In a large bowl, combine the warm water, balsamic vinegar, and 1 tablespoon of sea salt. Stir until the salt is dissolved.
Add the pork chops to the brine, making sure they are fully submerged. Cover the bowl with plastic wrap and refrigerate for at least 1 hour (or up to 4 hours).
In a small bowl, mix together the flour, 1 teaspoon of sea salt, black pepper, garlic powder, and smoked paprika.
Remove the pork chops from the brine and pat them dry with paper towels. Dredge each chop in the seasoned flour mixture, shaking off any excess.
Heat the olive oil in a large skillet over medium-high heat. Once hot, add the pork chops to the skillet and cook for 7 to 8 minutes on each side or until browned and cooked through. Pork chops are done when the internal temperature registers at 145°F. Remove the pork chops from the skillet and set them aside on a plate.
In the same skillet, add the unsalted butter, water, brown sugar, and soy sauce. Stir to combine and bring the mixture to a simmer. Cook for 1 to 2 minutes, or until the sauce has thickened slightly.
Add the pork chops back to the skillet, spoon the sugar sauce over them, and continue to cook over low heat for another 2 to 3 minutes, or until the pork chops are glazed and the sauce has thickened to your liking.
Transfer the pork chops to a serving platter and garnish with fresh chopped herbs.
Spoon the sauce on the pork and enjoy.