2D structural and thermal models in southeastern Norway based on the recently drilled Årvollskogen borehole and 2D density, magnetic and thermal modelling
© Maystrenko et al.; licensee Springer. 2014
Received: 2 August 2014
Accepted: 12 November 2014
Published: 23 December 2014
We have made an attempt to understand the main mechanism which controls the conductive heat transfer in the Årvollskogen borehole. This has been done in order to determine the 2D subsurface temperature distribution within the deep-seated crystalline rocks and, therefore, to estimate the geothermal potential in the Moss area near Oslo.
An integrated 2D density, magnetic and conductive thermal analysis has been performed in order to recognise the major structural features and thermal pattern of the crystalline crust.
Based on 2D density and magnetic modelling, a 2D structural model has been constructed for the Moss area. This 2D model has been used during the 2D thermal modelling. The results of the 2D thermal modelling demonstrate that a significant decrease of the Earth’s surface temperatures during the last glaciations still affects the subsurface thermal field of the study area in terms of reduced temperatures within the uppermost crystalline crust. The modelled temperatures are characterised by almost horizontal isotherms without considerable vertical disturbances, reflecting the predominance of subhorizontal layering within the crystalline crust of the Moss area.
The 2D density and magnetic modelling, with consideration of all available geological and structural data, allows us to reveal the deep structure of the crystalline crust within the Moss area. According to the results of the 2D thermal modelling, the predicted temperatures within the upper crystalline crust are in the range of expected values for this part of Fennoscandia.
The ecological aspects of energy production permanently increase the importance of environment-friendly sources of energy, one of which is a geothermal energy. During the last decades, the Geological Survey of Norway (NGU) has studied the crustal structure and the subsurface thermal regime of Norway in terms of both direct measurements and modelling approaches (Ebbing et al. , Olesen et al. , , Pascal et al. [2010a], [2010b], Slagstad , Slagstad et al. [2008a], [2008b], ). As a result, in the spring of 2012, NGU has been asked to join Statkraft Varme AS in a research project with the goal to evaluate the geothermal potential in the town of Moss, which is located near Oslo in southeastern Norway.
A total of 108 core samples from the 811 m-deep Årvollskogen borehole have been investigated in the laboratory of NGU to obtain values of density and thermal conductivity for the upper-crustal rocks. In addition, the NGU petrophysical database, called “Petbase” (Olesen et al. ), provides additional measured values of densities, magnetic susceptibilities and thermal properties of crystalline rocks which are exposed at the Earth’s surface within the study area.
The 2D density and magnetic modelling approach has been used to obtain a 2D density and magnetic model along Line 1 in order to understand the configuration of the deep structure within the study area. Furthermore, this gravity- and magnetic-consistent, 2D structural model has been used to evaluate the present-day conductive thermal field beneath the study area. Therefore, the main results of our study are related to the 2D configuration of the structural and thermal pattern within the Moss area based on 2D density, magnetic and thermal modelling.
The topography (Figure 2) in the vicinity of the Årvollskogen borehole, which is located at 36 m.a.s.l., is mainly characterised by comparatively smoothed landforms. Changes in relief are notable only on the western side of the Oslofjord where the relief is 200–400 m above mean sea level. The bathymetry demonstrates that depths to the sea bottom reach more than 400 m within the axial parts of the Oslofjord (Figure 2).
The major tectonic element of the Moss area is the Late Carboniferous-Early Permian Oslo Graben (Figure 1) which contains large volumes of plutonic and volcanic rocks (Ro et al. , Heeremans and Faleide ). These magmatic rocks are well mapped at the surface within the Oslo Graben, whereas some local magmatic intrusions are present within the flanks of this graben structure (Figure 4; Lutro and Nordgulen ).
At the large scale, the Oslo Graben is situated above the lithospheric transition zone (Figure 1) which is characterised by the steep gradient of the eastward-dipping lithosphere-asthenosphere boundary (Medhus , Gradmann et al. ). Tectonically, the Oslo Graben was affected by a major extensional event when a large part of Europe was subjected to a regional rifting event in the Late Carboniferous-Early Permian times (e.g. Heeremans and Faleide ). Localisation of the most prominent extensional deformation structures occurred along the major boundary fault which is located about 4 km west of the Årvollskogen borehole. Consequently, this NNE-SSW-striking graben is structurally bounded by extensional boundary faults. The average amount of vertical displacement is more than 500 m along these boundary faults (e.g. Larsen et al. ).
The bedrock geology of the Moss region (Lutro and Nordgulen, ) is shown in Figure 4. The Årvollskogen borehole is located within the eastern flank of the Vestfold Graben, which is the southern segment of the Oslo Graben. Meso- and Neoproterozoic granites and different kinds of gneisses are exposed in the Moss area (Figure 4). There are also Palaeo- and Mesoproterozoic mafic and metamorphic rocks mostly represented by gabbroic intrusions and amphibolites, as well as Late Carboniferous-Early Permian and Early Triassic intrusions. To the west, the Oslofjord Fault separates the Palaeo-Mesoproterozoic crystalline rocks of the eastern flank from the Vestfold Graben, which is filled with sedimentary rocks and the relatively thick, Upper Carboniferous-Lower Permian, synrift volcanic rocks and intrusions, including alkaline basalts, tholeiites, rhomb-porphyry lavas, larvikites and syenites (Figure 4; Neumann et al. , Larsen et al. ).
Observed gravity and magnetic anomalies
A detailed Bouguer gravity anomaly map from the NGU database (Gellein et al. , Olesen et al. ) has been used in our study (Figure 5). This map of the Moss area has been compiled by use of more than 5000 measured gravity points with a station spacing over land areas between 500 and 3000 m.
The most prominent feature of the observed gravity field over the investigated area (Figure 5) is the presence of a wide positive gravity anomaly over the western side of the Oslofjord. This NE-SW-trending anomaly is located over the axial part of the Oslo Graben. The observed gravity field along Line 1 is characterised by a NW-SE-trending positive anomaly in the south, which is possibly an eastern continuation of the previously mentioned regional gravity anomaly. In addition, a short-wavelength positive gravity anomaly is observed along the northern part of Line 1 (Figure 5).
The observed magnetic field over the study area (Figure 6) has been extracted from the NGU GEOS fixed-wing survey which was carried out in 2003 in the Oslo region by Fugro Airborne Surveys (Pty) Limited (Fugro Airborne Surveys ). The total magnetic field is referred to the International Geomagnetic Reference Field (IGRF).
The most pronounced feature of the observed magnetic field is related to the high-amplitude magnetic anomalies over the western part of the map shown in Figure 6. These prominent positive magnetic anomalies are spatially coincident with the distribution of the Late Carboniferous-Early Permian, extrusive and intrusive/igneous rocks (cf. Figures 4 and 6). Along Line 1, several short-wavelength magnetic anomalies are present, indicating a locally inhomogeneous composition of the crystalline crust within the study area.
Configuration of the deep crystalline crust within the Moss area is based on the results of forward modelling ray-tracing solutions along Line 3 of the Magnus-Rex deep seismic refraction experiment across southern Norway (see Magnus-Rex Line 3 in Figure 1; Stratford et al. , Stratford and Thybo ). Along the Magnus-Rex Line 3, the structure of the crust is characterised by almost horizontal layering with a local uplift of the major crustal boundaries beneath the Oslo Graben (Stratford et al. , Stratford and Thybo ).
In contrast, the structure of the upper crystalline crust is based on the surface geology (Figure 4) extrapolated to great depth and also borehole data.
The lithosphere-asthenosphere boundary beneath the study area (Figure 8b) has been derived from a 3D integrated geophysical modelling study by Gradmann et al. (), who used the lithospheric geometry from published data sets (Calcagnile , Artemieva , Ebbing et al. ) with adjustments applied to the depth of the lithosphere in order to match seismic velocity constraints. According to the map in Figure 8b, the depth to the lithosphere-asthenosphere boundary is characterised by a steep gradient in the vicinity of Line 1.
Densities, magnetic and thermal properties
Densities, magnetic susceptibilities and thermal properties (specific heat capacity, thermal conductivity and radiogenic heat production) of the layers within the Moss area used during the 2D density, magnetic and thermal modelling (k r is the thermal conductivity at room temperature)
Layer of the 2D structural model
Density ρ (kg/m3)
Magnetic susceptibility χm(SI)
Thermal conductivity scale value kr(W/mK)
Specific heat capacity Cp(J/kgK)
Radiogenic heat production S (μW/m3)
Amphibolite and metagabbro
Granitic to quartzdioritic gneiss
Granitic augen gneiss
Upper/middle crystalline crust
Lower/middle crystalline crust
High-density lower crustal layer
Lithospheric upper mantle
The upper-crustal densities and magnetic susceptibilities are generally taken from NGU’s petrophysical database, “Petbase”. The average constant values of upper-crustal densities and magnetic susceptibilities for each layer have been assigned according to the location of the sampling points. In addition, densities within the upper crust have been obtained by laboratory measurements of drillcore samples at NGU. The assigned upper-crustal densities vary in the range 2640–2695 kg/m3. The density for the upper-middle crystalline crust is 2740 kg/m3 on average. The middle-lower crystalline crust is characterised by an average density of 2830 kg/m3. A high-velocity lower crustal layer is characterised by velocities which exceed 6700–6800 m/s (Stratford et al. , Stratford and Thybo ). As a result, the average density of this high-velocity layer has been taken to be 3056 kg/m3. In addition, a density of 2940 kg/m3 has been chosen for the high-density middle crust. Besides, a marked velocity change from 7100–7400 m/s within the lowest crust to more than 8000–8300 m/s within the uppermost mantle occurs at the Moho (Stratford et al. , Stratford and Thybo ). This prominent change in P-velocities indicates a distinct increase of densities within the uppermost mantle compared to the lower crust. Considering the thermal state of the lithospheric mantle, an average density of the lithospheric mantle has been taken to be around 3222 kg/m3. The assigned densities of the crystalline rocks (Table 1) are generally consistent with previous gravity studies within this region (Ebbing et al. , Maystrenko and Scheck-Wenderoth ) and are in the range of the empirical velocity-density relationship according to Barton ().
In this study, the thermal conductivities of rocks have been set to be updated during the modelling in response to changes in calculated temperatures. This has been done in order to monitor changes in the thermal conductivities due to increasing temperature with depth.
where k(T) is the thermal conductivity [W/mK] at temperature T in [°C], k(0) is the thermal conductivity [W/mK] at 0°C, kr is the thermal conductivity [W/mK] at room temperature of 25°C and T is the temperature [°C].
where k(T) is the thermal conductivity [W/mK] at temperature T [K], ko is the thermal conductivity [W/mK] at 0°C, kr is the thermal conductivity [W/mK] at room temperature of 25°C, T is the temperature [K], a and b are constants which vary within the following range: a = 0.0030 ± 0.0015 and b = 0.0042 ± 0.0006.
where k(T,P) is thermal conductivity [W/mK] at temperature T [K] and under pressure [Pa], kr is the thermal conductivity [W/mK] at room temperature, T is the temperature [K], γ is Grueneisen parameter (γ =1 to 1.4), a is the phonon fitting parameter (a =0.25 to 0.45), α(T-298) is the volume coefficient of thermal expansion as a function of temperature, Ko is the bulk modulus [Pa] (Ko = 261 GPa), K’o is the pressure derivative of the bulk modulus (K’o = 5) and krad is the radiative component of the thermal conductivity, enhanced according to van den Berg et al. ().
where S is the radiogenic heat production [μW/m3], ρ is the density [kg/m3], CU and CTh are the concentrations of U and Th in ppm, and CK is the concentration of K in wt.%.
The values of thermal properties for the lithospheric mantle, and the middle and lower crystalline crust are inferred from the results of measurements of rock samples with similar lithological composition (Čermak and Rybach , Clauser ). In addition, the assigned thermal properties of the crystalline crust and the lithospheric mantle have been compared with published values from Wollenberg and Smith (), Hofmeister (), Artemieva et al. () and Scheck-Wenderoth and Maystrenko (, ). It should be mentioned that the derived density, magnetic susceptibility, specific heat capacity and radiogenic heat production have been set to be constant for each layer (Table 1).
The 2D density, magnetic and thermal modelling have been applied to understand the present-day deep structure and thermal state of the crystalline crust within the Moss area.
The 2D density and magnetic modelling have been carried out by use of the commercial software package Geosoft Oasis montaj. During this modelling, the GM-SYS Profile Modelling module has been used to model the structure of the crystalline crust along a 2D profile (Line 1 in Figures 2, 4, 5 and 6) by interactive changes of the geometries, densities and magnetic properties of the layers, in order to obtain a fit between the observed gravity and magnetic anomalies and the modelled gravity and magnetic responses of the 2D structural model. The advantage of the GM-SYS Profile Modelling is that a great number of 2D layers/bodies with any polygonal shape can be used to simulate the deep structure within the study area. This means that any geometrical complexity of the geological structure can be accurately represented and examined during the 2D density and magnetic modelling. Therefore, GM-SYS Profile Modelling allows us to create a complex 2D structural model which is consistent with both the observed gravity and magnetic fields.
A 2D temperature distribution has been calculated with the help of the commercial software package COMSOL Multiphysics, which is a finite-element analysis software for a variety of physical processes.
where ρ is the density [kg/m3], C is the heat capacity [J/kgK], T is the temperature [K], k is the thermal conductivity [W/mK], ∇T is the temperature gradient [K/m], t is the time [s], Q is the heat source (radioactive heat production) [W/m3], δT is the change in temperature per time interval δt, and ∇⋅ is the operator giving the spatial variation in temperature.
where k is the thermal conductivity [W/mK] and ∇T is the temperature gradient [K/m].
The 2D thermal modelling has been performed by means of a finite-element method in 2D which is a suitable approach for a relatively complex geological structure. Free triangular elements with different size have been used for the mesh. The mesh has been set to be more detailed within the upper part of the model compared to the deeper part. The reason for this is related to the fact that the resolved structure is relatively detailed within the upper crust.
The solution of the heat equation (8) is sensitive to the thermal boundary conditions. The lateral boundaries are closed to heat transfer, assuming that the temperature gradient is zero across the thermally insulated lateral boundaries. The base of the lithosphere (Figure 8b) has been chosen as a lower thermal boundary, which corresponds to the 1300°C isotherm (Turcotte and Schubert ). For the upper boundary, the annual average air temperature and time-dependent palaeotemperatures at the Earth’s surface (Figure 2) have been applied.
The 2D thermal modelling has been carried out considering the palaeoclimatic changes of the surface temperature during the last 228,000 years before present (BP). During this time interval, the Moss area was affected by glaciations during the Saalian glacial/Eemian interglacial period (220,000-110,000 years BP) and the Weichselian glacial period (~110,000–10,000 years BP), as well as by the Holocene interglacial period (10,000 years BP to present day). The present-day temperature at the Earth’s surface has been taken from the database at the Norwegian Meteorological Institute (Tveito et al. ) and is 6.2°C.
The palaeotemperature at 8000 years BP has been assumed to be about 1°C below the present-day average air temperature. The difference between the present-day temperature and the temperature at 8000 years BP has been inferred from the reconstructed, area-average, mean annual temperature anomalies for northwestern Europe (Davis et al. ).
Time-dependent surface temperatures (palaeotemperatures) for the Årvollskogen borehole
Time BP (years)
Average palaeo-temperature (°C)
Deviations of palaeotemperature in the range ±8°C (°C)
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
−13 - 6
Results and discussion
Results of 2D crustal (2D density and magnetic) modelling
On the regional scale, there is a gradual increase in the observed gravity within the southern part of Line 1 (Figure 13). According to the results of the 2D density modelling, this regional-scale positive gravity anomaly is related to the presence of the high-density zone within the middle crust (the violet body in Figure 13) which can be at least partially associated with the basin-scale positive gravity anomaly over the axial part of the Oslo Graben (Figure 5). On the other hand, this regional gravity anomaly does not really correlate with the series of high-amplitude positive magnetic anomalies over the western part of the Oslo region (c.f. Figures 4 and 6) and therefore, to some extent, these anomalies could have a different origin.
An obvious correlation between the high-amplitude magnetic anomalies and areas underline by the Upper Carboniferous-Lower Permian magmatic rocks (c.f. Figures 4 and 6) indicates an upper-crustal origin for the positive magnetic anomalies over the western part of the magnetic map in Figure 6. On the other hand, the long-wavelength positive gravity anomaly over the axial part of the Oslo Graben could be mostly associated with the deep-seated high-density body. The presence of this body is supported by zones of increased seismic velocities within the middle crust of the Oslo Graben according to the Magnus-Rex deep seismic experiment (Stratford et al. ; Stratford and Thybo ). Therefore, the modelled, middle-lower, crustal high-density zone within the southern part of Line 1 (Figure 13) could represent the southeastern extension of the middle-lower crustal high-velocity zone beneath the central part of the Oslo Graben.
The long-wavelength component of the observed gravity anomalies is complicated by a short-wavelength positive gravity anomaly over Line 1 between 10,000 and 20,000 metres (Figure 13). In contrast to the previously described case, there is a clear correlation between this local-scale gravity anomaly and the observed magnetic anomalies (Figure 13, c.f. Figures 4 and 6). Moreover, these short-wavelength gravity and magnetic anomalies are situated over the magmatic intrusive rocks (gabbro and pyroxenite) according to the geological data (Figure 4; Lutro and Nordgulen ). As a result, the magmatic intrusion has been included into the upper and middle crystalline crust during the 2D crustal modelling in order to fit the observed and modelled gravity anomalies. According to the geological data, this vertically elongated intrusive body (the brown body in Line 1 in Figure 13) may have a Late Carboniferous, Permian or Early Triassic age.
In addition to the above-mentioned Upper Palaeozoic-Lower Mesozoic (possibly Early Triassic) intrusion, several smaller intrusions (orange bodies) have been included into the upper-middle crust based on the geological map (Lutro and Nordgulen ) and the potential field data. However, these intrusions are shown rather schematically because they are not so strongly pronounced by the observed gravity and magnetic fields as compared to the previously described intrusion. This is most likely due to the fact that these smaller intrusions are much older and are mainly represented by the Palaeo-Mesoproterozoic (meta)gabbros and metamorphosed intrusions (amphibolites). The Årvollskogen borehole is actually located within the area where the Palaeo-Mesoproterozoic gabbros and amphibolites are exposed at the surface and are also encountered in our borehole. In this particular case, the thickness of the drilled amphibolites is around 300 m within the upper part of the Årvollskogen borehole. The amphibolites and gabbros are definitely characterised by different thermal properties compared to the surrounding granitic gneisses and, for that reason, these rocks have been included into the 2D crustal model in order to enhance the accuracy of the 2D conductive thermal modelling. On the other hand, the detailed geometry of these intrusions is somewhat uncertain.
For the final fit of the observed and modelled gravity and magnetics, the upper crust has been subdivided into several blocks with slightly different densities and varying magnetic susceptibilities. This detailed structure of the upper crystalline crust has been modelled to reproduce the short-wavelength components of the observed gravity and magnetic fields, indicating the presence of upper-crustal blocks with varying densities and magnetic properties. The latter, together with the geological data (Lutro and Nordgulen ), demonstrate that the lithological composition of the upper-crustal layer varies spatially and, therefore, the thermal properties of the upper-crustal rocks can vary as well.
Results of 2D conductive thermal modelling
The final step of our integrated study concerns 2D thermal simulations, which have been performed to understand the thermal pattern of the subsurface beneath the Moss area. The obtained 2D crustal model along Line 1 (Figure 13), consistent with the gravity and the magnetics, has been used as a structural skeleton during the 2D conductive thermal modelling. A number of testing models have been generated and validated during the 2D thermal modelling in order to simulate a fit between the measured and the modelled temperatures in the Årvollskogen borehole.
The starting point of the 2D thermal modelling was an initial thermal model that has been calculated without consideration of the palaeoclimatic corrections. The annual average air temperature during the period 1961–1990 (Tveito et al. ) near the location of the Årvollskogen borehole has been used for the upper thermal boundary at the Earth’s surface (Figure 4). In particular, a constant temperature of 6.2°C has been applied during the initial 2D thermal modelling at the surface within the Moss area. The lithosphere-asthenosphere boundary (Figure 8b; Gradmann et al. ) has been taken as a lower thermal boundary, which corresponds approximately to the 1300°C isotherm (e.g., Turcotte and Schubert ).
According to Kukkonen (), Popov et al. (), Slagstad et al. (), Kukkonen et al. () and others, the significant changes in the shallow temperatures can be related to palaeoclimatic effects and/or advective cooling due to groundwater flow. In the case of the Moss area, drilling and logging in the Årvollskogen borehole indicate the presence of a number of fracture zones. On the other hand, the continuous character of the measured temperature-depth plot is characterised by an absence of large peaks related to strong groundwater flow (Figure 14). Therefore, the influence of only the palaeoclimatic changes has been considered in the present study, following the modified assumptions suggested by Slagstad et al. (). The correction made to heat flow for palaeoclimate can reach up to 25 mW/m2 in the Årvollskogen borehole, and is generally around 20 mW/m2 according to the European-scale estimation by Majorowicz and Wybraniec () within this part of Scandinavia. Palaeoclimatic corrections of heat flow are also relatively high in the British Isles, ranging from 13.4 to 28.2 mW/m2 (Westaway and Younger, ). Therefore, palaeoclimatic corrections can significantly change the uppermost thermal pattern within the study area.
It is obvious that various density, magnetic and structural models can independently reproduce the observed gravity or magnetic fields. Therefore, we have to consider the inherent non-uniqueness of the methodology. During this investigation, most of the limitations of the approach have been drastically reduced by use of additional constraining structural data. Sensitivity analysis demonstrates that the modelled gravity response is mainly sensitive to modifications of the layer’s geometry at the interfaces where a strong density contrast is present, such as internal crustal boundaries, the Moho discontinuity and the lithosphere-asthenosphere boundary. For instance, at a depth of 4500–5500 m, the modelled lithological change in the crust is supported by seismic data (Stratford and Thybo ). At this depth there is a P-wave velocity change from 5560–6030 m/s in the upper layer to more than 6100 m/s below this layer. This difference in seismic velocity is reflected by 2D density modelling which indicates changes of average densities from 2645–2695 kg/m3 to 2740 kg/m3 within this part of the upper crust (Figure 13). Furthermore, the depth position of the Moho is well constrained by deep seismic data over large parts of the modelled area (Figure 1, 6a; Stratford et al. , Stratford and Thybo ). The uncertainties in geometry, densities and magnetic properties actually increase with depth as a result of the decreasing resolution of the input data. This point is especially relevant for the depth to the lithosphere-asthenosphere boundary which is the deepest boundary of the model and at the same time the lower thermal boundary. To remove all uncertainties, additional data would be required which we do not have at the moment. Alternatively, the influence of the probable uncertainties in the depth of the lithosphere-asthenosphere boundary can be examined. The modelled temperatures for two possible cases with a 20,000 m shallower and a 20,000 m deeper base of the lithosphere have been calculated in addition to our preferred configuration of the lower thermal boundary in Figure 8b. Furthermore, 2D thermal models with reduced and increased values of the radiogenic heat production within the upper and middle crust have also been evaluated. The reduction and increase of the radiogenic heat production have been chosen to be equal to 0.5 μW/m3, representing an influence of possible variations of the radiogenic heat production within the upper and middle crust of the Moss area at the regional scale. The position of the lower thermal boundary controls the distance to a deep heat from the Earth’s interior, which is one of the main heat sources in the 2D thermal model, and the radiogenic heat production of the upper and middle crust represents the largest source of heat in the model in addition to the internal heat of the Earth. Therefore, the influence of two major factors, such as (1) the vertical position of the lower thermal boundary and (2) the radiogenic heat production within the middle-upper crystalline crust, which control the pattern and magnitude of heat flow, have been examined, allowing us to estimate the first-order uncertainty of the modelled temperature. The results of the sensitivity analysis (Figure 17) indicate that the differences in temperatures strongly increase with depth, reaching deviations of the modelled temperature of about ±12% down to a depth of 6000 m.
The regional structure of the upper crust is relatively complex, reflecting the long-lasting tectonic evolution since Palaeoproterozoic time when the majority of the gneissic crystalline rocks of the Moss area were formed. The results of the 2D density and magnetic modelling indicate that the crystalline crust is characterised by subhorizontal layering which is strongly complicated by the presence of the magmatic intrusions within the upper part of the crystalline crust (Figure 13).
Based on the gravity- and magnetic-consistent structural background, the modelled temperature in the subsurface of the Moss area reflects the interaction between the thermal properties of the rocks and the deep heat flow from the base of the lithosphere. At great depths, the limited information that we have about the thermal properties of rocks implies that the chosen values of the radioactive heat production, thermal conductivity and specific heat capacity can vary within a reasonable range and, therefore, the modelled temperature-depth profile can deviate from the obtained values (Figure 15a). The thermal effects of changes of the thermal properties and the depth position of the lithosphere-asthenosphere boundary have been examined, showing that the deviations of the modelled temperature are around ±12% at a depth of 6000 m. It should be mentioned that if more than one parameter (radiogenic heat production, depth to the lithosphere-asthenosphere boundary, thermal conductivity, etc.) does not fit the predicted range of values, the differences can increase to more than 12% in total. On the other hand, the relative stability of the results is supported by a coincidence between the calculated and the measured temperatures in the Årvollskogen borehole when the palaeoclimatic corrections are considered (Figure 16).
The effect of the palaeoclimatic changes on the surface temperature is relatively great within the Moss area, which was affected by two separate glaciations (Saalian and Weichselian glacial periods) during the last 228,000 years.
In summary, it can be stated that the modelled temperatures in the Moss borehole are within a reasonable range of values which would be expected within the eastern flank of the Oslo Graben, according to available information about the structure of the study area.
NGU: Geological Survey of Norway (Norges geologiske undersøkelse).
The authors are grateful to Statkraft Varme AS (and Torbjørn Mehli in particular) for the initiation and support of this study within the framework of the project “Evaluation of the deep geothermal potential in Moss area, Østfold county”. We would also like to thank Statkraft Varme AS for permission to publish the obtained results, and colleagues in the NGU laboratory for performing the analyses. We appreciate the helpful reviews and suggestions provided by two anonymous reviewers. Special thanks to David Roberts for improvement of English.
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