"substantially documented" is correct and usable in written English.
You can use it to emphasize that an event or idea is supported by considerable evidence or reliable sources. For example, "The impacts of global warming are substantially documented in the scientific literature."
The selected covariates have also been substantially documented in the financial development literature (Osabuohien and Efobi 2013; Huang 2005; Asongu 2014b; Asongu 2015).
Although the pesticides and analytical methods may vary substantially, documented method performance is fundamental to all studies.
The malarial lipid composition has been substantially documented for P. falciparum and P. knowlesi at their blood stages [ 7- 9].
Recovery of cattle from natural infection of WA-MCF is not fully understood or substantially documented, although there are existing reports of recovery from experimental infection [ 9].
There is an increasing demand to stay fit and to be able to engage in physical activity irrespective of age, and the general health benefits of this have been substantially documented.
It is important to note that we have presented only those steps in the pathogenesis of neonatal sepsis that have been substantially documented, while some others remain to be further investigated.
Basically, I asserted that Allais' effect was more important than his paradox, despite the fact that it was substantially less well documented and understood.
The demand for global health electives among medical students and residents has grown substantially, yet perspectives of international hosts are not well documented.
It is well documented that studies with non-significant or negative results are substantially less likely to be submitted for publication[ 2, 3].
It is well documented that certain patient characteristics, such as age and cognitive status, substantially influence post-fracture outcomes.
It is well documented that the probability of children and adolescents acquiring nonoptimal health behaviors and developmental problems increases substantially in the presence of ineffective parenting practices.
