The parable of the wheat and weeds (Mat 13:24-30) provides a similar picture and in that parable Jesus himself explains the imagery. In that parable, "the children of the evil one" are consumed with fire at the end of the age. Who are they?
They are the same ones Christ taught about here:
Luke 17:24-37
King James Version
24 For as the lightning, that lighteneth out of the one part under heaven, shineth unto the other part under heaven; so shall also the Son of man be in his day.
25 But first must he suffer many things, and be rejected of this generation.
26 And as it was in the days of Noe, so shall it be also in the days of the Son of man.
27 They did eat, they drank, they married wives, they were given in marriage, until the day that Noah entered into the ark, and the flood came, and destroyed them all.
28 Likewise also as it was in the days of Lot; they did eat, they drank, they bought, they sold, they planted, they builded;
29 But the same day that Lot went out of Sodom it rained fire and brimstone from heaven, and destroyed them all.
30 Even thus shall it be in the day when the Son of man is revealed.
31 In that day, he which shall be upon the housetop, and his stuff in the house, let him not come down to take it away: and he that is in the field, let him likewise not return back.
32 Remember Lot's wife.
33 Whosoever shall seek to save his life shall lose it; and whosoever shall lose his life shall preserve it.
34 I tell you, in that night there shall be two men in one bed; the one shall be taken, and the other shall be left.
35 Two women shall be grinding together; the one shall be taken, and the other left.
36 Two men shall be in the field; the one shall be taken, and the other left.
37 And they answered and said unto him, Where, Lord? And he said unto them, Wheresoever the body is, thither will the eagles be gathered together.
And the same ones taught about here:
Ezekiel 39
King James Version
1 Therefore, thou son of man, prophesy against Gog, and say, Thus saith the Lord God; Behold, I am against thee, O Gog, the chief prince of Meshech and Tubal:
2 And I will turn thee back, and leave but the sixth part of thee, and will cause thee to come up from the north parts, and will bring thee upon the mountains of Israel:
3 And I will smite thy bow out of thy left hand, and will cause thine arrows to fall out of thy right hand.
4 Thou shalt fall upon the mountains of Israel, thou, and all thy bands, and the people that is with thee: I will give thee unto the ravenous birds of every sort, and to the beasts of the field to be devoured.
And here:
Revelation 19:17-21
King James Version
17 And I saw an angel standing in the sun; and he cried with a loud voice, saying to all the fowls that fly in the midst of heaven, Come and gather yourselves together unto the supper of the great God;
18 That ye may eat the flesh of kings, and the flesh of captains, and the flesh of mighty men, and the flesh of horses, and of them that sit on them, and the flesh of all men, both free and bond, both small and great.
19 And I saw the beast, and the kings of the earth, and their armies, gathered together to make war against him that sat on the horse, and against his army.
20 And the beast was taken, and with him the false prophet that wrought miracles before him, with which he deceived them that had received the mark of the beast, and them that worshipped his image. These both were cast alive into a lake of fire burning with brimstone.
21 And the remnant were slain with the sword of him that sat upon the horse, which sword proceeded out of his mouth: and all the fowls were filled with their flesh.
And here:
Revelation 20:7-9
King James Version
7 And when the thousand years are expired, Satan shall be loosed out of his prison,
8 And shall go out to deceive the nations which are in the four quarters of the earth, Gog, and Magog, to gather them together to battle: the number of whom is as the sand of the sea.
9 And they went up on the breadth of the earth, and compassed the camp of the saints about, and the beloved city: and fire came down from God out of heaven, and devoured them.
All of these speak of physical judgment on unbelievers.
They are killed physically.
Then they are resurrected:
Revelation 20:5
King James Version
5 But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection.
Here is what they are resurrected unto:
Revelation 20:11-15
King James Version
11 And I saw a great white throne, and him that sat on it, from whose face the earth and the heaven fled away; and there was found no place for them.
12 And I saw the dead, small and great, stand before God; and the books were opened: and another book was opened, which is the book of life: and the dead were judged out of those things which were written in the books, according to their works.
13 And the sea gave up the dead which were in it; and death and hell delivered up the dead which were in them: and they were judged every man according to their works.
14 And death and hell were cast into the lake of fire. This is the second death.
15 And whosoever was not found written in the book of life was cast into the lake of fire.
Those not found in the Book of Life will be cast into the Lake of Fire. The physical aspect of judgment is over, for the current universe has passed away (v.11).
So while we do see a physical fulfillment of Christ's teaching in regards to wheat and tares (and chaff, and trees who's fruit is evil), we also see the eternal aspect of the destiny of the Wheat and Tares:
Matthew 3:11-12
King James Version
11 I indeed baptize you with water unto repentance. but he that cometh after me is mightier than I, whose shoes I am not worthy to bear: he shall baptize you with the Holy Ghost, and with fire:
12 Whose fan is in his hand, and he will throughly purge his floor, and gather his wheat into the garner; but he will burn up the chaff with unquenchable fire.
Just as eternal life is spoken of in everlasting terms, even so is the damnation of the lost. Two choices of baptism spoken of here, one unto life, and one unto damnation:
John 5:29
And shall come forth; they that have done good, unto the resurrection of life; and they that have done evil, unto the resurrection of damnation.
The Lake of Fire stands outside of this creation, as is seen above, for it remains while this universe has passed away. It is not part of the New heavens and Earth God will create, but is a separate fate for those who had their parts removed from the Book of Life.
Matthew 13:40-43
King James Version
40 As therefore the tares are gathered and burned in the fire; so shall it be in the end of this world.
41 The Son of man shall send forth his angels, and they shall gather out of his kingdom all things that offend, and them which do iniquity;
42 And shall cast them into a furnace of fire: there shall be wailing and gnashing of teeth.
43 Then shall the righteous shine forth as the sun in the kingdom of their Father. Who hath ears to hear, let him hear.
Two applications to be understood, the physical, and the eternal.
Just as we understand the Prophecy of Christ had two applications concerning His coming.
The same thing is taught by the Lord in all of His teachings, that the wicked will not enter the Kingdom of God. This means the wicked will not enter into the Millennial Kingdom, nor will they enter into the Eternal State, the New heavens and Earth God will create.
They will be in everlasting torment in the Lake of Fire:
Revelation 20:10
And the devil that deceived them was cast into the lake of fire and brimstone, where the beast and the false prophet are, and shall be tormented day and night for ever and ever.
This is why the flame cannot be quenched. Because it is, as Christ taught, everlasting punishment. The shame and everlasting contempt will not be from those in the Eternal State, it will be those who reject God's will and receive not the Life Christ came to bestow through belief in Him:
Daniel 12:1-2
King James Version
1 And at that time shall Michael stand up, the great prince which standeth for the children of thy people: and there shall be a time of trouble, such as never was since there was a nation even to that same time: and at that time thy people shall be delivered, every one that shall be found written in the book.
2 And many of them that sleep in the dust of the earth shall awake, some to everlasting life, and some to shame and everlasting contempt.
God bless.