The impact of gradational contact at
the reservoir-seal interface on
geological CO2 storage capacity and
security
Onoja, M & Shariatipour, SM
Author post-print (accepted) deposited by Coventry University’s Repository
Original citation & hyperlink:
Onoja, M & Shariatipour, SM 2018, 'The impact of gradational contact at the
reservoir-seal interface on geological CO2 storage capacity and
security' International Journal of Greenhouse Gas Control, vol 72, pp. 1-13
https://dx.doi.org/10.1016/J.IJGGC.2018.03.007
DOI
ISSN
10.1016/J.IJGGC.2018.03.007
1750-5836
Publisher: Elsevier
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it.
The Impact of Gradational Contact at the Reservoir-Seal Interface on
Geological CO2 Storage Capacity and Security
Michael U. Onojaa*, Seyed M. Shariatipoura
a
Centre for Flow Measurement and Fluid Mechanics, Maudslay House, Coventry
University. CV1 2NL. Coventry, United Kingdom.
* Corresponding author: onojau@coventry.ac.uk
1
1
Abstract
2
The implementation of CO2 storage in sub-surface sedimentary formations can
3
involve decision making using relevant numerical modelling. These models are often
4
represented by 2D or 3D grids that show an abrupt boundary between the reservoir
5
and the seal lithologies. However, in an actual geological formation, an abrupt contact
6
does not always exist at the interface between distinct clastic lithologies such as
7
sandstone and shale. This article presents a numerical investigation of the effect of
8
sediment-size variation on CO2 transport processes in saline aquifers. Using the
9
Triassic Bunter Sandstone Formation (BSF) of the Southern North Sea (SNS), this
10
study investigates the impact a gradation change at the reservoir-seal interface on CO2
11
sequestration. This is of great interest due to the importance of enhanced geological
12
detail in reservoir models used to predict CO2 plume migration and the integrity of
13
trapping mechanisms within the storage formation. The simplified strategy was to
14
apply the Van Genutchen formulation to establish constitutive relationships for pore
15
geometric properties, which include capillary pressure (Pc) and relative permeability
16
(kr), as a function of brine saturation in the porous media. The results show that the
17
existence of sediment gradation at the reservoir-seal interface and within the reservoir
18
has an important effect on CO2 migration and pressure diffusion in the formation. The
19
modelling exercise shows that these features can lead to an increase in residual gas
20
trapping in the reservoir and localised pore pressures at the caprock’s injection point.
21
22
Keywords:
23
24
CO2 Sequestration; Capillary Pressure; Relative Permeability; Physical Trapping;
Clastic Sediments.
25
26
27
2
28
1.
Introduction
29
The geological storage of carbon dioxide (CO2) serves as an option to sequester CO2
30
emissions from the atmosphere. Carbon Capture and Storage (CCS) is a three-step
31
process that involves CO2 capture, its transport, and subsequent underground storage.
32
It was inspired by the utilisation of CO2 in enhanced oil or gas recovery (EOR or
33
EGR) which offers potential economic gain from the increased production of
34
hydrocarbons (Bondor, 1992; Martin and Taber, 1992; Kovscek and Cakici, 2005;
35
Grigg, 2005; Gozalpour et al., 2005). Various studies on this approach, duly
36
summarised in the Intergovernmental Panel on Climate Change (IPCC) special report
37
on carbon capture and storage, have elaborated on the feasibility of mitigating the
38
adverse effects of this greenhouse gas while enhancing the recovery of fossil fuels for
39
future energy production (IPCC, 2005). The report outlines sedimentary rocks as
40
naturally ideal media for geologic CO2 sequestration (GCS), and deep saline aquifers
41
as subsurface formations which possess the largest storage capacity. One critical issue
42
in GCS, however, is demonstrating the long-term safety and security of subsurface
43
CO2 storage. This entails assessing the potential for CO2 leakage from deep
44
formations into shallow groundwater aquifer zones (Zheng et al., 2013; Lawter et al.,
45
2017) as well as any possibility of injection-induced seismicity (Nicol et al., 2011;
46
Dempsey et al., 2014). Undoubtedly, this has necessitated a broad scientific approach
47
that elucidates the geological processes influencing the estimation of CO2 storage
48
capacity and the integrity of caprocks overlying the storage aquifers (Bachu, 2015).
49
This approach usually involves the use of numerical models which incorporate
50
reservoir parameters such as porosity, permeability, and saturation functions to solve
51
the governing equations for subsurface fluid flow and transport. The models simulate
52
complex geological processes which aid in the design of injection schemes as well as
53
the assessment of storage capacities in target locations.
54
In petroleum literature, numerical models are commonly applied to the quantitative
55
analysis of heterogeneic effects in subsurface storage media (e.g. Pruess et al., 2003;
56
Doughty and Pruess, 2004; Kumar et al., 2005; Mo et al., 2005). A number of studies
57
using numerical models acknowledge the importance of two constitutive functions:
58
capillary pressure (Pc) and relative permeability (kr), on multiphase fluid flow during
59
GCS (Fleet et al., 2004; Ennis-King and Paterson, 2005; Juanes et al., 2006; Obi and
60
Blunt, 2006; Burton et al., 2009; Kopp et al., 2009). The main aim of this study is to
3
61
investigate the variability in transport and flow processes of injected CO2 resulting
62
from a gradational contact at the reservoir-seal interface and the gradual change in
63
clast-size within an aquifer. This variability is described in consitutive functions using
64
an empirical correlation that is based on grain-size variation i.e Van Genuchten’s
65
(1980) formulation. Through this contribution, we intend to encourage the
66
representation of heterogeneity in capillary pressure (Pc) and relative permeability (kr)
67
functions during reservoir simulation. To the best of our knowledge, no large-scale
68
study on GCS has incorporated such small-scale variability in both Pc– and kr–
69
saturation curves. Although Saadatpoor et al. (2010) and Meckel et al. (2015) showed
70
the influence of grain-scale heterogeneity on a reservoir-scale, their studies only
71
emphasised the influence of capillary heterogeneity on CO2 storage performance. The
72
former scaled the variability flow processes using intrinsic permeability heterogeneity
73
with a spatially constant capillary pressure curve, while the latter introduced capillary
74
heterogeneity by generating a capillary threshold pressure distribution based on
75
defined median grain size. In this study, we scale capillary heterogeneity from a
76
spatially constant threshold pressure and describe variation in relative permeability
77
curves through the grain size. The contribution of other effects such as the wettability
78
of the porous medium and the interfacial tension between the fluids in contact are not
79
considered here.
80
2.
81
Reservoir heterogeneity is dominated by depositional and diagenetic processes. The
82
sedimentology of the formation primarily influences the reservoir quality by
83
regulating its pore system (Pettijohn et al., 1972). This dictates the porosity and
84
permeability of the media and in turn controls the storage capacity and the efficiency
85
of physical trapping mechanisms during CO2 sequestration (Benson and Cole, 2008).
86
The physical and chemical changes that alter the characteristics of sediments after
87
deposition are reffered to as diagenesis. Volumetrically, siliciclastic rocks are the
88
most important variety of sedimentary rocks for GCS (Boggs, 2009). Clasts, i.e. rock
89
fragments, vary in size ranging from fine-textured clay and silt, to medium-textured
90
sand (see Table 1), up to coarse-textured pebble, cobble and boulder sized materials
91
(Wentworth, 1922). During transportation and deposition, the clasts are sorted
92
according to their average grain-size diameter and deposited in a geological sequence
93
of interleaved rocks known sedimentary beds or strata (Hiscott, 2003). Consequently,
Problem statement
4
94
sedimentary structures such as gradational contacts or graded beds are formed.
95
Gradational contact describes the gradual transition in the average size of deposited
96
clasts between conformable strata while graded bedding refers to the vertical
97
evolution of grain size in a stratum. These structures are reservoir-scale
98
heterogeneities which can influence injected CO2 flow patterns due to distinct
99
hydraulic conductivities arising from grain-scale heterogeneities. Grain-scale
100
heterogeneity dictates the capillary effect that governs two physical traps:
101
stratigraphic and residual gas trapping (Bjørlykke, 2010). This capillarity effect
102
emanates from fluid and interfacial physics at the pore-scale. Hence, the effective
103
hydraulic behaviour on any practical field-scale is dominated by the large scale
104
spatial-arrangement of small-scale variability (Krevor et al., 2015). The reader is
105
referred to Pettijohn (1957) and Haldorsen (1986) for the basics of sedimentary
106
structures and scales of heterogeneity, respectively.
Geological Size
Range (mm)
2.0 - 1.0
Sediment Texture
General term for Consolidated Rock
Very coarse sand
1.0 - 0.5
Coarse sand
0.5 - 0.25
Medium sand
0.25 - 0.125
Fine sand
0.125 - 0.0625
Very fine sand
0.0625 - 0.0313
Coarse silt
0.0313 - 0.0156
Medium silt
0.0156 - 0.0078
Fine silt
0.0078 - 0.0039
Very fine silt
Sandstone
Siltstone
Mudstone
(Shale)
< 0.0039
Clay
Claystone
Table 1: The Wentworth scale for clastic sediments (Wentworth, 1922)
107
108
2.1
The reservoir-seal interface
109
The lithostratigraphic units of many generic reservoir models are usually interpreted
110
from wireline logs of representative geologies, such as the Gamma Ray (GR) tool
111
(Doveton, 1991; Darling, 2005). However, the GR log may be considered to fall short
112
of its capabilities when distinguishing between types of mudstones, i.e. siltstone and
113
claystone. This is because the primary radioactive isotopes in rocks, i.e. potassium,
114
thorium and uranium, are more common in clay minerals than in sand and silt
115
(Bigelow, 1992), hence the GR log is often used as a measure of shale content
116
(Katahara, 1995; Fabricius et al., 2003; Nazeer et al., 2016). Since clay distribution
5
117
alone cannot account for the fine-grained sediments in an actual reservoir, it is
118
important to assess the impact of sediment-size gradation on GCS, particularly at the
119
reservoir-seal interface. Most models that simulate CO2 plume distribution are built
120
under the assumption that the stratigraphic contact between the reservoir rock and the
121
caprock is abrupt (i.e. a sudden distinctive change in the lithology). This may not
122
always be the case in geological formations because the bedding contact between
123
sandstone and mudstone can show a gradation in particle sizes at the interface. For
124
example, the Sherwood Sandstone Group shows an upward grading of sediments from
125
coarse sandstones to siltstones, and then to the Mercia Mudstone Group (Benton et
126
al., 2002; Newell 2017). Nevertheless, a number of contemporary studies performed
127
using reservoir models have included geological details such as top-surface
128
morphologies and transition zone heterogeneities (e.g. Shariatipour et al., 2014; 2016;
129
Newell and Shariatipour, 2016). These studies demonstrated that such geological
130
detail can affect various trapping mechanisms within the reservoir as well as influence
131
CO2 plume migration, the estimation of storage capacity, and the volume of the
132
aquifer. Generally, increasing the level of detail in geological modeling for simulation
133
models is essential for producing meaningful and accurate results (Van De Graaff and
134
Ealey, 1989).
135
2.2
136
Due to the scarcity of experimental data on Pc and kr, the common practice in
137
reservoir modelling is the use of empirical formulations to describe flow
138
characteristics. Many GCS studies have adopted the constitutive functions by either
139
Brooks and Corey (1966) or Van Genuchten (1980) to describe the capillary pressure
140
(Pc), saturation (S), and relative permeability (kr) relationship (Pc–S–kr relationship) in
141
the flow model (e.g. Class et al., 2009; Oldenburg et al., 2001; Cameron and
142
Durlofsky, 2012). A comprehensive review by Oostrom et al. (2016) highlights the
143
van Genuchten, VG, function to be much more efficient in describing the dynamic
144
fluid model in GCS. This is usually coupled to Mualem’s (1976) and Corey’s (1954)
145
formulations to give the integrated Van Genutchten-Mualem-Corey (VGMC) flow
146
model for Pc–S–kr relationships:
147
148
Describing flow characteristics in reservoir models
𝑆𝑤 + 𝑆𝑛𝑤 = 1
𝑆𝑒𝑤 =
(1)
𝑆𝑤 − 𝑆𝑤,𝑚𝑖𝑛
𝑆𝑤,𝑚𝑎𝑥 − 𝑆𝑤,𝑚𝑖𝑛
6
(2)
−
𝑃𝑐 = 𝑃𝑒 [(𝑆𝑒𝑤 )
149
1
1
𝑚
− 1]
1
𝑚
(3)
𝑘𝑟𝑤 = (𝑆𝑒𝑤 )2 [1 − (1 − (𝑆𝑒𝑤 )
150
𝑚
1⁄
𝑚) ]
2
𝑘𝑟𝑛𝑤 = (1 − 𝑆𝑒𝑤 )2 (1 − (𝑆𝑒𝑤 )2 )
151
(4)
(5)
152
where Sew is the effective wetting fluid saturation; Sw,min and Sw,max represent the
153
minimum and maximum saturation for the wetting fluid which occurs for a given
154
problem at an actual wetting fluid saturation of Sw; Snw is the saturation of the non-
155
wetting fluid; Pe is the capillary entry pressure; krw and krnw are relative permeability
156
values for the wetting fluid and the non-wetting fluid respectively, at an effective
157
wetting fluid saturation, Sew; n and m correspond to pore geometry/model parameters
158
related by the assumption that 𝑚 = 1 − 1⁄𝑛.
159
A large number of numerical models that have used this flow model assumed a
160
generic parameter value of 0.457 for the pore size index, m (Oostrom et al., 2016).
161
According to Birkholzer et al. (2009) this value is typical of sedimentary formations
162
suitable for CO2 storage. A vast number of studies have used a constant value for the
163
fitting parameter, m, to generate Pc–S–kr relationships irrespective of the geological
164
heterogeneity of the model (e.g. Gor et al., 2013; Zhou et al., 2010; Al-Khdheeawi et
165
al., 2017; Espinet et al., 2013). Utilising a fixed value to represent the pore size
166
distribution index of an entire storage formation fails to account for the differences in
167
the average pore size of rock lithologies within strata in the reservoir. Additionally,
168
predictions from such reservoir models may fall short of precision because the
169
accuracy of flow processes in a porous medium is highly dependent on the description
170
of the Pc–S–kr relationship (Mori et al., 2015).
171
3.
172
In this paper, we employ Carsel and Parrish’s (1988) descriptive statistics for the pore
173
size distribution index, n, and introduce a parameterisation scheme that describes the
174
fluid flow behaviour of various clastic rocks (Table 2):
Methodology
General term
for consolidated
rock
Sedimentary components (%)
Sand
Silt
Clay
7
Van
Genuchten
Parameter
(n)
Term for
Consolidated
Rock as used in
this study
Sandstone
> 85
Silt + (1.5*Clay) < 15
2.68
Coarse Sandstone
Sandstone
70 – 90
Silt + (1.5*Clay) ≥ 15; and
Silt + (2*Clay) < 30
2.28
Sandstone
Sandstone
> 52
Silt + (2*Clay) ≥ 30; if
a) Clay is between 7 – 20,
or
b) Clay < 7, and Silt < 50
1.89
Silty Sandstone
Sandstone
< 52
28 - 50
7 - 27
1.56
Muddy Sandstone
Sandstone
> 45
< 28
20 - 35
1.48
Clayey Sandstone
Mudstone
20 – 50
50 - 80
12 - 27
1.41
Sandy Siltstone
Mudstone
< 20
> 80
< 12
1.37
Siltstone
Mudstone
< 45
< 40
> 40
1.09
Claystone
175
176
Table 2: Sedimentary components and the terminology for clastic sedimentary rocks (USDA,
1987; Folk, 1974), along with the associated VG parameter from Carsel and Parrish (1988).
177
3.1.
178
The study is patterned after the Triassic Bunter Sandstone Formation (BSF) of the
179
Southern North Sea (SNS) in the United Kingdom (UK) sector (Williams et al.,
180
2013). The BSF is a reservoir unit composed of predominantly medium- to coarse-
181
grained sandstone units of metre-scale upward coarsening regime interbedded with
182
fine-grained sediments (Rhys, 1974). It is described as the major gas producing
183
reservoir in the SNS. Most of the BSF is filled with saline water and considered to
184
have significant CO2 storage potential. In the UK sector, it overlies the Triassic
185
Bunter shale formation and is sealed by mudstones and evaporites of the upper
186
Triassic Haisborugh Group (Brook et al., 2003). Structurally, Bunter sandstones
187
contain several periclines commonly referred to as Bunter domes (Williams et al.,
188
2013). Based on previous investigations and studies, one such Bunter dome in the UK
189
sector was recently identified by the Energy Technologies Institute’s UK CO2 Storage
190
Appraisal Project (UKSAP) as a promising candidate for CO2 storage (James et al.,
191
2016). This dome is penetrated by Well 44/26-01, a deep exploration well completed
192
in 1968 with interpreted log data identifying the strata within the dome (see Fig. 1).
193
The BSF within this dome is interpreted as having five intra-reservoir sandstone zones
194
possessing interbedded shale and cemented sandstone layers. A detailed description of
195
the sedimentology and lithostratigraphy of this dome, hereafter referred to as Bunter
196
aquifer, was given by Williams et al. (2013). Here we present only a brief overview
197
of Bunter aquifer in order to justify the lithological modelling approach used to
Model Development
8
198
investigate the multiphase fluid flow regime resulting from pore scale variation in the
199
reservoir-seal interface. The reservoir-seal interface is assumed to be Zone 1 (Fig. 1)
200
and henceforth referred to as the transition zone. Because this is a generic study of
201
CO2 storage in deep sandstone aquifers overlain by mudstones, rather than the study
202
of a specific aquifer, the goal was to select representative characteristics for the
203
aquifer as a base case for systematic parameter study. As such, the thickness and other
204
aquifer characteristics were based on the log data from Well 44/26-01.
205
206
207
Fig. 1: Lithostratighraphical correlation of Bunter Well 44/26-01 from logging data (Williams
et al., 2013).
9
208
3.2
209
A simplified 3D static geological model with an areal size of 2 km x 2 km and a
210
thickness of 300 m was developed and discretised into a total of 544,000 active cells
211
(ni = 80, nj = 80, nk = 85) using Schlumberger’s PETREL software (Schlumberger,
212
2016). Although the study is based on a dome-like structure, the geological layering
213
in this model is horizontal (Fig. 2).
214
Numerical Modelling
Zones
Top depth (m)
Number of layers
Rot Halite
1200
4
Claystone
1225
12
R.Zone 1
1237
8
R.Zone 2
1245
10
R.Zone 3
1264
15
R.Zone 4
1350
22
R.Zone 5
1438
5
Base Shale
1455
9
Table 3: Vertical grid discretisation for the modelling domain.
215
216
Fig. 2: Reservoir model used for ECLIPSE simulations.
217
An average horizontal permeability (Kh) value of 6.5 x 10-3 mD was assigned to the
218
top and base seal lithologies, after Spain and Conrad (1997), while the average Kh for
10
219
the reservoir was assumed to be 233 mD. The top seal capacities of the Solling
220
Claystone and the Rot Halite were assigned porosity values of 4% and 1%
221
respectively. This was based on the range of porosity values in the Solling, Rot, and
222
Muschelkalk caprocks above the BSF in the southern Dutch North Sea (Spain and
223
Conrad, 1997). The base seal and reservoir formation in the model were assigned
224
average porosity values of 4% and 22% respectively. Permeability anisotropy was
225
assumed to be 0.3 since the average vertical permeabilities of the Bunter sandstone
226
are reported to be typically some 30 % lower than the horizontal permeabilities (Noy
227
et al., 2012). Pore fluid in the domain was modelled under an isothermal condition of
228
42ºC and an initial pressure of 12 MPa with a brine pore fluid gradient of 10.7
229
MPa/km. This implies a pore fluid density of 1.09 g/cc at a salinity of 133,000 ppm.
230
Pressure control consideration for dynamic modelling is 75% of a lithostatic pressure
231
gradient of 22.5 MPa/km (after Noy et al., 2012).
232
Pc-S-kr relationships were generated under the assumption of a strongly water wet
233
system with a CO2/brine interfacial tension of 30 mN/m, following published results
234
by Hebach et al. (2002), Chiquet et al. (2007), and Perrin and Benson (2010).
235
Draining and imbibition curves were included allowing for the residual trapping of
236
CO2 to be modelled (Fig 3):
237
238
239
Fig. 3: Pc-S-kr functions for (a) drainage relative permeability, (b) drainage capillary pressure,
(c) imbibition relative permeability, and (d) imbibition capillary pressure
11
240
CO2 saturation end points for the reservoir and seal were based on published results
241
for the Captain formation in the North Sea Goldeneye Field (Shell, 2011) and the
242
Colorado Shale (Bennion and Bachu, 2008) respectively. The capillary displacement
243
pressure of shale was assumed to be 4.7 MPa after Spain and Conrad’s (1997)
244
experimental investigation on the Solling Claystone in the southern Dutch North Sea.
245
In the absence of closely related data, the maximum pore throat size in the reservoir
246
was assumed to be 37 microns. This value falls within the range of dominant pore
247
throat sizes of Permo-Triassic sandstones in the United Kingdom (Bloomfield et al.,
248
2001). Numerical simulations were conducted using ECLIPSE E300 (Schlumberger,
249
2015) which adopts Darcy’s law description for immiscible two-phase flows in
250
porous media (Bear, 1972). This study assumes no conductive faults, nor cemented
251
sand layers, interbedded shale or leaky wellbores in the formation.
252
3.3
253
Simulation studies were conducted in aquifer systems idealised as “closed” and
254
“open” to observe the impact of the two sedimentary structures identified in Section 1
255
on CO2 storage. The closed aquifer system was identified as Aquifer-1 while the open
256
aquifer system was identified as Aquifer-2. The concept of graded bedding was
257
investigated using normal grading where the strata coarsens downwards, and inverse
258
grading where the strata coarsens upwards. Five reservoir lithologies were identified
259
from Table 2. In the order of decreasing particle size, these reservoir lithologies are
260
sandstone, silty sandstone, muddy sandstone, clayey sandstone, and sandy siltstone,
261
respectively. The spatial porosity value of 22% remained the same for all the reservoir
262
lithologies. However, permeability data for the varying lithologies were extrapolated
263
from rock permeability values used in UKSAP’s 2016 report for the intra-reservoir
264
zones (James et al., 2016):
265
266
Sensitivity Design
Rock lithology
Rock permeability [mD]
Sandstone (S)
233
Silty Sandstone (SiS)
223
Muddy Sandstone (MS)
219
Clayey Sandstone (CS)
195
Sandy Siltstone (SSi)
162
Table 4: Permeability data for reservoir rock lithologies
The plot of the sensitivity study was outlined in three phases:
12
267
Phase I focused on the effect of varying the dynamic properties of the rock
268
geometry (i.e. the Pc–S–kr functions) in the reservoir model at a constant
269
permeability within the reservoir.
270
Phase II focused on the effect of varying the permeability values and the Pc–
271
S–kr functions in the reservoir. Simulation cases in this phase were identified
272
by the suffix “A”.
273
Phase III cases, identified by the suffix “B”, were modelled with variable
274
permeability values and a single Pc–S–kr function within the reservoir. This
275
was to compare, in magnitude, the “stand-alone” effect of Pc–S–kr functions
276
over intrinsic permeability functions in the modelled domain.
277
For this study, permeability and porosity data are henceforth regarded as the static
278
functions while Pc–S–kr functions are regarded as the dynamic functions. The base
279
case for the simulation regarded all five reservoir zones as sandstone and was
280
identified as CASE 1. Sensitivity cases were then labelled according to the description
281
in Table 5:
Reservoir
Zone
Case
1
2
3
4
5
1
Sandstone
Sandstone
Sandstone
Sandstone
Sandstone
2
Sandstone
Silty
Sandstone
Clayey
Sandstone
Muddy
Sandstone
Muddy
Sandstone
Clayey
Sandstone
Silty
Sandstone
Sandy
Siltstone
3
4
5
6
7
282
Sandy
Sandstone
Siltstone
Silty
Sandstone
Muddy
Sandstone
Sandstone
Clayey
Sandstone
Sandy
Siltstone
Table 5: Pore geometric parameters for the reservoir simulation.
283
3.3.1
Aquifer-1
284
Aquifer-1 was confined vertically and laterally within the modelled domain (Fig 2)
285
and had a reservoir pore volume of 1.93 x 108 m3. This aquifer was used to investigate
286
the impact of gradational contact and graded bedding on the reservoir’s injectivity and
13
287
physical trapping mechanisms. In this aquifer, a numerical simulation was initiated at
288
an annual CO2 injection rate of 100,000 metric tonnes through an injection well
289
peforated in R.Zone 4 and 5. The sensitivity plots of Phase I, II and III were
290
investigated in this aquifer.
291
3.3.2 Aquifer-2
292
Aquifer-2 was confined in the vertical boundaries of the modelled domain but was
293
assumed to have lateral aquifer connection. This aquifer was used to investigate the
294
impact of gradational contact and graded bedding on overpressure at the reservoir-seal
295
interface. The concept of an open aquifer was introduced in the study because closed
296
aquifers do not communicate with other reservoirs, laterally, and as a result, may be
297
under- or over-pressured following the CO2 injection (Elewaut et al., 1996). For two-
298
phase flow in porous media, one important role the aqueous phase plays in affecting
299
the evolution of CO2 plume is that it serves as a pressure transmission medium within
300
the porous media (Pruess and Nordbotten, 2011). As a result, the ease with which the
301
migrating CO2 plume evacuates brine from the pore space will influence the pressure
302
evolution within the formation.
303
4.
Results and Discussion
304
4.1
Reservoir Injectivity
305
For the simulation of gas injection, CO2 plume was observed to rise vertically to the
306
superjacent impermeable barrier. This buoyant migration of the plume was due to the
307
density difference between the supercritical CO2 and brine. Simulation results for
308
reservoir injectivity for all three phases of the analysis showed an equivalence in CO2
309
injection with time for the first 13 years of injection before reaching the limiting field
310
pressure in the 14th year of injection (Fig. 4):
14
311
312
Fig. 4: CO2 injection rates for all sensitivity cases.
313
The illustrations in Fig. 4 show the importance of the Pc–S–kr functions on a
314
reservoir’s injectivity. Incorporating this dynamic relationship for heterogeneity at the
315
transition zone was a major influence on the reservoir injectivity as the pore fluid
316
pressure approached the well control pressure. For gradational contact at the
317
reservoir-seal interface, the rate of CO2 injection into the lower part of the reservoir
318
increases with the decrease in size of clastic sediments at the top of the reservoir. For
319
the graded reservoir, the rate of CO2 injection favors normal grading over reverse
320
grading. This can be seen from the 14th year of injection. The results indicate that the
321
relative permeability functions predominate over permeability and porosity data when
322
describing sedimentary heterogeneity. This is further emphasised in the comparison
323
between the total CO2 injected for all cases investigated. Fig. 5 shows neglible
324
differences in the total amount of CO2 injected between the base case and other
325
sensitivity cases at the end of simulation for Phase III as opposed to Phases I and II:
15
326
327
Fig. 5: Total volume of CO2 injected into the reservoir during Phase III analysis
328
At the end of the simulation, all cases that used the Pc–S–kr functions to describe
329
hetergeneity within the model allowed for more CO2 injection than the base case. In
330
Fig. 5, Cases 4 and 4A show the smallest margin in total CO2 injection and this
331
accounts for an additional 23,000 tonnes of CO2 being injected into the reservoir.
332
4.2
333
At the end of the injection period, the upward migration of CO2 plume was restrained
334
by the caprock layer in all the cases simulated. When graded bedding was
335
incorporated into the pore geometric analysis, the impact of the dynamic functions
336
followed the trend identified in Section 4.1 and amplified the supporting role of the
337
static parameter thereby decreasing the effective permeability to the non-wetting
338
phase. This was attributed to the impact of the irreducible aqueous phase on the
339
relative permeability to CO2 within the reservoir. Fig. 6 illustrates this impact based
340
on the VGMC-model (section 2.2) which described a constant KrCO2-S curve for all the
341
reservoir lithologies in this study:
Physical Trapping
16
342
343
344
Fig. 6: Relative permeability curves showing the value for kr(CO2) at the intercept of kr(brine) in
various reservoir lithologies
345
Fig. 6 shows a decreasing value of the relative permeability to CO2 at the intercept
346
between the non-wetting krnw-S curve and the variable wetting krw-S curves for the
347
reservoir rocks. This resulted in a lower degree of mobile CO2 in models that
348
incorporated smaller clasts within the reservoir, particularly at the transition zone. The
349
relative drag in plume movement within the constricting rock matrix led to an
350
increase in the local capillary trapping, a trapping mechanism resulting from intrinsic
351
capillary heterogeneity (Saadatpoor et al., 2010). This was duly represented by the
352
Pc–S relationships in the model and explains why the impact of the static parameter
353
on capillary trapping is not noticeable for the gradational changes investigated.
354
Retention of CO2 within the pore spaces is enhanced by the capillary forces acting at
355
the pore throats. Due to the larger distribution of the capillary processes, graded
356
bedding in the reservoir accounted for a higher degree of capillary trapping when the
357
static and dynamic parameters were integrated. Normally graded reservoirs were seen
358
to residually trap more CO2 than their inversely graded counterparts. This was
359
attributed to the gradual rise in the magnitude of capillary forces acting within
360
normally graded stratum, as opposed to the fall in magnitude for the inversely graded
361
stratum. Fig. 7 shows the quantification of CO2 trapping for all cases modelled in
362
Aquifer-1:
17
363
364
365
Fig. 7: a) Quantification of the physical trapping mechanisms and b) the total CO2 trapped, in
order of increasing total trapping from top to bottom, at the end of the injection period.
366
We observe in Fig. 7a that more gas is trapped residually as we proceed from the top,
367
Case 1, to the bottom, Case 3A, of the chart. The prominence of capillary trapping
368
within the reservoir serves to reduce the rate of CO2 spreading at the base of the
369
caprock, as well as increasing brine contact which is beneficial for CO2 dissolution
370
(Golding et al., 2011). This was noted through the lateral extent of plume migration
371
beneath the caprock for all simulated cases which followed the trend 1 > 4 > 2> 5 > 6
372
> 7 > 3 in the order Phase III > Phase I > Phase II. It suggests that the failure to
373
include a variance in the Pc–S–kr functions within the reservoir domain will lead to an
374
over estimation of bouyant drive to- and the gravity current at- the transition zone.
375
Following this observation, the open aquifer, i.e. Aquifer-2, became only an extension
376
of Phase II for an analysis on overpressure.
18
377
4.3
Pressure Evolution
378
To simulate the pressure evolution in the reservoir we first assumed an infinite lateral
379
communication at both ends of the modelled domain. This was undertaken to identify
380
which of the cases of gradational contact at the transition zone and gradation in the
381
reservoir would have the least impact on the structural integrity of the caprock. The
382
assumption of an infinite-acting aquifer was reasonably based on the vast lateral
383
extent of the Bunter sandstone rock unit which crops up onshore in Eastern England
384
as the Sherwood Sandstone Group (Brook et al., 2003). To assess the structrual
385
trapping mechanism, we quantified the volume of mobile CO2 lodged at the transition
386
zone after 20 years of CO2 injection (Fig. 8).
387
388
389
Fig. 8: Mobile CO2 in the reservoir-seal gradation zone of an aquifer with infinite lateral
communication.
390
As illustrated in section 4.2, the proportion of mobile CO2 at the transition zone is
391
influenced by the average particle-size within the rock matrix. This can be seen in a
392
comparison between Case 3A and 2A where a decreasing particle-size, from the base
393
to the top of Case 3A aquifer, progressively reduced the amount of free gas migrating
394
vertically. On the other hand, the increasing particle-size from the base to the top of
395
Case 2A propelled the vertical migration of CO2 plume. Following the observations in
396
Fig. 7, Case 3A and 7A were chosen for respective analysis on the impact of a graded
397
reservoir and a gradational contact at the reservoir-seal interface on the pressure
398
distribution in the domain. These cases showed the lowest magnitude of buoyant force
19
399
in the transition zone. Consequently, Case 1, 3A, and 7A were simulated in a version
400
of Aquifer-2 that reflected the probable pore volume of the Bunter Sandstone
401
Formation (Table 6).
Reservoir Formation Domain
Reservoir Pore Volume (rm3)
Reference
Aquifer-2 (Infinite-acting)
4.83E+14
Current study
Aquifer-2 (Bunter-estimation)
1.45E+12
Current study
Bunter Sandstone
1.52E+12
(Brook et al., 2003)
Bunter Sandstone
1.396 E+12
(Holloway et al., 2006)
402
Table 6: Provisional figures for reservoir pore volume used in this study
403
In the Bunter-estimate version of Aquifer-2, overpressure in the transition zone varied
404
directly with the mass of free CO2 in the strata. However, pressure evolution in the
405
overlying caprock did not show such correlation (Fig 9):
20
406
407
408
409
Fig. 9: Time plots showing: a) mobile CO2, b) pressure evolution, and c) CO2 dissolution
through the injection period; as well as d) the percentage volume of total dissolved and
mobile CO2 at the 20th year of injection, in the transition zone and the caprock respectively.
410
This disparity was accounted for by the measure of capillary trapped CO2 within each
411
strata. This is because in pore spaces, the incumbent aqueous phase will further
412
dissolve immobilised CO2 ganglia which can account for the pressure drop (Peters et
413
al., 2015). In other words, the degree of CO2 dissolution through residual trapping
414
within a strata serves to counteract the impact of mobile CO2 saturation on the pore
415
fluid pressure (Fig. 9d). Notwithstanding, the results suggest that pore pressure within
21
416
caprocks superjacent to graded strata at the reservoir/seal interface will show a lower
417
evolution profile in comparison to those that are further removed. This assumption,
418
however, is mostly valid for a field-scale determination of pressure evolution within
419
the caprock. Generally, higher capillary forces resulting from smaller pore geometry
420
tend to thicken the horizontal gravity current as a result of the reduced effective
421
permeability of the intruding CO2 (Fig. 10):
422
423
424
Fig. 10: A depiction of CO2 saturation in the 20th year of gas injection. NB: The curves X and
Y in Case1 illustrate the trend for gravity current in Case7A and Case3A respectively.
425
This usually results in a larger capillary fringe, i.e the region occupied by both phases.
426
With constant CO2 flux, the partial saturation of the non-wetting phase within the
427
capillary fringe increases and thicker horizontal currents contact a greater region of
428
the reservoir (Golding et al., 2013). This has an immediate effect on pressure
429
evolution within the contact area, as localised pore pressures increase while the
430
capillary forces within the matrix immobilise the CO2 ganglia. This phenomenon was
431
notably observed around the injection well within the reservoir and the caprock a t the
432
end of the numerical simulation (Fig. 11):
22
433
434
Fig. 11: 2D illustration of pressure change in the 20th year of CO2 injection.
435
The reasoning is that within a thinning pore matrix, higher capillary forces correlate to
436
a higher saturation of irreducible brine. The lateral continuity of such a matrix will
437
result in little or no path being available for the migrating CO2 plume to bypass the
438
constricted strata, hence the gravity current expands beneath it. A consequence is the
439
increased local capillary trapping of the gas within the strata, while the continous flux
440
of the buoyant CO2 plume results in CO2 permeability though the region of highest
441
gas concentration. The significance of a laterally continous reservoir-seal gradation
442
zone within a semi-finite aquifer is a higher overpressure around the injection point,
443
thus increasing the magnitude of pressure transmitted in the lower part of the caprock.
23
444
5
Summary and Conclusions
445
Numerical modelling of CO2 geosequestration is to a large extent dependent on the
446
quality of the quantitative knowledge of the geological descriptions that is used in the
447
construction of the reservoir model. Through relating fluid and transport processes to
448
primary sedimentary structures in siliciclastic formations, we employed numerical
449
simulation to probe the heterogeneic effects of dynamic flow parameters on CO2
450
storage performance. The results emphasise the significance of enhancing geological
451
details in reservoir-specific models. Specifically, we identified the importance of
452
modelling heterogeneity in the capillary pressure and relative permeability functions.
453
We have demonsrated that for CO2 storage in geological formations, the reservoir
454
injectivity and trapping mechanisms are sensitive to gradational changes at the
455
reservoir-seal interface as well as within the reservoir. Clast-size gradation from
456
coarser- to finer- sediments within the reservoir leads to more favorable capillary
457
trapping scenarios for CO2 sequestration, irrespective of the boundary conditions.
458
Gradation further increases the opportunity for CO2 dissolution during the injection
459
phase. Hence, the presence of these structures is vital in numerical models that
460
investigate the post-injection sequestration processes. We also showed that the
461
measure of how such sedimentary structures influence CO2 storage will not be
462
adequately determined if their description is based on the permeability and porosity
463
data alone. This is based on the observation that the relative permeability data
464
essentially dictates the effective permeability of fluids in a porous media.
465
The presence of a gradational contact at the reservoir-seal interface can also impact on
466
the storage security. The study showed that for an open aquifer, the lateral continuity
467
of such structures will likely reduce the field-scale overpressure in the caprock by
468
mitigating brine migration into the seal. However, this could also increase localised
469
pore pressures centred on the injection point within the caprock. Such scenarios can
470
lead to the hydraulic fracturing of structural traps within the injection point, especially
471
at the base of the trapping unit (Rozhko et al., 2007). Gradation at the reservoir-seal
472
interface may then be said to improve field-scale CO2 storage security while also
473
diminishing local-scale caprock integrity. This creates a paradoxical impact of
474
gradation on structural trap integrity and further goes to highlight the importance of
475
including such geological detail in numerical simulation studies.
24
476
In summary, we conclude that numerical models which disregard the sensitivity of
477
geological detail to multi-phase fluid transport processes will fail to sufficiently
478
account for CO2 storage performance. This is specifically with respect to various Pc–
479
S–kr relationships that may arise from the variance in pore geometry. We
480
acknowledge that the present results were obtained under the simplifying assumption
481
that variations in these constitutive functions only depend on the average grain size.
482
There is room for further investigation by considering the effects of additional factors
483
such as cemented sand layers, impermeable faults, leaky well bores, etc. on changes
484
in hydraulic properties. For instance, faults are important in compartmentalising
485
reservoirs and modifying the depositional continuity (Bouvier et al., 1989). The
486
increased
487
communication can influence how primary sedimentary structures define reservoir
488
flow processes. Also, subsequent diagenetically precipitated materials post particle
489
deposition can form tightly cemented flow barriers within the reservoir. Laterally
490
continous cementation not only constitutes barriers to flow but may also form
491
pressure seals which can impact on the reservoir injectivity (Bjørkum and
492
Walderhaug 1990). Hence, detailed sedimentary and petrographic analyses, including
493
the fine-scale examination of well data and reservoir-specific models, are required to
494
adequately predict CO2 storage performance. Our future work will include other
495
sedimentary features including faults with different transmissibility and cemented
496
sand in the model in order to study their influence on the results.
knowledge
of
fault-induced
reservoir
compartmentalisation
and
497
498
499
500
501
Acknowledgments
502
This material is based upon work supported by Coventry University’s Flow
503
Measurement and Fluid Mechanics Research Centre. The authors would like to thank
504
Schlumberger for the use of ECLIPSE and Petrel Software. We appreciate the
505
constructive input of Dr. Adrian Wood and Dr. Philip Costen, including valuable
506
comments from three anonymous reviewers.
25
507
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