Temperature field simulation in 3-D from cooling of a magma chamber in the La Primavera caldera, Jalisco, Mexico Surendra P. Verma1,*, Usy C. Arredondo-Parra1, Jorge Andaverde2, Efraín Gómez-Arias3 1 Departamento de Sistemas Energéticos, Centro de Investigación en Energía, Universidad Nacional Autónoma de México, Priv. Xochicalco s/no., Col. Centro, Temixco, Mor. 62580, Mexico. 2 Facultad de Ciencias Químicas, Universidad Veracruzana, Av. Universidad km 7.5, Col. Santa Isabel, Coatzacoalcos, Ver. 96538, Mexico. 3 Posgrado en Ingeniería, Centro de Investigación en Energía, Universidad Nacional Autónoma de México, Priv. Xochicalco s/no., Col. Centro, Temixco, Mor. 62580, Mexico. * Corresponding author: spv@cie.unam.mx Manuscript submitted to: International Journal of Energy Research, special issue, September 15, 2010. Summary The La Primavera caldera is situated in the western part of the Mexican Volcanic Belt (MVB), close to the triple junction of Tepic-Zacoalco, Colima, and Chapala Rifts. It is a promising geothermal field with several deep wells already drilled. Thermal modeling is an important geophysical tool as documented in the study of this and other geothermal areas of Mexico. Using computer program TCHEMSYS, we report new simulation results of three-dimensional (3-D) thermal modeling of magma chamber underlying this caldera through its entire eruptive history. Equations (quadratic fit) describing the simulated temperatures as a function of the age, volume and depth of the magma chamber are first presented, which indicate that both the depth and age of the magma chamber are more important parameters than its volume. The best model was the one that has the emplacement age of the magma chamber of 0.15 Ma, the top of the chamber at a depth of 4 km, and the chamber volume of 600 km3. Recharge events of fresh magma at the middle part of the magma chamber were also considered at 0.095 Ma, 0.075 Ma and 0.040 Ma. The simulation results were evaluated in the light of the actually measured temperatures in five geothermal wells. Future work should involve smaller mesh size of 0.050 km on each side (instead of the current 0.250 km) and take into account petrogenetic processes of fractional crystallization, assimilation, and magma mixing as well as heat generation from natural radioactive elements. It would also be of much use to make TCHEMSYS work in an automatic way, which could efficiently provide the best model(s) for each application. Keywords: heat budget; temperature field; modeling; geothermal field; magma chamber 2 1. INTRODUCTION Temperature field simulation from a magma chamber constitutes an important area of research to understand the origin and evolution of calderas and assess their geothermal potential [1-7]. In Mexico, such work has been carried out mainly in the Los Humeros caldera of the eastern part of the Mexican Volcanic Belt [8-13] (MVB; see Figure 1, [14]). The La Primavera caldera is situated in the western part of the MVB near the triple junction of three rifts or graben systems, viz., Tepic-Zacolaco rift, Colima rift, and Chapala rift (MVB, Figure 1). Exploratory well-drilling work to 2,986 km subsurface depth indicated high temperatures [15-19]. The only available temperature field simulation study in this caldera [20] was carried out in two-dimensions (2-D), assuming the top of the magma chamber at 5 to 7 km depth and horizontal dimensions of 10 to 12 km width. The resulting isotherms were qualitatively compared with the actually measured formation temperatures. In this work our aim was to carry out thermal simulation in three dimensions (3-D) of several different models of a magma chamber assumed to underlie this caldera as the primary heat source. The entire eruption history of the caldera was simulated for different models of the magma chamber (volume and depth), its emplacement age, as well as for different physical properties of the region. These results enabled us to propose two equations that were used to understand the sensitivity of these parameters to the simulated temperature field. 2. GEOLOGICAL SYNTHESIS The geology of the La Primavera caldera (about 12 km diameter) has been summarized by several researchers [15-29]. Different eruptive events were dated by Mahood and Drake [25] 3 using K-Ar method. These dates vary from about 0.145 to 0.025 Ma. Figure 2 presents a simplified geologic map of the area as well as the locations of drill wells. The nature of regional basement in the La Primavera area is not clearly known because of an extensive, thick cover of younger volcanic rocks. Drilling (Figure 3) has revealed that the oldest units consist of granitic and granodioritic rocks below about 3000 m subsurface depth. This deeper layer is overlain by dominantly andesitic rocks about 800 m thick. The third lithologic unit about 70 m thick consists of rhyolites. The upper unit is a sequence of lithic tuffs and minor andesites of an average thickness of about 1500 m. The La Primavera caldera is a very young (Late Pleistocene) volcanic complex, in which the oldest pre-caldera lavas are about 65 m thick peralkaline rhyolites at about 400 m depth. The earliest eruptions of pre-caldera lavas took place between about 0.145 and 0.100 Ma. The eruption of caldera-forming event (40 km3 of Tala tuff) occurred at about 0.095 Ma. Tala tuff and caldera-lake sediments overlie these peralkaline rocks. Soon afterwards, central domes and older ring domes (about 5 km3) were emplaced. Eruption of younger ring domes (about 3 km3) took place at about 75 ka, which was followed by uplift and final eruption of southern arc lavas (about 7 km3) at about 0.060-0.025 Ma (Figure 3). Thermal manifestations (hot springs with actually measured temperatures around 65ºC associated with geological faults and fumaroles related to caldera collapse and to later magma insurgence) were also studied by Mahood et al. [16] for estimating subsurface temperatures from solute geothermometers. Solute geothermometers for spring water indicated moderately high subsurface temperatures at La Primavera (148ºC to 172ºC from Na/K geothermometer [30, 31] and 155ºC to 175ºC from Na-K-Ca geothermometer [32, 33]). The 18O (SO4-H2O) 4 geothermometer [34] provided slightly higher temperature estimates of 184ºC to 192ºC. The actually measured bottom hole temperatures were between 170ºC and 350ºC [16, 17, 19]. 3. CONCEPTUAL MODEL Figure 4 presents a simplified conceptual model for simulating temperature field distribution in the La Primavera caldera. The diameter of the magma chamber was assumed to be 12 km, similar to the caldera diameter. It was supposed to be surrounded by granitic and granodioritic rocks actually encountered at deeper levels during drilling operations. For simulation purposes, the drill well geology (Figure 3) was simplified as three distinct layers, the deepest one consisting of granitic-granodioritic rocks. The geothermal reservoir was assumed to be at 2 to 3 km subsurface depth. The shallowest layer was assumed to be dominantly rhyolite. 4. THERMAL MODELING We used the computer program TCHEMSYS (Thermal and CHEmical Modeling of a VolcanicGeothermal SYStem) by Verma and Andaverde [12], which was written in Fortran, and consists of 8 modules that can simulate thermal and chemical evolution of a magma chamber in a maximum domain of 30 km in horizontal directions and 20 km in the vertical direction, i.e., in a space of 30x30x20 (18,000) km3. The 3-D heat flow and chemical mass-balance equations are solved in the control volume mode, with the volume size of 0.250 km in each direction, i.e., 0.250x0.250x0.250 (0.015625) km3 amounting of 1,152,000 control volumes for the entire simulated region. 5 Verma and Andaverde [12] used this program to simulate the temperature field and chemical compositions in the Los Humeros geothermal field from the cooling of a magma chamber. The results were validated by comparing the simulated temperatures with the stabilized temperatures from actual bottom hole temperature measurements reported by Andaverde et al. [35] and the simulated major-element chemistry with that of the most-voluminous calderaforming ignimbrite reported by Verma [36]. More recently, Verma et al. [13] also used TCHEMSYS to understand the dependence of spatial distribution of simulated temperatures. Thus, in the present work HEAT_FORMING module of TCHEMSYS (Figure 5) was used to simulate temperature field in 3-D for a magma chamber underlying the La Primavera caldera. The initial and boundary conditions as well as other information on the simulation models of the La Primavera caldera are summarized in Table I. The input for the program comes from three files, which contain information on boundary conditions, emplacement conditions and mesh construction (Table I). To simulate and compare the results of different magma chamber models, the volume of the magma chamber was varied from 500 to 700 km3, with its top at depths varying from 4 to 7 km. Correspondingly, the depth of the centroid of the magma chamber ranged from 6.125 km to 9.875 km. These chamber volume estimates are reasonable from the geochemical modeling reported by Verma [36] and the erupted volumes of differentiated magmas, which amount to about 45 km3 for the main caldera-forming event and the related domes emplaced practically during the same time at about 0.095 Ma. The radius of the cylindrical magma chamber (6 km) was assumed to be similar to that of the caldera. Although only highly differentiated rhyolitic magmas are emplaced within the caldera [15, 16, 26, 37], the latter is surrounded by volcanic centers that have erupted basic magmas [16, 27, 37]. Therefore, it is reasonable to assume that the magma chamber was initially formed by mantle-derived basic magmas whose initial temperature 6 was also assumed at about 1350°C [38]. This assumption is similar to that used for the magma chamber in the Los Humeros caldera [13, 39]. For simulating temperature field from different models (Table II), the time of emplacement of the magma chamber in the La Primavera was assumed to be 0.24 Ma, 0.12 Ma, and 0.095 Ma. The depth of the top of the magma chamber was assigned values of 4 km, 5 km, 6 km, and 7 km. The volume of the magma chamber was modeled as three different values of 500 km3, 600 km3, and 700 km3. Because for changing magma chamber volume for a given depth of the top of the chamber its diameter was assumed to be fixed, i.e., the chamber was assumed to grow at deeper levels. Therefore, we also report the subsurface depth of chamber centroid (Table II). Thus, TCHEMSYS was run 36 times to simulate temperature field for all combinations of emplacement time, magma chamber depth (either as the depth of the top of the magma chamber or that of its centroid), and its volume. From these simulated temperatures, best-fit equations were obtained for predicting the temperatures as a function of the emplacement time, chamber depth and volume variables. A second set of simulations were then carried out using the selected parameters of magma chamber and effective thermal conductivity values of the three layers (Figure 4), which varied as multiples of actual rock thermal conductivity data. These higher conductivity values were necessary to take into account the contribution of geological faults and fractures as well as varying porosity of the rocks. The actual distribution of these properties is difficult to establish, and therefore, different combinations of the effective thermal conductivity values were used for simulation. Besides fractional crystallization and assimilation of country rocks, an additional petrogenetic process of magma recharge was also considered. 7 5. RESULTS AND DISCUSSION 5.1. Best-fit equations The results of temperature simulation at the base of the La Primavera geothermal reservoir (assumed from 2 km to 3 km subsurface depths) for these different magma chamber models are summarized in Table III. Qualitatively, for any given magma chamber depth and volume, an increase in emplacement time (t) from 0.095 to 0.24 Ma causes an increase in the temperature at 3 km subsurface depth. For example, for magma chamber of 500 km3 volume (Vcham) emplaced at 4 km depth (top of the magma chamber, dtcham) or equivalently at 6.125 km depth of chamber centroid (dccham), the temperature increases from about 338ºC for emplacement time of 0.095 Ma to 360ºC for 0.12 Ma and to 400ºC for 0.24 Ma (Table III). Figure 6 shows the results for one of the models, in which initial time of 0.120 Ma, volume of 600 km3 and chamber depth of 4 km were assumed. Thus, it appears that the magma chamber is still maintained at high temperatures (about 700ºC - 1100ºC), the center of the magma chamber being at about 1100ºC. For a given t and Vcham, an increase in dtcham from 4 to 7 km significantly decreases the simulated temperature at 3 km depth (Table III). For example, for t of 0.095 Ma and Vcham of 500 km3, the simulated temperature decreases from 338ºC for dtcham of 4 km, to 179ºC for dtcham of 5 km, to 128ºC for dtcham of 6 km, and to 120ºC for dtcham of 7 km (Table III). Finally, for a given t and dtcham or dccham, an increase in magma chamber volume slightly decreases the temperature at 3 km subsurface depth. For example, for t of 0.095 Ma and dtcham of 4 km or dccham of 6.125 km, the simulated temperature at 3 km depth decreases from 338ºC for Vcham of 500 km3 to 333ºC for Vcham of 600 km3 and to 278ºC for Vcham of 700 km3. This may be 8 partly due to our magma chamber model, in which it is assumed that the increase in chamber volume at a given depth of the chamber top increases the depth of the chamber centroid, i.e., the chamber is supposed to maintain its diameter and grows in the vertical direction only towards the deeper levels. The best-fit equations for predicting temperatures at the base of the geothermal reservoir in terms of these parameters were obtained to quantitatively interpret the simulated data (Table III). Two regression equations 1 and 2 for these subsurface temperatures (denominated T1(Z=3km) for equation 1 and T2(Z=3km) for equation 2) were obtained as follows: T1(Z=3km) (1110 230) (900 900)t (1400 2100)t 2 (1.04 0.70)Vcham (1.0 10 3 6 10 4 )Vcham (402 30)dt cham (29.92 2.73)dt cham 2 (1) 2 T2 (Z=3km) (1284 305) (900 900)t (1400 2520)t 2 (2.77 0.85)Vcham (2.2 10 3 4 7 10 )Vcham (443 44)dccham (23.04 2.74)dccham 2 (2) 2 The quality of these best-fit equations is characterized by multiple correlation coefficient (R2; [40]) values of 0.97444 and 0.96191, respectively for equations 1 and 2. The regression analysis and examination of errors of the coefficients reveal that both intercept and dtcham are statistically significant 99% confidence level in equation 1 whereas intercept, Vcham and dccham are so in equation 2. Further, the sizes of the coefficients indicate that the temperature at the base of the geothermal reservoir shows greater dependence on both t and dtcham (or dccham) than on Vcham. These results are consistent with similar thermal modeling of magma chamber in Los Humeros geothermal field [13], in which the greater importance of the magma chamber depth was suggested as compared to its volume. 9 5.2. The best simulated model These 36 simulated models used for obtaining the best-fit equations were also evaluated by comparing the simulated temperatures with the actually measured borehole temperatures [17]. The best models are summarized in Figure 7 and Table IV. Three of these models (a), (b), and (c) were, in fact, selected from these 36 simulations, with the additional process of magma recharge at 0.095 Ma and modification of physical properties to take into account more efficient heat transfer processes in the geothermal reservoir (see Figure 7 for more details on these models). Because even these models did not fully reproduce the measured temperatures (Table IV), we present a final model (d) (emplacement time 0.15 Ma, chamber volume 600 km3, chamber depth 4 km, magma recharge at 0.095, 0.075, and 0.040 Ma, higher conductivity both in the geothermal reservoir and other geological structures; see Figure 7) provided somewhat better agreement between the simulated and measured temperatures. Finer mesh construction (e.g., 0.050 km on each side instead of 0.250 km currently used) could provide more consistent results with the measured subsurface temperatures. Additionally, petrogenetic processes such as fractional crystallization, assimilation, and magma mixing as well as heat generation from radioactive elements naturally present in rocks should be taken into account. Besides, convection processes in the geothermal reservoir will have to be simulated. We also envision the need of running TCHEMSYS in an automatic way, which could efficiently provide the best model(s) for each application. Unfortunately, in order to achieve these goals we would need better computing facilities than those currently available to us. 10 5. CONCLUSIONS Using the results of simulations in 3-D, we present two equations describing the simulated temperature at the base of the geothermal reservoir as a function of the age, volume and depth of the magma chamber. The best model was obtained for emplacement age of the magma chamber of 0.15 Ma, the top of the chamber at a depth of 4 km, and the chamber volume of 600 km 3. The temperature simulation results were evaluated in the light of the actually measured temperatures in six geothermal wells. ACKNOWLEDGMENTS Efraín Gómez-Arias benefited from a Ph.D. fellowship from Conacyt and Usy C. ArredondoParra did so partly from Sistema Nacional de Investigadores as Ayudantes de Investigador Nacional nivel 3. 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Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera, Puebla, Mexico. Chemical Geology 2000; 164:35-60. 37. Mahood G, Hildreth W. Large partition coefficients for trace elements in high-silica rhyolites. Geochimica et Cosmochimica Acta 1983; 47:11-30. 38. Nielson RL. Simulation of igneous differentiation processes. In: Nicholls J, Russell JK, Eds., Modern Methods of Igneous Petrology: Understanding Magmatic Processes. Reviews of Mineralogy 1990, 24:63-105. 39. Ferriz H. Zoneamiento composicional y mineralógico en los productos eruptivos del centro volcánico de Los Humeros, Puebla, México. Geofísica Internacional 1985; 24:97-157. 40. Bevington PR, Robinson DK. Data reduction and error analysis for the physical sciences. McGrawHill, Boston, 2003; 320 p. 15 Figure legends Figure 1. Location of the La Primavera caldera (P), Jalisco, in the western part of the Mexican Volcanic Belt (MVB), modified after [36]. The abbreviations are: MAT–Middle America Trench; MVB–Mexican Volcanic Belt; PV–Puerto Vallarta; V–Veracruz; G– Guadalajara; Hu–Los Humeros caldera; W, WC, C, and E refer to, respectively, the western, west-central, central, and eastern parts of the MVB. Major geological faults and fractures in the MVB are also shown schematically. Figure 2. Simplified surface geology of the La Primavera caldera, modified after [15, 21, 23]. The wells referred to in the text are labeled. Figure 3. Simplified lithology from the drilling information of wells in the La Primavera caldera. The wells (LP─La Primavera) along the approximate section are numbered as follows: LP2 (about 2 km depth), LP9 (about 2.986 km depth), LP1 (about 1.822 km depth), LP12 (about 2.560 km depth), LP8 (about 1.861 km depth), LP5 (about 1.215 km depth), and LP4 (about 0.668 km depth), modified after [18]. Figure 4. Simplified geological model of geothermal reservoir and magma chamber in the La Primavera caldera. Figure 5. HEAT_FORMING module of computer program TCHEMSYS used in thermal simulation of the La Primavera magma chamber. Figure 6. Temperature field distribution as a function of the depth in km (vertical axis at the right side of the diagram) or as the number of control volumes (cvn; vertical axis at the left side of the diagram). The magma chamber is schematically shown by dotted lines. The diagram shows the temperature distribution along a vertical line (coordinates 80, 1 in the control volume space) of 20 km depth, at the center of the chamber (x=60 and y=60), i.e., between the surface 16 (coordinates 60, 60, 80) and the deepest part of the simulated volume (60, 60, 1). Note the thermal anomaly due to the emplacement and cooling of the magma chamber is still observed within the magma chamber (see filled diamonds) as well as both above and below it (see open circles). Open triangles show the temperature field in the geothermal reservoir. Figure 7. Comparison of simulated temperatures with the measured temperatures in La Primavera geothermal wells LP1, LP2, LP4, LP5, and LP8 (note the approximate depths in (a), where measured temperatures were reported, and see Figures 2 and 3 for locations of wells). The symbols used are shown as inset in (b). The geothermal reservoir models were as follows: (a) Magma chamber emplacement time (t), its top (dtcham) and its volume (Vcham) were, respectively, 0.12 Ma, 4 km depth and 500 km3, magma recharge volume (magr) of 5% magma chamber volume at 0.095 Ma, assumed reservoir (2-3 km depth; ekres) effective conductivity of 10 times the rock conductivity, and of the other two layers (upper 0-2 km and lower > 3 km depth, ekul and ekll) of 1.5 times the respective rock conductivity; (b) Values of t, dtcham and Vcham were, respectively, 0.12 Ma, 4 km depth and 500 km3, magr of 10% magma chamber at 0.095 Ma, assumed ekres of 20 times the rock conductivity, and both ekul and ekll of 4 times the respective rock conductivity; (c) Values of t, dtcham and Vcham were, respectively, 0.12 Ma, 4 km depth and 500 km3, magr of 5% of magma chamber at 0.095 Ma, assumed ekres of 20 times the rock conductivity, and both ekul and ekll of 4 times the respective rock conductivity; and (d) Values of t, dtcham and Vcham were, respectively, 0.15 Ma, 4 km depth and 600 km3, magr of 10% of magma chamber at 0.095 Ma, magr of 5% of magma chamber at 0.075 and 0.040 Ma, assumed ekres of 20 times the rock conductivity, and both ekul and ekll of 4 times the respective rock conductivity values. 17 N 21 Rivera plate North American plate PV P G W WC C Mexico E V MVB Pacific plate 17 MAT Cocos plate W 106 102 98 Figure 1 18 Hu Figure 2 19 Figure 3 20 Figure 4 21 boundary_conditions.txt emplacement_conditions.txt mesh_construction HEAT_FORMING temperature.txt Figure 5 22 200 0 60 5 40 10 Simulated temperature Geothermal reservoir temperature Magma chamber temperature Location of magma chamber 20 15 20 Figure 6 23 Depth (km) Control volume number (cvn) 80 0 Temperature (ºC) 400 600 800 1000 1200 Temperature (ºC) 0 50 100 150 200 250 300 0 0 300 LP 300 600 4 5 600 5 1 1200 900 1200 Depth (m) 100 150 200 250 300 Reported temperature Simulated temperature 900 1500 1500 1 8 2 1800 1800 2100 (a) 50 0 2100 0 50 100 150 200 250 300 (b) 0 0 0 300 300 600 600 900 900 1200 1200 1500 1500 1800 1800 2100 2100 (c) (d) Figure 7 24 50 100 150 200 250 300 Table I. Initial and boundary conditions for the model of the La Primavera caldera (LPC), Jalisco, Mexico Physical property (units) Emplacement of magma chamber Boundary conditions Surface temperature (Ts ) (°C) Temperature gradient (Tg) (°C/km) 25 30 Emplacement conditions 3 Volume (Vcham) (km ) Radius (rcham) (km) Depth of the top the chamber (dcham) (km) Magma emplacement temperature (Tcham) (ºC) 500-700 6 4-7 1350 Mesh construction Length – x (km) Number of control volumes in x-direction Length – y (km) Number of control volumes in y-direction Number of geological strata Control volume (x , y , z) (km) 30 120 30 120 5 (0.25, 0.25, 0.25) Geological strata (1-5) Strata 1 (deepest layer) width (km) Thermal conductivity (W/mK) Specific heat (J/kg K) Density (kg/m3) 17.00 2.60 1073 2460 Strata 2 width (km) Thermal conductivity (W/mK) Specific heat (J/kg K) Density (kg/m3) 1.15 1.28 1151 2180 Strata 3 width (km) Thermal conductivity (W/mK) Specific heat (J/kg K) Density (kg/m3) 0.10 2.68 1074 2460 Strata 4 width (km) Thermal conductivity (W/mK) Specific heat (J/kg K) Density (kg/m3) 0.75 1.28 1073 2460 Strata 5 (shallowest layer) width (km) Thermal conductivity (W/mK) Specific heat (J/kg K) Density (kg/m3) 1.00 2.08 900 2200 Time constraints 250 0.095-0.24 Time step (t) (year) Total simulation time (t) (Ma) 25 Table II. Emplacement conditions for sensitivity evaluation of the La Primavera caldera (LPC), Jalisco, Mexico Physical property (units) Depth of the top the chamber (dtcham) (km) Depth of the chamber center (dccham) (km) Volume (Vcham) (km3) Thickness (Echam) (km) Radius (rcham) (km) Magma emplacement temperature (Tcham) (°C) Time of emplacement (Ma) Time Step (year) 26 Emplacement of magma chamber 4–7 6.125 – 9.875 500 – 700 4.4 – 6.2 6 1350 0.095 – 0.24 250 Table III. Temperature at the base of the geothermal reservoirs (3 km depth) resulting from conductive cooling of a magma chamber in the La Primavera caldera (LPC), Jalisco, Mexico Emplacement Depth of chamber Chamber Volume Temperature time top dtcham (km) centroid dccham Vcham (ºC) 3 t (Ma) (km) (km ) 0.095 4 6.125 500 338 0.095 5 7.125 500 179 0.095 6 8.125 500 128 0.095 7 9.125 500 120 0.095 4 6.625 600 333 0.095 5 7.625 600 175 0.095 6 8.625 600 127 0.095 7 9.625 600 119 0.095 4 6.875 700 278 0.095 5 7.875 700 154 0.095 6 8.875 700 123 0.095 7 9.875 700 119 0.120 4 6.125 500 360 0.120 5 7.125 500 204 0.120 6 8.125 500 138 0.120 7 9.125 500 122 0.120 4 6.625 600 357 0.120 5 7.625 600 200 0.120 6 8.625 600 137 0.120 7 9.625 600 121 0.120 4 6.875 700 306 0.120 5 7.875 700 175 0.120 6 8.875 700 130 0.120 7 9.875 700 120 0.240 4 6.125 500 400 0.240 5 7.125 500 273 0.240 6 8.125 500 189 0.240 7 9.125 500 145 0.240 4 6.625 600 402 0.240 5 7.625 600 272 0.240 6 8.625 600 188 0.240 7 9.625 600 144 0.240 4 6.875 700 366 0.240 5 7.875 700 246 0.240 6 8.875 700 173 0.240 7 9.875 700 138 27 Table IV. Reported temperature vs. temperature resulting from conductive cooling of a magma chamber in the La Primavera caldera (LPC), Jalisco, Mexico Well Depth Temperature Simulated Simulated Simulated Simulated (km) (ºC) temperature temperature temperature temperature Model-a (ºC) Model-b (ºC) Model-c (ºC) Model-d (ºC) LP1 1226 256 124 168 156 182 LP1 1822 303 203 260 242 270 LP2 2000 210 230 290 272 299 LP4 668 80 72 98 92 107 LP5 690 178 74 100 94 110 LP5 1215 223 123 166 155 180 LP8 1861 287 209 266 248 276 28