Sale Of Stock, Number Of Days Following Initial Public Offering, Threshold

No definition available.

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- Definition

Temporary Equity, Conversion, Shares

+ References

No definition available.

+ Details

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- Definition

The cash outflow for cost incurred directly with the issuance of an equity security.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 15
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-15

+ Details

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Period Type:	duration

- Definition

Cash received on stock transaction after deduction of issuance costs.

+ References

No definition available.

+ Details

Name:	us-gaap_SaleOfStockConsiderationReceivedOnTransaction
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The number of shares issued or sold by the subsidiary or equity method investee per stock transaction.

+ References

No definition available.

+ Details

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- Definition

Per share amount received by subsidiary or equity investee for each share of common stock issued or sold in the stock transaction.

+ References

No definition available.

+ Details

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Data Type:	dtr-types:perShareItemType
Balance Type:	na
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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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- Details

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- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=us-gaap_OverAllotmentOptionMember
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- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=bkv_PublicOfferingMember
Namespace Prefix:
Data Type:	na
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Business and Basis of Presentation - Initial Public Offering (Details) $ / shares in Units, $ in Thousands				12 Months Ended
	Dec. 03, 2025 USD ($) $ / shares shares	Oct. 28, 2024 USD ($) shares	Sep. 27, 2024 USD ($) D $ / shares shares	Dec. 31, 2024 USD ($)	Dec. 31, 2023 USD ($)
Subsidiary, Sale of Stock [Line Items]
Payments of stock issuance costs				$ 3,879	$ 2,901
Temporary equity, conversion, shares (in shares) \| shares			5,026,638
IPO
Subsidiary, Sale of Stock [Line Items]
IPO shares (in shares) \| shares			15,000,000
Sale of stock, price per share (in USD per share) \| $ / shares			$ 18
Payments of stock issuance costs			$ 16,200
Aggregate purchase price			$ 253,800
Over-Allotment Option
Subsidiary, Sale of Stock [Line Items]
IPO shares (in shares) \| shares		701,003	2,250,000
Payments of stock issuance costs		$ 800
Aggregate purchase price		$ 11,900
Number of days following initial public offering, threshold \| D			30
Public Offering
Subsidiary, Sale of Stock [Line Items]
IPO shares (in shares) \| shares	6,900,000
Sale of stock, price per share (in USD per share) \| $ / shares	$ 26
Payments of stock issuance costs	$ 9,300
Aggregate purchase price	$ 170,100