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Quality Assuring the Petrophysical
Evaluation of Thin Beds
London Petrophysical Society
21 September 2017
Paul F. Worthington
Park Royd P&P (England) Ltd
Ascot, UK
Structure
Introduction
Scenario Approach
Volumetric Analysis
Field Examples
Conclusions
Introduction
Thin beds are one of the major causes of by-passed
pay in the world today
A thin bed is one that is not sufficiently thick to be
fully resolved by a logging tool
Tool Resolution
Introduction
Historically, thin bed evaluation has drawn upon
forward modelling or the signal enhancement of
standard logs
An alternative philosophy uses a coarse-resolution
three-dimensional induction tool plus an electrical
micro-imager to calculate the bed properties
– Simplifying assumptions
– Resistivity only
Porosity problem remains
Scenarios for Thin-bed Evaluation
Scenario Bed range
(cm)
Nature of Constituent Beds
Resolvable Detectable Pluggable Identifiable
A 10 - 60
B 3 - 10
C 1 - 3
D 0.1 - 1
E 0.1 - 60
Yes SomeNo
Scenario Approach
Separate the problem into parts
– Each scenario relates to a range of bed thickness
Bed thickness has to be considered relative to
– Tool resolution
– Tool availability
We focus on the porosity problem in cases where
– Core data exist in a key well
– Thin beds are not pluggable
– Layer boundaries cannot be discerned through
downhole measurement
Volumetric Analysis
Three references
Thomas & Stieber (1975)
Total porosity system
Ruhovets & Fertl (1982)
Effective porosity system
Juhasz (1986)
Total and effective
porosity systems
Volumetric Analysis
tsd = (t - (Vshl tsh)) / (1 - Vshl)
Vshl = (t - max + Vsh (1 - tsh)) / (1 - max)
Juhasz - total porosity system -
laminated sand/shale sequence
Volumetric Analysis
Avoid over-prediction of interstitial clay-mineral
volume fraction
– Correction factors
• from shale volume fraction (Vsh) to clay-mineral volume
fraction (Vcm)
• Any “shale” indicator
• Specifically for the estimation of porosity
Do not take max as the highest porosity seen in a
database
– It is a mathematically-derived quantity required
for closure
Bed thicknesses: 3.0 – 9.5 cm
All beds are assumed to be isotropic
Laminated shale fraction from electrical micro-
imaging log
BVH increases by 65% on application of thin-bed
analysis
A Scenario D approach (ignoring core and micro-
imaging data) does not produce matching results
– Disparity is attributed to requirement to estimate
maximum attainable porosity max
Example 1 – Scenario B D
Example 1 – Scenario B D
Input Parameter Output
Parameter
Scenario
B
Scenario
D
Bed thicknesses (cm) 3.0 – 9.5 t 0.200 0.200
c 0.231
Vcm / Vsh 0.714 Vshl 0.341 0.458
Rshl (m) 1.25 Vcm 0.571 0.571
Rv (m) 7.52 Vcmd 0.230 0.113
Rh (m) 3.00 Rtsd (m) 10.8
Rw (m) 0.08 tsd 0.231 0.251
m 1.83 Swsd 0.259
n 1.64 EHTsd (m) 0.113
No electrical micro-imager,
no multicomponent induction,
no whole core, est. max = 0.43
Bed thicknesses: 0.3 – 0.9 cm
All beds are assumed to be isotropic
Laminated shale fraction from multicomponent
induction log
BVH increases fourfold on application of thin-bed
analysis
An indirect approach (ignoring multicomponent
induction data) does not produce matching results
– Disparity is attributed to requirement to estimate
maximum attainable porosity max
Example 2 – Scenario D
Example 2 – Scenario D
Input Parameter Output
Parameter
Direct
method
Indirect
method
Bed thicknesses (cm) 0.3 – 0.9 t 0.189 0.189
b (g/cc) 2.35 Vsh 0.618
Vcm / Vsh 0.822 Vshl 0.436 0.579
Rshl (m) 1.05 Vcm 0.586
Rv (m) 3.33 Vcmd 0.150
Rh (m) 1.90 Rtsd (m) 5.09
Rw (m) 0.065 tsd 0.261 0.317
M 1.90 Swsd 0.369
N 1.81 EHTsd (m) 0.093
No electrical micro-imager,
no multicomponent induction,
no whole core , max = 0.40
Conclusions
We have assumed thin isotropic beds within a sand-
shale sequence
We have partitioned the thin-bed problem using
discrete scenarios
– based on specified ranges of bed thickness
– further distinguished by available data
For each scenario a workflow has evolved for
formation evaluation
The scenarios become more challenged as beds get
thinner
Conclusions
Where requisite data do not exist, a lower-level
scenario has to be adopted
– with greater uncertainty
The use of compositional equations in the
evaluation of porosity needs to be calibrated
– otherwise closure is not achievable
The overestimation of clay-mineral content by shale
indicators has been corrected
– but this requires some core porosity data from
the same depositional system
Conclusions
The approach has been set in terms of optimal data
acquisition
– sufficient to do the job
More complex layerings can be accommodated
– carbonate stringers
– anisotropic sand and shale
But these will require additional data
– e.g. nuclear magnetic resonance
Benefits are improved evaluations of hydrocarbons
in place and thence petroleum reserves
Epithet
80% of the subject matter of this presentation is
available in OnePetro as:
Majid, A.A. & Worthington, P.F. 2012.
Definitive petrophysical evaluation of thin
hydrocarbon reservoir sequences.
SPE Reservoir Evaluation & Engineering 15(5),
584-595. [October 2012]
This is the peer-reviewed version and not the 2011
OMC conference preprint, which is also in OnePetro