Smartphones link to all kinds of local information. Terms like “near me” “closest” and “nearby” are rapidly growing into the most popular search terms
Source: Build Your Business with "Near Me" Search
Not all of us have a brick and mortar business to apply a physical address to for this "near me" search idea. However, it can still work for you and your site.
Consider your content as a resource. First, the topic. It may be a physical object like electronics, fashion, etc. Or, an idea, hobby, like collecting stamps, help for hoarders, etc. The "near me" plan will still work for your site, and you.
Think about the resource you can build for readers who want local content and resources. Not just location but topic too. What other relevant or related topics could people be searching for in your niche?
If your site is about an idea or hobby find all the local resources and list them. Local to you is the easiest and most relevant list you can make. Not only can you find resources via Google search but you can talk to people in the community and find resources Google hasn't found or not available online.
If you are writing about fashion, electronics or another niche topic you can also build up a list of resources for local search/ readers. Promote your resource as location based. Even if you just make it a page on your site, or a post, rather than turning your site into a local resource - you can still catch the "near me" searchers - and give them what they are looking for.