$HCl$ acid solution $(15\%)$ is used for an acidizing project to a carbonate reservoir

$($Dolomite$).$ The chemical reaction between the acid solution and the dolomite is

shown below. The available information is given below:

$4HCl+$CaMg$(C{O}_3{)}_{2}CaC{l}_2+MgC{l}_2+2H_{2}O+2C{O}_2$

Depth, D

wellbore radius, rw

Fracture gradient, Gf

Porosity

Permeability

Skin factor

Skin zone radius, $r$ s

Reservoir pressure

Reservoir radius, re

Reservoir thickness, $h=hp(100\%$ perforated$)$

Perforation density

Perforation diameter, dp

Discharge coefficient, $CD$

Acid solution density

Acid solution viscosity, ua

Acid friction loss

Specific mud acid volume, $$

Dolomite density

Mw$($Dolomite$)$

$Mw(HCl$ acid solution$)$

Fractal dimensionality

Acid diffusivity

It is required to calculate:

Surface injection rate

Surface injection pressure

The injected acid volume and the injection time

The radius of the wormholes

The skin factor after the acidizing

The volume of the reservoir rock that could be dissolved by the acid solution

The new porosity after the acidizing

The stimulation ratio