The phrase 'has been observed through' is correct and usable in written English.
You can use it when you are talking about something that has been observed or noticed, typically through some type of research or data. For example, "It has been observed through various studies that economic inequality has increased over the past decade."
We are monitoring volcanic activity using V-net observation, and no obvious increase or decrease in activity has been observed through the time of this paper submission (September 2016).
It has been observed through simulations that these effects are, indeed, negligible.
The evolution of nanoparticles from AuCl4 − ions has been observed through monitoring the UV-visible spectra of synthesized Au nanoparticles.
Complexity of parametric variations involved has been observed through change in bandwidth and realized gain of proposed MPLDA.
Considerable variation of its free volume size has been observed through the ortho-positronium pick-off component annihilation results.
It has been observed through simulations in [22] that, under different network settings, the -hop interference model with can better capture the network interference constraints.
Different stages of microstructural evolution have been observed through a thermal process from room temperature to 1500 °C in a conventional furnace.
Extent and severity of forest structure alteration have been observed through a combination of aerial survey, satellite remote-sensing, and in situ measurements.
During the 2011 andesitic eruptions of Kirishima-Shinmoe-dake Kirishima-Shinmoe-dake Kirishima-Shinmoe-dakeluding sub-Plinian eruptions, volcanoan explosinns, and lava extrusion have been observed through various measurements (e.g., Nakada et al. [2013]).
Recently, inner debris disks of refractory grains have been observed through interferometry around Vega, τ Cet, ζ Aql, and α Leo, and Formalhaut (Absil et al., 2006, 2008; Di Folco et al., 2007; Akeson et al., 2009).
The growth and development of ICNs have been observed through infancy into adulthood [ 9, 24- 26].
