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HYPOINVERSE

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Comparison of depths of earthquakes during 8–11 March 2023, at Tanaga Island calculated using: (a) the generalized Bancroft method, (b) HYPOINVERSE with the default HYPOINVERSE trial solution, and (c) HYPOINVERSE using the Bancroft result as the trial solution. Both HYPOINVERSE results routinely find artificial, unphysical depths at the top of the velocity model (Z = −1.8 km) for shallow earthquakes, whereas the generalized Bancroft method obtains more realistic depths within the velocity model. Standard depth errors for these earthquakes, as reported by HYPOINVERSE, are on average on the order of 1–2 km.
Published: 07 January 2025
Figure 5. Comparison of depths of earthquakes during 8–11 March 2023, at Tanaga Island calculated using: (a) the generalized Bancroft method, (b) HYPOINVERSE with the default HYPOINVERSE trial solution, and (c) HYPOINVERSE using the Bancroft result as the trial solution. Both HYPOINVERSE results
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Maps of earthquake locations during 8–11 March 2023, at Tanaga Island calculated using: (a) the generalized Bancroft method, (b) HYPOINVERSE with the default HYPOINVERSE trial solution, and (c) HYPOINVERSE using the Bancroft result as the trial solution. The colorbar in panel (a) applies to all panels. The color version of this figure is available only in the electronic edition.
Published: 07 January 2025
Figure 3. Maps of earthquake locations during 8–11 March 2023, at Tanaga Island calculated using: (a) the generalized Bancroft method, (b) HYPOINVERSE with the default HYPOINVERSE trial solution, and (c) HYPOINVERSE using the Bancroft result as the trial solution. The colorbar in panel
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Histograms of the root mean square (rms) misfit of earthquake locations during 8–11 March 2023 at Tanaga Island calculated using: (a) the generalized Bancroft method, (b) HYPOINVERSE with the default HYPOINVERSE trial solution, and (c) HYPOINVERSE using the Bancroft result as the trial solution. The color version of this figure is available only in the electronic edition.
Published: 07 January 2025
Figure 4. Histograms of the root mean square (rms) misfit of earthquake locations during 8–11 March 2023 at Tanaga Island calculated using: (a) the generalized Bancroft method, (b) HYPOINVERSE with the default HYPOINVERSE trial solution, and (c) HYPOINVERSE using the Bancroft result as the trial
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Spatiotemporal distribution of seismic activity. Dot color and size corresponds to the event origin time and magnitude, respectively. The number at the bottom right of each subgraph is the counts of earthquakes. (a–d) REAL, VELEST, HYPOINVERSE, and hypoDD location results in turn, respectively. (e) The comparison between the localization results of HYPOINVERSE and hypoDD. An event is considered successfully matched if the origin times differ by no more than 1 s. Matched events are connected by line segments. Events located by HYPOINVERSE are denoted with gray dots, whereas those located by hypoDD are represented with colored dots, where the color indicates the difference in depth between two location methods.
Published: 13 August 2024
Figure C-1. Spatiotemporal distribution of seismic activity. Dot color and size corresponds to the event origin time and magnitude, respectively. The number at the bottom right of each subgraph is the counts of earthquakes. (a–d) REAL, VELEST, HYPOINVERSE, and hypoDD location results in turn
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Histogram of the root mean square (rms) difference between the HYPOINVERSE and Bancroft solutions using Charlevoix seismic‐zone real data. An rmsD>0 represents a solution in which Bancroft produced a better rms than HYPOINVERSE, and rmsD<0 represents a solution in which HYPOINVERSE produced a better rms than Bancroft.
Published: 27 January 2015
Figure 3. Histogram of the root mean square (rms) difference between the HYPOINVERSE and Bancroft solutions using Charlevoix seismic‐zone real data. An rms D >0 represents a solution in which Bancroft produced a better rms than HYPOINVERSE, and rms D <0 represents a solution in which
Journal Article
Published: 07 January 2025
Bulletin of the Seismological Society of America (2025) 115 (2): 367–378.
...Figure 5. Comparison of depths of earthquakes during 8–11 March 2023, at Tanaga Island calculated using: (a) the generalized Bancroft method, (b) HYPOINVERSE with the default HYPOINVERSE trial solution, and (c) HYPOINVERSE using the Bancroft result as the trial solution. Both HYPOINVERSE results...
FIGURES | View All (6)
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(a) Comparison of Bancroft algorithm and HYPOINVERSE location residuals using synthetic data. Dark gray indicates Bancroft, and the black lines indicate HYPOINVERSE. Histograms are shown for latitude, longitude, depth, and origin time residuals calculated from the true and estimated solutions using HYPOINVERSE and the Bancroft algorithms. The x axis shows residual values and y axis shows frequency. (b) Histograms of the same variables but without adding Gaussian noise to synthetics.
Published: 27 January 2015
Figure 2. (a) Comparison of Bancroft algorithm and HYPOINVERSE location residuals using synthetic data. Dark gray indicates Bancroft, and the black lines indicate HYPOINVERSE. Histograms are shown for latitude, longitude, depth, and origin time residuals calculated from the true and estimated
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Histograms of the GDOP classified by rms value. For hypocenters with GDOP&lt;∼4, Bancroft had fewer cases with smaller rms than did HYPOINVERSE. For hypocenters with GDOP&gt;∼4, Bancroft had more cases with smaller rms than did HYPOINVERSE.
Published: 27 January 2015
Figure 5. Histograms of the GDOP classified by rms value. For hypocenters with GDOP<∼4, Bancroft had fewer cases with smaller rms than did HYPOINVERSE. For hypocenters with GDOP>∼4, Bancroft had more cases with smaller rms than did HYPOINVERSE.
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Published: 12 August 2015
Table 3 Hypocentral Parameters for the 15 and 16 May 1951, Seismic Events Obtained in the Present Study Using the HYPOSAT and HYPOINVERSE‐2000 Version hyp1.40 Location Codes 15 May 1951 16 May 1951 Parameter HYPOSAT HYPOINVERSE HYPOSAT HYPOINVERSE Origin time (GMT
Journal Article
Published: 01 April 1984
Seismological Research Letters (1984) 55 (2): 3–6.
... of the more widely used programs (HYPOELLIPSE, FASTHYPO, HYPO71, and HYPOINVERSE). In all the programs considered, an individual confidence interval is given for the depth error. For the epicentral error, HYPO71 and HYPOINVERSE provide only individual confidence estimates, while the other programs provide...
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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
Journal Article
Published: 01 April 1990
Bulletin of the Seismological Society of America (1990) 80 (2): 395–410.
..., using various layered and laterally varying velocity models. Locations with QUAKE3D are nearly identical to HYPOINVERSE locations when the same flat-layered velocity model is used. For the examples presented, the computation time per event is approximately 4 times slower than HYPOINVERSE...
Journal Article
Published: 01 June 1986
Bulletin of the Seismological Society of America (1986) 76 (3): 771–783.
...Barry R. Lienert; E. Berg; L. Neil Frazer Abstract We present an earthquake location method, HYPOCENTER, which combines features of the two well-known algorithms HYPO71 and HYPOINVERSE, with a new technique which we term adaptive damping. Each column of the linearized condition matrix T , which...
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A map view showing the 30 well‐located earthquakes with initial HYPOINVERSE locations as red circles and HypoDD locations as green circles. The HypoDD locations of the 10 large earthquakes are shown as blue circles, with error ellipses from the original HYPOINVERSE location. The thickly colored sections of the well paths highlight the hydraulic fracturing stages that correlate with the highest number of detected seismicity. The composite focal mechanism is also plotted for reference.
Published: 15 October 2014
Figure 7. A map view showing the 30 well‐located earthquakes with initial HYPOINVERSE locations as red circles and HypoDD locations as green circles. The HypoDD locations of the 10 large earthquakes are shown as blue circles, with error ellipses from the original HYPOINVERSE location. The thickly
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(a) Map view of six HYPOINVERSE locations with their horizontal location errors (95% confidence level). The circle sizes are scaled by their local magnitudes. (b) Map view of double‐difference (DD) locations using the phase data only. The mainshock focal mechanism is shown, and thin black lines indicate two nodal planes. (c) Map view of DD locations using both phase and waveform cross‐correlation (WCC) data. (d) Fault plane view (strike 114°, dip 70°) of the DD locations constrained from both the phase and WCC data. Event IDs (1–6) and bootstrap‐derived relative location errors (95% confidence level) are shown. Inferred rectangular rupture area is shown as the gray area along with the rupture vector (black arrow). (e) Along‐strike cross section (A–A′) of the DD locations. (f) Across‐strike cross section (B–B′) of the DD locations. The sub‐vertical dashed line through the hypocenters indicates a dip of 70° SW.
Published: 04 November 2022
Figure 3. (a) Map view of six HYPOINVERSE locations with their horizontal location errors (95% confidence level). The circle sizes are scaled by their local magnitudes. (b) Map view of double‐difference (DD) locations using the phase data only. The mainshock focal mechanism is shown, and thin
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Geometric dilution of precision (GDOP) for the Tanaga Volcano seismic network calculated at four different depths: (a) Z = 0 km, (b) Z = 1 km, (c) Z = 2 km, and (d) Z = 3 km. The colorbar in panel (a) applies to all panels. The most westerly station, shown in Figure 2, is not plotted since it was inoperable during March 2023. Contours of GDOP values equal to 5 are plotted as the black thick lines and HYPOINVERSE locations within the GDOP = 5 contour are expected to be of good quality (Gómez et al., 2015). The different plots show that GDOP decreases at shallower depths, and this explains the unrealistic solutions for shallow earthquakes derived using HYPOINVERSE in Figure 5. Below 2 km depth, good‐quality locations are expected across the entire network. The color version of this figure is available only in the electronic edition.
Published: 07 January 2025
, is not plotted since it was inoperable during March 2023. Contours of GDOP values equal to 5 are plotted as the black thick lines and HYPOINVERSE locations within the GDOP = 5 contour are expected to be of good quality ( Gómez et al. , 2015 ). The different plots show that GDOP decreases at shallower depths
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(a) Map view of 36 HYPOINVERSE locations with their horizontal and vertical location errors. (b) Map view of double‐difference (DD) locations using only the phase data (event 8 not relocated). The mainshock focal mechanism is shown, and black lines indicate two nodal planes. The main cluster and the #21 cluster are shown as red and black circles, respectively. (c) Map view of DD locations using both phase and waveform cross‐correlation (WCC) data (events 2 and 8 not relocated). (d) Detailed along‐strike cross section (B–B′) of the DD locations constrained from the phase and WCC data. Two foreshocks are shown as filled gray circles. The mainshock source area is about 1.8 km × 1.4 km (vertical). (e) Across‐strike cross section (A–A′) of the DD locations shown in panel (c). The vertical line through the hypocenters indicates a dip of 86° NE. (f) Along‐strike cross section (B–B′) of the DD locations as panel (d) (see Fig. S3).
Published: 17 May 2022
Figure 4. (a) Map view of 36 HYPOINVERSE locations with their horizontal and vertical location errors. (b) Map view of double‐difference (DD) locations using only the phase data (event 8 not relocated). The mainshock focal mechanism is shown, and black lines indicate two nodal planes. The main
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(a). Map view of HYPOINVERSE location of 19 events; (b) cross-section A–B of HYPOINVERSE locations; (c) cross-section C–D of HYPOINVERSE locations; (d) map view of double-difference locations using only phase data, event 13 was an outlier and not located; (e) across-strike cross-section (A–B) of DD locations using only phase data; (f) along strike cross-section (C–D) of DD locations using only phase data; (g) map view of double-difference locations using waveform cross-correlation data, all 19 events were located. The beach ball indicates possible fault plane; (h) across-strike cross-section (A–B) of DD locations using waveform cross-correlation; and (i) along strike cross-section (C–D) of DD locations using waveform cross-correlation data. A star indicates the mainshock. Foreshocks are plotted as squares; aftershocks are plotted as circles. Location errors are indicated by horizontal and vertical bars at each event.
Published: 01 June 2010
Figure 4. (a). Map view of HYPOINVERSE location of 19 events; (b) cross-section A–B of HYPOINVERSE locations; (c) cross-section C–D of HYPOINVERSE locations; (d) map view of double-difference locations using only phase data, event 13 was an outlier and not located; (e) across-strike cross-section
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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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Location errors calculated with the Hypoinverse code (Klein, 2002). Triangles (left frame) are the rms of the time residuals versus horizontal errors (ERH) in kilometers. The right frame is the rms versus the vertical errors (ERZ) of the initial locations.
Published: 01 December 2011
Figure 2. Location errors calculated with the Hypoinverse code ( Klein, 2002 ). Triangles (left frame) are the rms of the time residuals versus horizontal errors ( ERH ) in kilometers. The right frame is the rms versus the vertical errors ( ERZ ) of the initial locations.