Here is the example in docs:
// with query, resulting in /register?plan=private
router.push({ path: 'register', query: { plan: 'private' }})
Ref: https://router.vuejs.org/en/essentials/navigation.html
As mentioned in those docs, router.replace works like router.push
So, you seem to have it right in your sample code in question. But I think you may need to include either name or path parameter also, so that the router has some route to navigate to. Without a name or path, it does not look very meaningful.
This is my current understanding now:
- queryis optional for router - some additional info for the component to construct the view
- nameor- pathis mandatory - it decides what component to show in your- <router-view>.
That might be the missing thing in your sample code.
EDIT: Additional details after comments
Have you tried using named routes in this case? You have dynamic routes, and it is easier to provide params and query separately:
routes: [
    { name: 'user-view', path: '/user/:id', component: UserView },
    // other routes
]
and then in your methods:
this.$router.replace({ name: "user-view", params: {id:"123"}, query: {q1: "q1"} })
Technically there is no difference between the above and this.$router.replace({path: "/user/123", query:{q1: "q1"}}), but it is easier to supply dynamic params on named routes than composing the route string. But in either cases, query params should be taken into account. In either case, I couldn't find anything wrong with the way query params are handled.
After you are inside the route, you can fetch your dynamic params as this.$route.params.id and your query params as this.$route.query.q1.