Abstract
Harmonic Earth tide components in well water levels have been used to
estimate hydraulic and geomechanical subsurface properties. However, the
validity of various methods based on analytical solutions has not been
established. First, we review the theory and examine the latest
analytical solution used to relate well water levels to Earth tides.
Second, we develop and verify a novel numerical model coupling
hydraulics and geomechanics to Earth tide strains. Third, we assess
subsurface conditions over depth for a range of realistic properties.
Fourth, we simulate the well water level response to Earth tide strains
within a 2D poroelastic layered aquifer system confined by a 100 m thick
aquitard. We find that the analytical solution matches two observations
(amplitudes and phases) to multiple unknown parameters leading to
non-unique results. We reveal that undrained and confined conditions are
necessary for the validity of the analytical solution. This occurs for
the dominant M_2 frequency at depths >50 m and requires
specific storage at constant strain of Sε ≥
10-6 m-1, in combination with
hydraulic conductivity of the aquitard kl ≥
5*10-5 ms-1 and aquifer ka ≥
10-4 ms-1. We further illustrate
that the analytical solution is valid in unconsolidated systems, whereas
consolidated systems require additional consideration of the Biot
modulus. Overall, a priori knowledge of the subsurface system supports
interpretation of the groundwater response. Our results improve
understanding of the effect of Earth tides on groundwater systems and
its interpretation for subsurface properties.