Is adjudication servicing to resolve small payment disputes and provide cash flow

We were recently required to run a small (circa £40k) dispute through the adjudication process for one of our clients. The dispute itself was fairly simple and comprised of the usual storey of a groundworks subcontractor having undertaken instructed works and subsequently being ignored by the main contractor. The subcontractor unfortunately hadn’t received a payment certificate and hadn’t issued an invoice to enable us (or their solicitors) to allow a statutory demand or similar to be served.