How do miracles of heaven invading earth transpire?

Can we see more of this on a regular basis?  Yes, most assuredly. 

The Christian believer is seated with Jesus, one with Jesus and given His authority over darkness. In our unity with Him we are seated beside the Father with Christ in heavenly places, from where He rules over all things.

Ephesians 2:4-10

“But because of his great love for us, God, who is rich in mercy, made us alive with Christ even when we were dead in transgressions—it is by grace you have been saved. And God raised us up with Christ and seated us with him in the heavenly realms in Christ Jesus, in order that in the coming ages he might show the incomparable riches of his grace, expressed in his kindness to us in Christ Jesus. For it is by grace you have been saved, through faith—and this is not from yourselves, it is the gift of God— not by works, so that no one can boast. For we are God’s handiwork, created in Christ Jesus to do good works, which God prepared in advance for us to do.”

See what He’s done for us?  See where you are now seated?  Wow!  

"For it is by grace you have been saved, through faith—and this is not from yourselves, it is the gift of God" Ephesians 2:8

From the place of communion with the Lord, where we are seated, we are to bring His Kingdom into this one. Heaven is meant to impact earth through us! We are one with Jesus, the victorious one, the supreme one before the Father. 

Our appeal, audience, and unity is only through Jesus.  He is the victorious man. We can’t live or pray or function with anything other than victory in mind. 

How can a person enter into Jesus and into defeat at the same time? He is the one who has the power and authority to bring good out of all bad for the glory of Father. Jesus is the victor over the earth. The supreme leader. The superior man. He is the superior prayer coach.

We reign in life through Him, because He reigns in life in the earth (Romans 5:17).

We do this not just in praying to heaven, but in praying from heaven, seated with the perfect man, seated in Him, one with him, on the right hand of Father. Jesus saw this coming, so He instructed His disciples, to pray for the Kingdom of heaven to envelop the earth. 

Matthew 6:9-10

 “This, then, is how you should pray: ‘Our Father in heaven,
hallowed be your name, your kingdom come,
your will be done, on earth as it is in heaven.”

If a prayer does not carry the mandate of ‘thy Kingdom come – on earth as it is in heaven’ we have forgotten who we are married to – who our divine lover is and what He has called us to do.