"atthedepthofinterest"bottomholepressure:eitherapressureexertedbyacolumnoffluidcontainedinthewellboreortheformationpressureatthedepthofinterest.井底压力：既是井眼中液柱压力施加的，也是在XX深度地层

Question

"at the depth of interest"
bottom hole pressure:either a pressure exerted by a column of fluid contained in the wellbore or the formation pressure at the depth of interest.
井底压力：既是井眼中液柱压力施加的，也是在XX深度地层压力施加的
显然不是“以浓厚的兴趣”，
interest,

Answer 1

在那(个)深度的兴趣.(不完整句子)
interest = 兴趣.
在这个情况下呢; 却代表你的"目标".
" the formation pressure at the depth of interest"
压力形成在于你所"感兴趣的目标".
因为兴趣/关心的也会是你想得到的."depth of interest" - 你所关心的深度.