Energy deposition in planet Earth due to gravitational waves The gravitational wave detected by the LIGO observatory acted on planet Earth streching and shrinking it a little bit. I assume that not all of this action was fully elastic and that some energy of the gravitational wave was lost by the passage through planet Earth.

Are there some scientific estimates of how much energy was deposited in planet Earth by this gravitational wave?

Are there estimates how much energy is in total deposited by gravitational waves in planet Earth per year?
Don't know about the energy transfer but from a rough assumption we can calculate the energy amount that actually passed through Earth depending on the mass converted and the distance of the event. The energy absorbed by Earth would be far less than that obviously.

The measured event was two black holes merging with a total mass loss of $3 M_{\odot}$. While the distance for that event was calculated to $1.3*10^9 ly$.

With comparing the total energy released (assuming full conversion of mass to gravitational wave energy) over the released area:

$$
E_{Earth} = \pi r_{Earth}^2*\frac{m_{conv}c^2}{4\pi r_{dist}^2}
$$
$$
E_{Earth} \approx (6378km)^2*\frac{3M_{\odot}*c^2}{4*(1.3*10^9years*c)^2}
$$
$$
E_{Earth} \approx 4.0*10^{13}m^2*\frac{5.7*10^{30}kg}{6.72*10^{33}s^2}
$$
$$
E_{Earth} \approx 3.39 * 10^{10}J
$$

So the maximum amount of energy passing through earth would have been roughly $34 GJ$. That is about the kinetic energy of three Boeing 747 in flight - or neglectable on a planetary scale.

So even IF the total energy would have been absorbed by Earth, the amount would still have been - not much.