Do you want users to have access to the entire local disk or just specific folder(s) on it?
What I would do is create a user group on your Windows server (assuming it's windows your using) and make all those users running this application a member of this security group. Then give this security group access to the local disk/folder(s) as required.
1. From your domain controller server in Active Directory for Users and Computers you need to select Action > New > Group.
2. Enter a name for the group (maybe use a short name of the application they are using to easily identify its purpose)
3. Group scope should be Global and Group Type should be Security.
4. Click OK.
5. Locate the group you have just created in Active Directory, it will be in Users.
6. Double click on the group to display its properties.
7. Enter a brief description.
8. Click on the Members tab.
9. Click Add and enter the username(s) of those users you need. (i.e. jsmith; dfred) seperate user names with ; (semicolons).
10 Click OK.
11. Now you can go to each PC, log on as administrator and locate the folder(s) where access is required.
12 Right click the folder and select Sharing and Security
13. Click on the Security tab and click Add, enter the name of the security group you created on Active Directory and click OK and select the permissions as required.
You can use group policy editor to create this if you want.