Problem #$1$: A porous medium would have a permeability of $1D$ when a fluid having viscosity of $1cp$ flows through a cross$-$sectional flow area of $1c{m}^2$ at a rate of $1c\frac{m^3}{sec}$ under a pressure gradient of $1at\frac{m}{c}m$ which can be written as Darcy $=\frac{(c\frac{m^3}{sec})(cp)}{(c{m}^2)(at\frac{m}{c}m)},$ whereas in oilfield units, Darcy's law can be expressed as follows: $q=-0\mathrm{.}001127\frac{kA}{L}P$ where, $q$ is bbl$/$day$,k$ is in $mD,P$ is in psi, $A$ is in $f{t}^2,L$ is in $ft,$ and $$ is cp$.$ Develop the coefficient $0\mathrm{.}001127$ of linear flow system when converting form lab units to oilfield units.