model_rate.val: Statistical model of induced seismicity
In amignan/rseismTLS: Induced Seismicity Traffic Light System

Description Usage Arguments Details Value References

Statistical model proposed by Mignan et al. (2017) that predicts the co-injection induced seismity rate via the linear relationship with flow rate and the post-injection rate via exponential decay.

1	model_rate.val(window, theta, inj = NULL, shutin = NULL, t.postinj = NULL)

`window`	the window to be used: "`injection`", "`post-injection`", or "`full sequence`"
`theta`	the list of model parameters: `a_fb` the underground feedback activation (`NULL` for "`post-injection`") `tau` the mean relaxation time (`NULL` for "`injection`") `b` the slope of the Gutenberg-Richter law `m0` the minimum magnitude threshold
`inj`	the binned injection profile data frame with parameters `t` the occurrence time (in decimal days) `dV` the flow rate (in cubic metres per bin)
`shutin`	the list of shut-in parameters `t` the shut-in time (in decimal days) (required for "`full sequence`" and "`post-injection`") `rate` the rate of induced seismicity at shut-in (required for "`post-injection`")
`t.postinj`	the time vector for which a seismicity rate is predicted

The linear relationship is in agreement with the literature (Dinske and Shapiro, 2013; Mignan, 2016; van der Elst et al., 2016). The exponential model was verified to perform best when tested on 6 stimulations (Mignan et al., 2017).

The binned injection profile is defined in the data.bin() function. The seismicity rate is modelled for the same time vector as inj for the injection and uses t.postinj for post-injection.

A data frame of the modelled seismicity rate with parameters:

t the time (in decimal days)
rate the seismicity rate per bin

Dinske C., Shapiro S.A. (2013), Seismotectonic state of reservoirs inferred from magnitude distributions of fluid-induced seismicity. J. Seismol., 17, 13-25 doi: 10.1007/s10950-012-9292-9

Mignan A. (2016), Static behaviour of induced seismicity. Nonlin. Processes Geophys., 23, 107-113, doi: 10.5194/npg-23-107-2016

Mignan A., Broccardo M., Wiemer S., Giardini D. (2017), Induced seismicity closed-form traffic light system for actuarial decision-making during deep fluid injections. Sci. Rep., 7, 13607, doi: 10.1038/s41598-017-13585-9

van der Elst N.J., Page M.T., Weiser D.A., Goebel T.H.W., Hosseini S.M. (2016), Induced earthquake magnitudes are as large as (statistically) expected. J. Geophys. Res., 121 (6), 4575-4590, doi: 10.1002/2016JB012818

amignan/rseismTLS documentation built on July 4, 2020, 1:04 p.m.