with real-time 
visualizations of the capability, functional and operating state spaces can provide immediate insights into 
design decisions and would lead to concurrent engineering practices that would enhance design efficiencies 
and provide early indications of the failure scenarios within a design. The visualization capabilities can be 
enhanced to consider the role of latent capabilities within the design that can be activated to enhance 
resilience in the system against system failures and major disturbances on the system. These insights should 
help towards enhancement of process safety at both design and operational phases of the process life cycle. 

References 

Bunge M., 1977, Ontology 1: The Furniture of the World. Vol. 3, Treatise on Basic Philosophy, Springer 
Netherlands. 

Seligmann B. J., Németh E., Hangos K. M., Cameron I. T., 2012, A blended hazard identification methodology 
to support process diagnosis, Journal of Loss Prevention in the Process Industries, 25(4), 746-759. DOI: 
10.1016/j.jlp.2012.04.012 

Németh E., Cameron I. T., 2013, Cause-implication diagrams for process systems: their generation, utility, and 
importance, Chemical Engineering Transactions, 31, 193-198. DOI: 10.3303/CET1331033 

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