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Optimal initial velocity model inverted from the VELEST package. (a) Starting input models (gray lines and the specific velocity values are shown in Table 2) with different gradients and the inverted models (black lines) from VELEST package. (b) The average velocity (blue line) of the black lines and the corresponding inverted model (red line) after the VELEST. (c) The final 1D initial velocity model (green line) used for tomography.
Published: 09 June 2023
Figure 5. Optimal initial velocity model inverted from the VELEST package. (a) Starting input models (gray lines and the specific velocity values are shown in Table  2 ) with different gradients and the inverted models (black lines) from VELEST package. (b) The average velocity (blue line
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One‐dimensional velocity models. Blue is used for HYPOINVERSE locations and regional moment tensor inversion, based on Pechmann et al., 1995. Red is our preferred model from VELEST inversions used for single‐event VELEST and relative hypoDD relocations. Based on VELEST inversions, we used VP/VS=1.73. For comparison, yellow shows about 200 models that fit data within 1% of the preferred model to show reliable resolution between ∼6 and 15 km depth. The histogram shows the relative depth distribution of hypoDD‐relocated events, with average depth highlighted in green. The color version of this figure is available only in the electronic edition.
Published: 04 April 2024
Figure 5. One‐dimensional velocity models. Blue is used for HYPOINVERSE locations and regional moment tensor inversion, based on Pechmann et al. , 1995 . Red is our preferred model from VELEST inversions used for single‐event VELEST and relative hypoDD relocations. Based on VELEST inversions
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Initial locations for 715 out of 725 local earthquakes (sized by magnitude) near the DCPP (star), used as input into a second VELEST location run with station corrections; Figure 6 shows the output locations after the second VELEST run. For the 265 catalog earthquakes detected by FAST (hollow circles) and 226 out of 236 catalog earthquakes missed by FAST (X symbols), these are the catalog locations; if an event was in both the Northern California Seismic Network (NCSN) and Southern California Seismic Network (SCSN) catalogs, we used the NCSN catalog location. (10 missed catalog earthquakes did not have any reliable picks to use in VELEST.) For the 224 new earthquakes detected by FAST (dark diamonds), we used the locations calculated from the initial VELEST run that located 351 out of 420 new detected events. The seismic network used for event detection (hollow triangles) and an additional station used for location (solid triangle) are also shown. The color version of this figure is available only in the electronic edition.
Published: 25 June 2019
Figure A2. Initial locations for 715 out of 725 local earthquakes (sized by magnitude) near the DCPP (star), used as input into a second VELEST location run with station corrections; Figure  6 shows the output locations after the second VELEST run. For the 265 catalog earthquakes detected
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(a) The suite of eight trial velocity models used as input to VELEST to explore the model space for the local velocity model. Models labeled 1–3 consist of nine layers with heterogeneous P‐wave velocities, models 4–6 consist of nine layers of homogeneous P‐wave velocities, and model 7 is a variant of the discretized four‐layered velocity model of Zeiler et al. (2005). Only three of the four layers of the 2005 model are represented here, because we explore structure down to 30 km, whereas the 2005 model extends to 40 km. The trial model solution (model 8, black line) is the mean of the final outputs for the first seven starting models. (b) Seismic velocity model solutions derived from the eight trial models in panel (a). The color version of this figure is available only in the electronic edition.
Published: 28 June 2023
Figure 5. (a) The suite of eight trial velocity models used as input to VELEST to explore the model space for the local velocity model. Models labeled 1–3 consist of nine layers with heterogeneous P ‐wave velocities, models 4–6 consist of nine layers of homogeneous P ‐wave velocities, and model
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(a) The suite of eight trial velocity models used as input to VELEST for exploring the model space of the regional model of western Montana. Models 1–3 consist of fifteen‐layer heterogeneous P‐wave velocities, models 4–6 consist of fifteen‐layer P‐wave velocities, and model 7 is a variant of the four‐layered velocity model from Zeiler et al. (2005), which has been discretized to 15 layers to remain consistent with the first six models. The trial model solution (model 8, black line) is the mean of the outputs for the seven starting models. (b) Velocity model solutions derived from the eight trial models in panel (a). The color version of this figure is available only in the electronic edition.
Published: 28 June 2023
Figure 6. (a) The suite of eight trial velocity models used as input to VELEST for exploring the model space of the regional model of western Montana. Models 1–3 consist of fifteen‐layer heterogeneous P ‐wave velocities, models 4–6 consist of fifteen‐layer P ‐wave velocities, and model 7
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Contour maps of VELEST station delays: (a) P-delay and (b) S-delay. Inverted triangles denote station locations.
Published: 22 February 2022
Figure 4 Contour maps of VELEST station delays: (a) P-delay and (b) S-delay. Inverted triangles denote station locations.
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Earthquake locations. (a) USGS ComCat mainshock (large red circle), foreshock (yellow), and 5687 aftershocks (until 1 April 2023). First‐day aftershock lateral extent as a proxy suggests a rupture length of ∼25–30 km. The aftershock region rapidly expanded north and south (orange) and then east (cyan and dark gray). (b) In red, HYPOINVERSE absolute locations of 1446 events (foreshock, mainshock, and aftershocks) show tighter distribution than the same events from the USGS (gray circles). Triangles show temporary seismic stations. The mainshock moved ∼15 km south‐southeast and is now consistent with aftershocks. (c) VELEST absolute locations with a VELEST‐derived 1D velocity model (Fig. 5). Otherwise as panel (b). (d) hypoDD relative locations of 1401 events with the VELEST 1D model. Colors indicate temporal distribution, as in the upper left. Note: Tight relative locations from absolute and cross‐correlation differential travel times. Foreshock size is exaggerated (2×) for visibility. The color version of this figure is available only in the electronic edition.
Published: 04 April 2024
consistent with aftershocks. (c) VELEST absolute locations with a VELEST‐derived 1D velocity model (Fig.  5 ). Otherwise as panel (b). (d)  hypoDD relative locations of 1401 events with the VELEST 1D model. Colors indicate temporal distribution, as in the upper left. Note: Tight relative locations from
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P-wavespeed versus depth for VELEST models (Table 3; preferred model in red; thin lines represent the suite of inversion solutions). Northern California Seismic Network (NCSN) model (Oppenheimer et al., 1993) is shown in green and the Miller and Mooney (1994) model is shown in blue. Note that models tend to scatter at depths with sparse earthquake sampling; see Figure 4. Depth of 0 km indicates sea level.
Published: 23 December 2019
Figure 2. P-wavespeed versus depth for VELEST models ( Table 3 ; preferred model in red; thin lines represent the suite of inversion solutions). Northern California Seismic Network (NCSN) model ( Oppenheimer et al., 1993 ) is shown in green and the Miller and Mooney (1994) model is shown
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(a) P‐wave travel‐time corrections obtained from VELEST. The reference station (NPW) is depicted by a gray diamond. (b) ML station corrections. The stations discussed in the Discussion section are labeled.
Published: 03 July 2019
Figure 8. (a)  P ‐wave travel‐time corrections obtained from VELEST. The reference station (NPW) is depicted by a gray diamond. (b)  M L station corrections. The stations discussed in the Discussion section are labeled.
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Aftershock locations from VELEST for 1274 events from the final 1D velocity inversion with station corrections. Seismic stations, triangles. Clusters of hypocenters within the rectangular boxes are included in the corresponding cross sections and are referred to in the text as clusters A, B, and C, respectively . The open triangles in the cross sections indicate the surface trace of the Enriquillo fault at the center of the rectangular box.
Published: 01 August 2013
Figure 8. Aftershock locations from VELEST for 1274 events from the final 1D velocity inversion with station corrections. Seismic stations, triangles. Clusters of hypocenters within the rectangular boxes are included in the corresponding cross sections and are referred to in the text as clusters
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Velocity models for P waves obtained with VELEST for Moho depths ranging from 33 to 42 km. Two different starting velocities in the upper and lower crust and mantle were used and marked as MIN and MAX (see Table 3). Obtained rms values are classified by colors, ranging from light gray, which indicates the highest rms, to black, which indicates the lowest rms. For simplicity, selected models are shown.
Published: 01 July 2013
Figure 4. Velocity models for P waves obtained with VELEST for Moho depths ranging from 33 to 42 km. Two different starting velocities in the upper and lower crust and mantle were used and marked as MIN and MAX (see Table  3 ). Obtained rms values are classified by colors, ranging from light
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P‐ and S‐wave velocity model obtained with VELEST for the study area.
Published: 01 July 2013
Figure 5. P ‐ and S ‐wave velocity model obtained with VELEST for the study area.
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Map showing the 268 earthquakes relocated by the HYPOINVERSE/VELEST steps (white dots), and the 427 events that were relocated up through the hypoDD double‐difference algorithm (black dots). About 85% of the events locate on the Pa–NA plate boundary within the GoC. Note that the horizontal error on the earthquake epicenters is smaller than the dot size as shown. The NARS‐Baja and SCOOBA stations are shown as boxes and inverted triangles, respectively, consistent with Figure 1. The color version of this figure is available only in the electronic edition.
Published: 01 February 2013
Figure 3. Map showing the 268 earthquakes relocated by the HYPOINVERSE/VELEST steps (white dots), and the 427 events that were relocated up through the hypoDD double‐difference algorithm (black dots). About 85% of the events locate on the Pa–NA plate boundary within the GoC . Note
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Distribution of the ray paths used in VELEST(Kissling et al., 1994) shown with the polygon for the selected catalog earthquakes. Dashed lines show the outlines of the Rhenish Massif.
Published: 01 November 2004
Figure 3. Distribution of the ray paths used in VELEST ( Kissling et al. , 1994 ) shown with the polygon for the selected catalog earthquakes. Dashed lines show the outlines of the Rhenish Massif.
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A summary of the velocity models used in this study. The model of McLaren and Savage (2001) is used as the starting model for a VELEST (Kissling et al., 1994) inversion for the best 1D model. A gradient approximation of the VELEST model is used as the starting model for the 3D velocity model inversion. The 1D average of the final regional 3D velocity model is quite similar to the starting model.
Published: 01 June 2010
Figure 3. A summary of the velocity models used in this study. The model of McLaren and Savage (2001) is used as the starting model for a VELEST ( Kissling et al. , 1994 ) inversion for the best 1D model. A gradient approximation of the VELEST model is used as the starting model for the 3D
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(a) Solution of seismic velocity in the study area from simultaneous inversion in the Velest program. The red line is the best solution that converges from various models, as represented by the gray line. (b) The root mean square (rms) graph of Velest processing from best model denotes minimum solution after 30 iterations with 0.188. (c) HypoDD result with error ellipsoid from the bootstrapping analysis. The color of magnitude is represented by error depth that ranges from 0 to 0.8 km. (d) The rms for arrival times of seismic phase is dominated within –0.5 to 0.5 s. The color version of this figure is available only in the electronic edition.
Published: 16 August 2023
Figure 3. (a) Solution of seismic velocity in the study area from simultaneous inversion in the Velest program. The red line is the best solution that converges from various models, as represented by the gray line. (b) The root mean square (rms) graph of Velest processing from best model denotes
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(a) The probability of the layer velocity obtained for the top 100 models obtained from VELEST with low root mean square (rms) error. The Moho is observed at a depth of 30 km. The proposed minimum 1D model is shown as solid line whereas the velocity models after Rao et al. (2011), Kayal et al. (2004), and Gupta et al. (2016) are shown as dashed–dotted line, long dashed line, and dashed line, respectively. (b) The station correction obtained after VELEST. The diameter of the circles is indicative of the station corrections.The color version of this figure is available only in the electronic edition.
Published: 29 January 2019
Figure 3. (a) The probability of the layer velocity obtained for the top 100 models obtained from VELEST with low root mean square (rms) error. The Moho is observed at a depth of 30 km. The proposed minimum 1D model is shown as solid line whereas the velocity models after Rao et al. (2011
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RMS residual vs. number of earthquakes before VELST (blue bar) and after VELEST (red bar).
Published: 22 February 2022
Figure 2 RMS residual vs. number of earthquakes before VELST (blue bar) and after VELEST (red bar).
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Procedure to detect stations with systematic errors in travel-time data with VELEST.
Published: 01 April 2010
Figure 2. Procedure to detect stations with systematic errors in travel-time data with VELEST.
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Flowchart of the process used to determine the 1D velocity model at each site using VELEST.
Published: 14 June 2017
Figure 3. Flowchart of the process used to determine the 1D velocity model at each site using VELEST.