.. as the venom is injected into the blood layer..
Can you be more anatomically specific as to what you mean by 'blood layer'?
The layer of muscle found below the skin where blood readily flows. Vipers have fangs large enough to puncture through the dermis, the lymphatic and into muscle.
As Starman points out, pressure bandages on bite site and up the limb (then back down) and immobilisation for neurotoxins (most Australian snakes) to reduce or stop flow within the lymphatic system.
Covering bandages and control of blood flow within the body (not cessation through a torniquet) for hemotoxins from Vipers like Rattlesnakes. A hemotoxin bite will swell quickly and generate significant pain sensations - the swelling prevents pressure bandages from being as effective on the bite site as you may need to remove them as the bite site swells. In this case a pressure bandage to control blood flow upstream through the limb is worthy (but NOT a torniquet). Pressure and immobilisation are again the trick, but not necessarily the bite site due to swelling.
...There are other deciding factors such as what type of toxin..eg: neurotoxin(elapids) Vs haemotoxin(vipers). but it's not always that simplistic, for some vipers can deliver neurotoxin and some elapids haemotoxin.
The types of venom work very differently and whilst both are bad, neurotoxins will kill faster with little other visible damage whilst hemotoxins do more visible damage through localised necrosis, whilst killing slowly.
Brown snakes make no noise and the strike is laser fast with little or no real feeling, less than a blackberry sting.
Rattlesnakes let you know you are too close, are fast and apparently there is a distinct 'tap' (probably because of the larger puncture).