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Article
Wellbore Cement Porosity Evolution in Response to Mineral Alteration During CO Flooding 2
Michael C. Cheshire, Andrew G. Stack, J. William (Bill) Carey, Lawrence M. Anovitz, Timothy R Prisk, and Jan Ilavsky Environ. Sci. Technol., Just Accepted Manuscript • DOI: 10.1021/acs.est.6b03290 • Publication Date (Web): 13 Dec 2016 Downloaded from http://pubs.acs.org on December 16, 2016
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Wellbore Cement Porosity Evolution in Response to
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Mineral Alteration During CO2 Flooding
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Michael C. Cheshire1*, Andrew G. Stack1, J. William Carey2, Lawrence M. Anovitz1, Timothy R.
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Prisk1, Jan Ilavsky3 1
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Oak Ridge National Laboratory, Oak Ridge, TN 37831
Los Alamos National Laboratory, Los Alamos, NM 87545 3
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Argonne National Laboratory, Argonne, IL 60439
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Abstract
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Mineral reactions during CO2 sequestration will change the pore-size distribution and pore-
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surface characteristics, complicating permeability and storage security predictions. In this paper,
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we report a small/wide angle scattering study of wellbore cement that has been exposed to
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carbon dioxide for three decades. We have constructed detailed contour maps that describe local
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porosity distributions and mineralogy of the sample, and relate these quantities to the carbon
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dioxide reaction front on the cement. We find that the initial bimodal distribution of pores in the
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cement, 1-2 nm and 10-20 nm, are affected differently during the course of carbonation
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reactions. Initial dissolution of cement phases occurs in the 10-20 nm pores, and leads to the
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development of new pore-spaces that are eventually sealed by CaCO3 precipitation, leading to a
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loss of gel and capillary nanopores, smoother pore surfaces, and reduced porosity. This suggests
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that during extensive carbonation of wellbore cement, the cement becomes less permeable due to
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carbonate mineral precipitation within the pore space. Additionally, the loss of gel and capillary
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nanoporosities will reduce the cement reactivity to CO2 due to reactive surface area loss. This
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work demonstrates the importance of understanding not just changes in total porosity, but how
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the distribution of porosity evolves with reaction that affects permeability.
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Introduction
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Porous media are the principal host for any subsurface fluid and are, therefore, the main sites
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for geochemical reactions associated with CO2-sequestration. How geochemical reactions and
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their kinetics affect these media has been the subject of considerable research, particularly with
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respect to potential mineral trapping of CO2.1 Recent work has considered potential pore-size
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dependencies of geochemical reactions.2,3 If pore-size dependent geochemical reactions occur,
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they could have significant impact on long-term security through changes to permeability and
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sealing capacity in the subsurface CO2 storage complex.4,5,6,7 While it may be expected local
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changes in porosity due to dissolution and carbonate or other mineral precipitation may
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increase/reduce permeability4,5, pore-size dependent reactions may affect permeability in
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unforeseen ways since functions describing permeability have a non-linear dependence on pore
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size.6,7 A complicating factor is that large permeability variations (up to five orders of
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magnitude) are observed in rocks with similar porosities.8 This natural variability in the starting
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material makes reactive transport models difficult to implement, because permeability cannot be
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determined on the basis of porosity alone.7 Complicating permeability calculations of porous
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media are the tortuosity and constrictive parameters.9,10,11 Tortuosity is defined as ratio of the
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flow length without porous media versus path length in porous media.9,10,11 Constrictivity, also
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known as bottleneck effect, describes the variable openness of the flow path in a natural porous
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media.9,10,11 Therefore, changes in the interfacial regions within the pore-spaces have direct
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impact on the tortuosity, constrictivity, and subsequently, permeability. Furthermore, given the
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large uncertainty in the initial permeability, coupled to pore structure alterations (i.e., changes to
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porosity, pore-size distribution, tortuosity, and constrictivity), predicting permeability evolution
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in response to anthropogenic perturbation becomes problematic.
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In this study, we investigate detailed changes in porosity as a function of pore-size that occurs
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in a field sample of wellbore cement exposed to CO2 during CO2-enhanced oil recovery.
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Wellbore cement integrity is a major concern for CO2 sequestration operations as the cement is a
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key element of the hydrodynamic sealing system, and thus CO2-reacted cement represents a
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potential leakage pathway.12,13 In addition to their intrinsic importance in establishing zonal
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isolation in wells, ordinary portlandite cements are an excellent analogue for natural nano-porous
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geological materials containing phases that with a high degree of reactivity permit more efficient
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experimental observations. Examples of potential CO2 storage materials with reactive phases
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include some caprocks14,15, volcanic sediments such as the Nagaoka injection site16, and basalts
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present at Big Sky17 and Carbfix.18,19
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The wellbore cement investigated here was recovered from a CO2 injection well located in the
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SACROC unit in West Texas.20 The well was a producer for 25 years prior to conversion to a
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CO2/water injection well for 30 years for the purposes of enhanced oil recovery (Figure 1a).
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Analysis of the wellbore cement showed that it was partially carbonated due to CO2 leakage
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along the cement/rock interface (Figure 1b).20 The unaltered portion of the wellbore cement is
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composed of 86 wt. % amorphous materials. The remaining material consists of typical cement
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phases, e.g., portlandite, katoite, brownmillerite, and calcite. The carbonated cement had
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experienced dissolution and precipitation reactions in which cement phases dissolved (i.e.,
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portlandite and calcium silica hydrate) and calcite and aragonite with lesser amounts of vaterite
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(total CaCO3 phases 55%) precipitated along with various amorphous phases (i.e., silica). Thus,
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the SACROC wellbore cement shows a reaction series that may be expected to occur at CO2
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sequestration sites.21 This process of carbonated fluids interacting with reactive phases with
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potential porosity and permeability alteration impacts sequestration site performance.10 We,
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therefore, focused this investigation on measuring cement porosity evolution in response to
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chemical and mineral alteration during CO2 injection to provide a better understanding of pore-
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scale processes and how those processes might influence permeability and mechanical
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properties.
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Experimental Methods
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The SACROC sample was prepared and analyzed as an ~50 µm thick thin-section mounted on
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a borosilicate slide with epoxy (Figure 1b). It was analyzed via ultra-small (USAXS), small X-
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ray scattering (SAXS) (to reveal pore distributions) and wide-angle (WAXS) X-ray scattering (to
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reveal Bragg peaks of mineral phases) at the Advance Photon Source, Argonne National
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Laboratory on beamline 9ID.22 Beam size for (U)SAXS measurements was 0.2 mm × 0.2 mm
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and WAXS measurements were 0.2 mm × 1.5 mm. For (U)SAXS measurements, the sample was
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rastered across the X-ray beam developing a 4 × 31 point grid covering most of the sample.
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WAXS measurements were collected across the shale - orange cement (i.e., alteration zone) and
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orange – grey cement interfaces (Figure 1b). Data reduction and analyses were conducted using
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the Irena and Nika macro packages yielding Q-Intensity plots [Q = 4π/λ*sin θ, where θ is the
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scattering angle and λ is the X-ray wavelength (0.6888(8) Å)].23,24 Porosity data was determined
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using the methods described by Wang et al.25 and Anovitz et al.26, while scattering characteristics
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were modeled using the Unified Fit model with a phase contrast determined between open
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porosity (unepoxied pores) and cement solids.27,28 For detailed methods description regarding
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scattering application to the characterization and analysis of porosity and pore structures were
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refer the reader to review Anoviz and Cole29. Orange and grey zone cement compositions are
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provided by Carey et al.20. Contouring and interpolation were done using Igor Pro 6.37 (Lake
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Oswego, 2015). Manual indexing, phase identification, and peak area calculations were
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performed on WAXS curves to determine the spatial distribution of mineralogy in the sample.
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Errors presented with total porosity and pore sizes are one-sigma standard deviation from each
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population.
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Electron microscopic analyses were performed using a Hitachi S4800 scanning electron
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microscope (SEM) at the High Temperature Materials Laboratory at Oak Ridge National
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Laboratory (ORNL). The sample was carbon coated prior to SEM analysis and analyzed at 15.0
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kV. Ion microscopy was performed with Zeiss’ Orion NanoFab He-ion microscope at ORNL’s
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Center for Nanophase Materials Sciences.
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Results and Discussion
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Bulk mineral analyses shows the alteration zone is primarily (55 wt. %) carbonate minerals
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(i.e., calcite, aragonite, and vaterite) and residual amorphous materials (44 wt. %).20 The exact
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nature of the amorphous material is not well known, but may include unreacted or partially
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altered calcium silica hydrate (C-S-H) phases, amorphous SiO2, iron (oxy)hydroxides, and
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aluminum (oxy)hydroxides.31,32,33,13 WAXS data from this investigation shows the carbonated
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cement is mineralogically zoned with aragonite predominantly along the shale interface with
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calcite progressively increasing towards the reaction front and spiking at the edge of the reaction
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boundary (Figure 2a). There is a weak inverse relationship between calcite and aragonite
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suggesting environmental changes leading to the predominance of either aragonite or calcite.
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Lighter colored diagonal veins within the orange alteration zone are dominated by calcite,
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whereas, orange colored areas appear to be aragonite dominated. Vaterite was previously
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reported20 from bulk XRD data, but is absent in the WAXS data. This absence is most likely due
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to high detection limits associated with the WAXS setup. Carbonate mineral detection limits for
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the WAXS system are currently not known, but previous20 bulk XRD analyses on the SACROC
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sample show vaterite to be present around 7 wt.%.
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The genetic relationships among calcite and aragonite (and vaterite) in this particular sample
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are not known. Whether these carbonate minerals are from direct precipitation or a solid-state
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transformation is essential to developing a detailed model on the microenvironments associated
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with well-bore cements during CO2 flooding or sequestration. Our observations suggest that
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calcite does not form as a function of aging (the region adjacent to the shale has been carbonated
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longer than the interior regions of the cement). The data suggest a hypothesis that aragonite
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forms at the highest degrees of supersaturation and calcite forms at lower supersaturation, as it is
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possible that the pH and CO2 content of the cement pore fluid declined as CO2 penetrated the
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cement.
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The parent cement contains primarily amorphous phases with heterogeneously distributed
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portlandite (Figure 2b), both in abundance and particle orientation. There are at least two calcite
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filled fracture sets in the parent wellbore cement that are perpendicular and subparallel to the
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reaction interface. The timing associated with the calcite infilling is not documented, so it is
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difficult to determine its closure is concurrent with the CO2-induced alteration or occurred during
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a separate event. In either case, calcite-filled fractures suggest that these fractures acted as
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conduits for CO2/CO32--bearing fluids at some point during the wellbore’s lifetime.16 Fracture
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self-sealing within cement from calcite and amorphous silica precipitation has been
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demonstrated experimentally by Huerta et al.34 and Abdoulghafour et al.35. In these particular
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examples Ca2+, H4SiO4(aq), and CO32- residence times within the fracture system determine
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whether pH is buffered followed by calcite and silica precipitation.34,35 The nearly complete
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calcite infilling associated with the SACROC fractures would further suggest that fluid flow
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during this period was minimal. Interestingly, work from Walsh et al.36,37 adds that hydraulic
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apertures are further reduced due to changing mechanical properties and fracture roughness
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deformation. Portlandite within the parent cement indicates that CO2 has not diffused into the
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parent cement where fractures are not present.20
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SEM analysis of the parent cement shows textures associated with typical cement phases
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(Figure 3a). Individual unhydrated clinkers are still present in the cement phase, but the majority
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of the sample appears to be hydration products filling the voids between the clinkers (Figure 3a).
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As CO2 or H2CO3 + H2O permeated into the cement, the parent cement textures were completely
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removed as carbonates and amorphous phases formed (Figure 3b).
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Plotting X-ray scattering data with respect to analysis position allowed us to produce contour
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maps of total porosity, porosity ranges, and fractal characteristics in relationship to microscopic
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and mineralogical data. Figure 4a shows the total porosity contours overlaid on the alteration
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zone and parent wellbore cement. Scattering results from within the unaltered, parent cement
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(i.e., gray areas) indicates total porosity ranging from 0.129 to 0.473 and an average porosity of
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0.27(8) with a bimodal nanopore distribution (Figure 4b; i.e., 1 - 2 nm and 19(2) nm populations)
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representing gel nanopores and medium capillary nanopores.38,39 The average porosity
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determined via scattering data is similar to the 0.335 porosity value reported by Carey et al.20
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using He-pycnometry. These results are consistent with previous works showing good
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agreements between low-pressure gas sorption techniques (such as CO2, N2 BET and He-
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pycnometry) and scattering techniques used for porosity and pore structure determinations.40 The
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alteration zone (i.e., orange areas) shows a less heterogeneous porosity distribution, ranging from
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0.075 to 0.252, with an average porosity of 0.14(4) (Figure 4a). Reaction fronts between
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alteration zone and parent wellbore cements show a gradual porosity decrease as the parent
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cement is carbonated. High porosity zones occur in the parent cement and are farthest away from
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the alteration front, while low porosity zones are associated with the alteration zone. Empirical
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porosity-permeability relationship such as the Kozeny-Carman relation suggests that this change
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in porosity has the potential to result in permeability changes along the cement/rock interface of
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approximately seven orders of magnitude (0.075 yielding 3.8×10-11 Darcys to 0.473 yielding
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2.4×10-4 Darcys.7,41-43 Although the Kozeny-Carman model is a simplified porosity-permeability
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relationship, empirical results all indicate a strong non-linear dependence of permeability on
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porosity.7
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At the reaction interface, pore occlusion occurs primarily within the 5 - 250 nm pores. Pore
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volumes are approximately cut in half for 100 nm or larger pores, whereas a reduction in volume
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of only about a third is observed for 10 nm pores, and significant reduction for 1 - 2 nm pores
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(Figure 4b). CO2-alteration appears to completely modify cement porosity through dissolution
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and reprecipitation, thereby removing all measurable gel nanopores (i.e., 1 - 2 nm pore sizes)
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while developing a unimodal, capillary pore distribution centered at 17(2) nm (Figure 4b). Pore
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sizes greater than ~250 nm appear to have experienced little alteration. If the trend in Figure 4 is
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taken at face-value, it seems to suggest a sequence of where initial reactions, perhaps
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precipitation, lead to constriction of 10-20 nm pores (points A-B), followed by concomitant
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dilation of 10-20 nm pores and disappearance of the 1- 2 nm pores, likely due to dissolution
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(points B-C), and lastly back-filling of 10-20 nm pores, likely due to precipitation (points C-D).
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This pore-size dependence will modify permeability differently than if reactions occurred
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uniformly across pore size.
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Reaction front porosity characteristics from the SACROC wellbore cement are not consistent
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to reaction front porosities observed in previous experiments.30,31,44 Experiments where various
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cements were exposed to supercritical CO2 show sharp leading edge boundaries, characterized
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by a high-porosity zone due to acid-induced dissolution and by a low porosity zone from
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carbonate and/or silica precipitation at the front.30,31,44 These differences may suggest the
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occurrence of multiple alteration events in the SACROC sample due to multiple periods of CO2
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infiltrations and potential pulses of CO2 upwelling. The experiments, on the other hand, were
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conducted under steady pCO2 conditions and shorter reaction times (i.e., up to 1 year versus 30
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years).30,31,44
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The scattering data yield information on the fractal dimension of the pore-fluid surfaces
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present in the cement as alteration proceeds. Porous media often display two types of fractal
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microstructure: (1) mass fractals, whose dimension (Dm; power-law slope = -Dm) is indicated by
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a power-law slope of ≥ -3 on a plot of log I(Q) as a function of log Q; and (2) surface fractals
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(Ds; power-law slope = (Ds – 6)), whose slope is between -3 and -4 (Figure 5a).25,26,29,45-48 Mass
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fractals (Dm) describe the spatial pore distribution of porous solids. Compact structures typically
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have Dm ~ 3 and Dm decreases as the pore volumes become increasingly open networks.25,45,46
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For surface fractals (Ds), smooth surfaces are described with Ds = 2 (i.e., slope = -4), and,
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approach 3 with roughening (i.e., slope = -3).25,45,46
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The parent cement in this sample has a rough pore-solid interface indicated by an average
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surface fractal, Ds, of 2.96(13), and Ds decreases to 2.43(20) due to CO2-alteration (Figure 5b).
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The decrease in Ds implies an overall smoothing of the surface and possible reduction of surface
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area. Decreasing Ds has been suggested34 to proceed via preferential solute (e.g., CO32-, Ca2+)
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sorption onto rough, more energetically favorable sites, effectively annealing rough surfaces and
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reducing the number of reactive sites.
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Mass fractal scattering (i.e., Dm ) is observed over length-scales ranging from 22 nm to 630 nm
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for both the alteration zone and parent wellbore cements. Changes in Dm suggest that less
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compact, more open structures develop due to carbonation (Figure 5c). The parent cement shows
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a fairly uniform Dm ranging from 2.81 to 2.99, further suggesting a more compact and tight pore
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structure compared to the alteration zone.49,50
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Reasons for the limited infiltration of CO2 and carbonation are difficult to determine without
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detailed knowledge of the temporal variations of CO2 at the cement-shale interface. However, a
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possible explanation based on experimental data for limited CO2-brine migration is that coupled
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geochemical/geomechanical processes reduce permeability36,37, swelling of the amorphous
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material35, filling of fractures with calcium carbonate34, or due to a fluctuating/limited CO2
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supply. In any case, limited wellbore cement carbonation is consistent with experimental studies
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of cement and supercritical CO2.30-32
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Carbonation reactions result in an increase in volume with a possible change in molar volume
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up to +53.6 cm3 mol-1 (assuming a C-S-H phase with composition 3.4CaO•2SiO2•3H2O, molar
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volume = 128 cm3 mol-1) for a dewatered, carbonated cement with an amorphous silica
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byproduct.39 The observed gel and capillary nanoporosity loss is consistent with these estimates
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of complete carbonation. Gel nanopore loss coincides with C-S-H dissolution during
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carbonation. Further, C-S-H and portlandite dissolution develops new porosities that are
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subsequently closed off during CaCO3 precipitation.
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Empirical observations have shown a non-linear inverse relationship between cement porosity
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and compressive/tensile strengths51 and carbonation of cement has been found to increase
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compressive strength.52,53 However, in three-point bending tests, CO2 attack on cement yielded a
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~93% decrease in strength and ~84% decrease in elastic modulus.54 An interesting complexity
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overlying these porosity-mechanical relationships are microfracture developments near the
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reaction front due to molar volume expansion during carbonate mineral formation coupled with
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alteration zone (i.e., unaltered cement, portlandite depleted, carbonate mineral, and amorphous
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aluminosilicate zones) displaying differing mechanical properties.55,56 Carbonate crystallization
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can induce pore over-pressurization causing damage to the matrix in form of microfractures.
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Fabbri55 speculates that most of these microfractures will occur at or near the reaction interface.
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Many instances these microfractures will not be included in the porosity calculations and
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therefore can make porosity-mechanical behavior relationships difficult to quantify. Additional
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to the microfracture effects, Hangx56 has shown that alteration zones from carbonation displays
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24-56% mechanical weakening in the portlandite-depleted and 150-181% mechanical
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strengthening in the carbonation zones as compared to neat cement.
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Environmental Implications
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The ultimate environmental implications of this work are if carbonation reactions increase, or
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decrease, CO2 storage security in cement. A review of cement carbonation behavior in relation
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to CO2 sequestration indicates that carbonation of wellbore cement reduces permeability,10
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consistent with the results on total porosity in this study. This would enhance CO2 storage
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security. Coupled to this may be variable impacts on mechanical strength of the cement, but the
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strength requirements for wellbore cement are limited.10 This work shows that reactions during
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cement carbonation reduced the gel and capillary nanoporosities, but did not significantly alter
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larger-scale porosity. This raises the importance of determining how the distribution of pore sizes
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changes in context to the total porosity and how this affects overall permeability. Furthermore,
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CO2 permeation and alteration was limited to only 8-10 mm (0.3 mm year-1) over the 30 years of
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CO2 interaction with the wellbore cement. The small penetration depth supports work suggesting
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that cement matrix leakage is not a primary leakage pathway.33 These observations can be related
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to reservoir rock and caprock properties as well as cement. Pore-scale dependent reactions
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coupled with a nonuniform alteration of the pore-sized distribution during reactive transport of
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CO2 have the potential for compounding effect on the storage security of subsurface CO2.2,3
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Acknowledgment
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This work was supported as part of the Center for Nanoscale Control of Geologic CO2, an
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Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science,
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Basic Energy Sciences under Award #DE-AC02-05CH11231. This research used resources of
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the Advanced Photon Source, a U.S. Department of Energy (DOE) Office of Science User
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Facility operated for the DOE Office of Science by Argonne National Laboratory under Contract
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#DE-AC02-06CH11357. JWC acknowledges support from the DOE National Energy
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Technology Laboratory (NETL) under Grant #FE-371-14-FY16, which is managed and
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administered by Los Alamos National Laboratory and funded by DOE/NETL and cost/sharing
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partners. He-ion microscopy was conducted at the Center for Nanophase Materials Sciences,
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which is a DOE Office of Science User Facility. The authors would like to thank Larry Lake for
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providing production data.
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and geochemical properties of Columbia River flood basalt: Implications for carbon
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complex, Hatrurim basin, Israel: Combining (ultra) small-angle neutron scattering and
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image analysis. Geochim. Cosmochim. Acta. 2013, 121, 339-362.
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changes in macro- to nano-scale porosity in the St. Peter Sandstone: An (ultra) small
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attack on hydrated class H well cement under geologic sequestration conditions. Environ.
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CO2 reaction with hydrated class H well cement under geologic sequestration conditions:
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Effects of flyash admixtures. Environ. Sci. Technol. 2009, 43, 3947-3952.
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storage environments. Int. J. Greenhouse Gas Control. 2016, 49, 149-160.
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CO2-saturated saturated in a cement fracture: Application to wellbore leakage during
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geologic CO2 storage. Int. J. Greenhouse Gas Control. 2016, 44, 276-289.
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(38) Mindess, S.; Young, J.F.; Darwin, D. Concrete, 2nd Edition. Pearson: London, England, 2002. (39) Jennings, H.M. and Tennis, P.D. Model for the developing microstructure in Portland cement pastes. J. Am. Ceram. Soc. 1994, 77, 3161-3172.
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Radlinski, A.P.; Blach, T.P. Pore structure characterization of North American Shale gas
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(41) Carman, P.C. Fluid flow through granular beds. Transactions of the Institute of Chemical Engineers. 1937, 15, S32-S48. (42) Goto, S.; Roy, D.M. The effect of W/C ratio and curing temperature on the permeability of hardened cement paste. Cem. Concr. Res. 1981, 11, 575-579. (43) Cui, L.; Cahyadi, J.H. Permeability and pore structure of OPC paste. Cem. Concr. Res. 2001, 31, 277-282.
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porosity distribution in Portland cement exposed to CO2-rich fluids. Cem. Concr. Res.
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Porosity of Sandstone: A (U)SANS and Imaging Analysis. Geochim. Cosmochim. Acta.
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(50) Winslow, D.; Bukowski, J.M.; Young, J.F. The fractal arrangement of hydrated cement paste. Cem. Concr. Res. 1995, 25, 147-156. (51) Chen, X.; Wu, S.; Zhou, J. Influence of porosity on compressive and tensile strength of cement mortar. Construction and Building Materials. 2013, 40, 869-874.
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(53) Takla, I.; Burlion, N.; Shao, J.-F.; Saint-Marc, J.; Garnier, A. Effects of the storage of CO2
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on multiaxial mechanical and hydraulic behaviors of oil-well cement. J. Mater. Civ. Eng.
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2011, 23, 741-746.
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(54) Li, Q.; Lim, Y.M.; Flores, K.M.; Kranjc, K.; Jun, Y.-S. Chemical reactions of portland
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cement with aqueous CO2 and their impacts on cement’s mechanical properties under
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geologic CO2 sequestration conditions. Environ. Sci. Technol. 2015, 49, 6335-6343.
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Gouedard, V. Effect of carbonon the hydro-mechanical properties of Portland cements.
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(56) Hangx, S.J.T.; van der Linden, A.; Marcelis, F.; Liteanu, E. Defining the brittle failure
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envelopes of individual reaction zones observed in CO2-exposed wellbore cement. Env.
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Sci. Tech. 2016, 50, 1031-1038.
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List of Figures
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Figure 1. A) Production and injection history from well 49-6 within the SACROC unit (L. Lake,
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personal communication, 2015). B) Image from the sliced sample with parent wellbore cement
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(grey), CO2 alteration zone (orange), and shale interfaces (modified from Carey et al.16).
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A
p
p
p
p
p
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B
p
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Figure 2. A) Diffraction data from the WAXS analyses. Vertical graphs show raw integrated
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peak intensities from the calcite 104 (red), aragonite 111 (purple), and portlandite 110, 101
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(blue) indices. For clarity, the spots from the WAXS scans are not presented, but the vertical
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graphs are present in the analysis locations. B) Helium-ion photomicrograph showing portlandite
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plates (P, on edge) within the parent cement. Cubic features are probably halite.
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200 µm
B
200 µm
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Figure 3. Backscatter-SEM images showing the different textural and composition zones within
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the SACROC sample. A) Grey, parent cement shows unhydrated clinkers with calcium silica
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hydrate between clinkers. B) The carbonated region displays reworked textures with most of the
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parent cement textures removed.
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Figure 4. A) Contours of total porosity distribution associated with the SACROC wellbore
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cement sample showing changes in porosity across the reaction interface between relatively
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unaltered gray cement (bottom) and altered, orange zone (top). B) Individual porosity
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distributions for points along the X=35 mm transect. Porosity of the parent cement (point A) has
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a bimodal distribution with peak frequencies at 1 - 2 nm and 19(2) nm size distributions.
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Reaction interface shows similar size distribution to the parent cement with a significant loss of
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the larger pore sizes. Porosities within the orange alteration zone (points C and D) are markedly
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altered and show a unimodal distribution with 17(2) nm pore sizes. Error bars represent
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estimated uncertainty in the collected scattered X-ray intensity values propagated to the pore
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volume distribution.
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Figure 5. A) (U)SAXS plot of log I(Q) as a function of log Q for a parent cement (black curve;
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x35, y59) and carbonated cement (green curve; x35, y48). Red curves overlaying each scattering
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curve are the modeled scattering curve from the Unified Fit modeling package. B) Surface fractal
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dimension approaching Ds = 2 within the alteration zone. Carbonation is smoothing the pore-
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solid interface. C) Mass fractal dimensions across the alteration zone and parent cement. The
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mass fractal is much more variable in the carbonation zone (both higher and lower).
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