Flow Modelling Across Faults

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Flow Modelling Across Faults SPE YP Technical Showcase Event 28 May 2013 Wahab Ahmed

Agenda 

Faults-Introduction



Fault Pattern



Fault Zone Properties –

Fault Permeability, Fault Thickness



Fault Transmissibility Multiplier Calculation



Fault Threshold Pressure –



Constant Fault Threshold Pressure , Variable Fault Threshold Pressure

Wrap-up –

Conclusions , References

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Fault 

Fault

Fault is a fracture, fissure or joint along which there have been relative displacement



Normal Faults

Normal fault is one in which the hanging wall falls down relative to the foot wall due to tensional stress



Reverse Faults

Reverse fault is one in which the hanging wall moves up relative to the foot wall due to compression

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Fault Pattern 

Parallel Fault or Bookshelf Model



Graben or Rift Fault

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North Sea Examples

(After Glennie, 1990) Thistle Field (from Williams and Milne,1991)

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Fault Zone

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Factors affecting Fault zone seal 

Fault zone architecture



Burial and Fault History and Juxtaposition of lithologies



Local facies



Pressure difference across fault



Reservoir fluid type and saturation

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Fault Zone Properties 

Fault Permeability

-Vshale vs Permeability relationship , Explicit ,SGR & Vclay methods (Manzocchi ,Sperrevik methods) 

Fault Thickness - Estimation from Fault Displacement

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Manzocchi Algorithm

D=Fault Displacement in m SGR=Shale Gouge Ratio K=Permeability in mD

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Sperrevik Algorithm Fault rock clay content (Vf) Maximum rock burial depth and (Zmax) Depth at time of deformation (Zf)

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Fault Thickness 

Displacement to Thickness Ratio

Two Algorithms tf= D/66 (Hull, 1988) tf=D/170 (Walsh,1998)

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Transmissibility Calculation

Transmissibility in X direction

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Fault Transmissibility Multiplier

L1

L2 Trans12

K1 tf K2 KTrans1-f 1

Kf

Transf-2 Transfault

K2

L1

L2

Assumptions: 

Intersection Area=1



No Grid block dips



1D single phase flow

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Field Case Study-Gulfaks 

5 Injectors in the west flank



5 Producers in the eastern flank



Injectors Control=Voidage replacement

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Effect of Fault Permeability on Fault Transmissibility multiplier Fault Permeability=10mD

Fault Permeability=1mD

Fault Permeability=100mD

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Effect of Fault Permeability on Flow Simulation

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Fault Transmissibility multiplier (Manzocchi Vs Sperrevick Correlation) Sperrevik method for Fault Permeability from SGR

Manzocchi Method for Fault Permeability from SGR

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Manzocchi Vs Sperrevick Correlation effect on Flow Simulation

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Effect of Fault Thickness on Fault Transmissibility multiplier Thickness to Displacement Ratio=170 Walsh Correlation

Thickness to Displacement Ratio=66 Hull’s Correlation

Thickness to Displacement Ratio=100

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Effect of Fault Thickness on Flow Simulation

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Fault Threshold Pressure Pressure=2500 psi

Pressure=2550 psi

Fault Threshold Pressure=100 psi No Flow 



Constant Fault Threshold Pressure - same value across the fault Variable Fault Threshold Pressure - different values for each cell connection across fault 21

Variable Fault Threshold Pressure

Vshale

Pressure (bar)

0

0

0.5

100

1

200

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Transmissibility Multiplier for Fault Threshold Pressure Cases Fault Permeability=1 mD

Fault Permeability=10 mD

Fault Thickness to Displacement Ratio=66 23

Constant vs Variable Fault Threshold Pressure -1mD Case 



Early breakthrough for Variable Fault Threshold Pressure Case & gentle increase in water cut Difference in water cut is significant for lower values of Fault Permeability

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Constant vs Variable Fault Threshold Pressure -10mD Case

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Conclusion 



Fault zone Thickness and Permeability are important for flow modelling

Fault Permeability affects are more significant between 1mD and 10 mD – Manzocchi algorithm gives low values of Fault Transmissibility multiplier as compare to Sperrevik



Fault Displacement is used to predict fault thickness – Fault Transmissibility will be higher for higher value of Fault Displacement to Thickness ratio



Fault Threshold pressure prevents the flow across fault interface – Early water breakthrough and gentle increase will be observed for variable fault threshold pressure case as compare to constant fault threshold pressure 26

References 1. Manzocchi, T. et al. (1999). “Fault transmissibility multipliers for flow simulation models”, Petroleum Geoscience, Vol. 5, pp. 53-63 2. Sperrevik, S. et al. (2002). “Empirical estimation of fault rock properties”, In: Hydrocarbon Seal Quantification (edited by Koestler, A.G and Hunsdale, R), NPF Special Publication 11, pp 109 -125. 3. Fisher, Q.J. et al. (Jan. 2006). ”Microstructural and Petrophysical Properties of Fault Rocks from the Snorre Field”, Rock Deformation Research Group, report 9454 4. Jonas Cordazzo , Clovis Raimundo Maliska , Antonio Fabio Carvalho da Silva Interblock Transmissibility Calculation Analysis for Petroleum Reservoir Simulation Department of Mechanical Engineering, Federal University of Santa Catarina . Brazil , pp 5 -7 5. Reservoir Structure Course material of IPE Heriot Watt University by Dr J Couple

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Questions