The Role of Seismic Directivity in Tele-seismically Induced Well Level Oscillations

Surface waves induced by large earthquakes travel large distances around the globe and can cause disturbances in ground water systems as they pass. Their most minimal disturbance is manifested through oscillations of hydraulic head in wells. In order to understand what controls well oscillatory response, we examine hydrograph records from 22 wells in South Florida's Floridan aquifer, which were acquired over a nine-year period (June 2003 - September 2012). We found a regional threshold of Mo=6.9 earthquakes for inducing well oscillations. Our record includes 99 main shock events at or above this magnitude. As the induced oscillations also depend on the distance between the earthquake and the well, we applied the commonly used Seismic Energy Density (SED) parameter [Wang and Manga 2010;Wang 2007;Wang 2008] and investigate the relationship between SED and well oscillations. The minimum SED value of events with oscillations in our data set was 0.002 j/m3. Wang and Manga [2010] found a similar value of 0.001 j/m3 for sustained groundwater change, very close to our observations for transient changes. However, our threshold value did not guarantee a well oscillatory response. In the South Florida well dataset only 16% of events with SED values at or above 0.002 j/m3 showed hydraulic head oscillation. When looking at events with SED of 0.005 j/m3 or above, 55% of events (16 out of 29) showed oscillations in hydraulic head. In this research we explore other parameters beside earthquake magnitude and distance to the well that can explain why 45% of events with SED>0.005 j/m3 still showed no oscillatory response. We hypothesize that inconsistent oscillatory response reflects the effect of seismic directivity. Direct calculation of Rayleigh wave amplitude directivity is a complicated procedure [Haskell 1990] and proved to be too difficult in the far field without the aid of data from well-situated seismometers. Thus instead, we examined the role of seismic directivity, as determined by the faulting mechanism (normal, reverse, and strike-slip) and fault orientation, with respect to the wells, on the occurrence of tele-seismic induced well oscillations. We calculated the angle between the fault orientation and the great circle initial bearing from the epicenter to the South Florida well field, which we termed Delta. We found that for each faulting type, oscillatory events correlate well with specific Delta angles. For strike-slip events of sufficient SED, a strong correlation was found with events pointed away, 180°>Delta>90°, from the initial direction on the great circle path back to South Florida. For reverse faulting events, good correlation was found between oscillatory events and earthquakes oriented at Delta angles of 45° and 135°. There were not enough normal faulting events in our dataset to draw conclusions for this fault type. Our results indicate that oscillatory response to large tele-seismic waves depends not only on the magnitude and distance to the event, but also on the faulting type and fault orientation to the far field well.