Document And Entity Information Statistical Measurement [Axis] Note To Financial Statement Details Textual Significant Accounting Policies Note 3 - Revenue Recognition us-gaap_IncomeTaxExpenseBenefit Income tax expense ecd_NonRule10b51ArrTrmntdFlag Non-Rule 10b5-1 Arrangement Terminated [Flag] Note 4 - Leases ecd_NonRule10b51ArrAdoptedFlag Non-Rule 10b5-1 Arrangement Adopted [Flag] Note 6 - Credit Facility Trading Arrangements, by Individual [Table] Note 9 - Shareholders' Equity Material Terms of Trading Arrangement [Text Block] Note 10 - Asset Retirement Obligations Note 12 - Income (Loss) Per Share Crude Oil [Member] Note 14 - Other Current Assets and Accounts Payable and Accrued Liabilities Note 15 - Supplemental Disclosures of Cash Flow Information us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation Settle tax withholding obligations for restricted stock awards (in shares) Note 3 - Revenue Recognition - Disaggregation of Revenue (Details) Minimum [Member] Note 3 - Revenue Recognition - Schedule of Concentration Risk (Details) Note 4 - Leases - Lease Cost (Details) Statistical Measurement [Domain] Note 4 - Leases - Schedule of Operating Lease Maturity (Details) Maximum [Member] Over-Allotment Option [Member] Note 6 - Credit Facility - Schedule of Debt (Details) Note 9 - Shareholders' Equity - Schedule of Options Activity (Details) Note 9 - Shareholders' Equity - Valuation Assumptions (Details) Note 9 - Shareholders' Equity - Schedule of Nonvested Share Activity (Details) Note 9 - Shareholders' Equity - Restricted Stock Activity (Details) Note 9 - Shareholders' Equity - Activity in Share Repurchase Program (Details) Accounts payable and accrued liabilities us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities Note 10 - Asset Retirement Obligations - Schedule of Asset Retirement Obligations (Details) Note 12 - Income (Loss) Per Share - Schedule of Loss Per Share (Details) Note 14 - Other Current Assets and Accounts Payable and Accrued Liabilities - Schedule of Other Current Assets (Details) Note 14 - Other Current Assets and Accounts Payable and Accrued Liabilities - Schedule of Accounts Payable and Accrued Liabilities (Details) Synergy Offshore LLC [Member] Information pertaining to the related parties. Note 15 - Supplemental Disclosures of Cash Flow Information - Supplemental Disclosures of Cash Flow Information (Details) Notes To Financial Statements Schedules of Concentration of Risk, by Risk Factor [Table Text Block] Notes To Financial Statements [Abstract] us-gaap_InterestCostsCapitalized Interest Costs Capitalized Counterparty Name [Axis] us-gaap_EffectiveIncomeTaxRateContinuingOperations Effective Income Tax Rate Reconciliation, Percent Granted, weighted average exercise price (in dollars per share) Exercised, weighted average exercise price (in dollars per share) Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price (in dollars per share) srt_GasAndOilAreaUndevelopedNet Oil and Gas, Undeveloped Acreage, Net (Acre) us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments Loss (gain) on marketable equity securities Counterparty Name [Domain] us-gaap_SharesOutstanding Balance (in shares) Balance (in shares) Award Type [Axis] Adjustments to reconcile net loss to net cash (used in) provided by operating activities: Plan Name [Axis] us-gaap_Liabilities Total liabilities Plan Name [Domain] us-gaap_AllocatedShareBasedCompensationExpense Share-Based Payment Arrangement, Expense us-gaap_LiabilitiesAndStockholdersEquity Total liabilities and shareholders’ equity bsin_DebtInstrumentUnusedBorrowingFeePercent Debt Instrument, Unused Borrowing Fee, Percent The percent related to the unused borrowing amount of the debt instrument. bsin_EquityAgreementMaximumAmount Equity Agreement, Maximum Amount The maximum value for the equity agreement. Stock-based compensation us-gaap_ShareBasedCompensation Subsequent Event [Member] bsin_EquityAgreementStructuringFee Equity Agreement, Structuring Fee The structuring fee related to the equity agreement. bsin_EquityAgreementBeneficialownershipBlockerPercent Equity Agreement, Beneficial-Ownership Blocker, Percent Represents the percent of beneficial-ownership blocker for the equity agreement. bsin_EquityAgreementCashCommitmentFee Equity Agreement, Cash Commitment Fee The cash commitment fee for the equity agreement. bsin_EquityAgreementDiscountOnStockPricePercent Equity Agreement, Discount on Stock Price, Percent The percent of discount on the stock price for the equity agreement. Common Stock Purchase Agreement [Member] Represents the common stock purchase agreement. bsin_EquityAgreementOutstandingSharesPercent Equity Agreement, Outstanding Shares, Percent Represents the percent of outstanding shares allowed for the equity agreement. Oil and Gas, Property and Equipment [Text Block] Changes in operating assets and liabilities: us-gaap_PreferredStockSharesAuthorized Preferred Stock, Shares Authorized (in shares) Condensed Cash Flow Statement [Table] us-gaap_IncreaseDecreaseInUnprovedOilAndGasProperty Oil and natural gas sales receivable Energy [Domain] Energy [Axis] us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect Net change in cash and equivalents New Accounting Pronouncements, Policy [Policy Text Block] us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations Cash and equivalents, beginning of period Cash and equivalents, end of period Share-Based Payment Arrangement, Tranche One [Member] Synergy Purchase Agreement [Member] Relates to the Synergy Purchase Agreement. Statement [Table] us-gaap_EnvironmentalRemediationExpense Environmental Remediation Expense, before Recovery Sage Road Capital, LLC [Member] Information by name of issuer of investment. Prepaid insurance Property [Member] Pertains to the properties acquired. bsin_PaymentsForRepurchaseOfCommonStockRelatedParty Related party share repurchase The cash outflow to reacquire common stock during the period. Mergers, Acquisitions and Dispositions Disclosures [Text Block] Share-Based Payment Arrangement, Tranche Two [Member] bsin_StockRepurchasedDuringPeriodValueRelatedParty Shares repurchased from related party Equity impact of the value of stock that has been repurchased during the period and has not been retired and is not held in treasury. Share-Based Payment Arrangement, Tranche Three [Member] bsin_StockRepurchasedDuringPeriodSharesRelatedParty Shares repurchased from related party (in shares) Number of shares that have been repurchased during the period and have not been retired and are not held in treasury. us-gaap_DebtInstrumentBasisSpreadOnVariableRate1 Debt Instrument, Basis Spread on Variable Rate us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity Line of Credit Facility, Maximum Borrowing Capacity Release of Produced Fluids From Gathering Line [Member] Represents release of produced fluids from a gathering line. Cost Collar Contract [Member] Represents cost collar contract. bsin_RecordedThirdpartyEnvironmentalRecoveriesDeductiblePerOccurrence Recorded Third-Party Environmental Recoveries, Deductible Per Occurrence Amount of deductible per occurrence for third-party recoveries related to environmental remediation obligations. Employees and Directors [Member] Represents employees and directors. Consultants [Member] Represents consultants. us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber Non-vested restricted stock (in shares) Non-vested restricted stock (in shares) us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue Non-vested restricted stock, weighted average grant date fair value (in dollars per share) Non-vested restricted stock, weighted average grant date fair value (in dollars per share) srt_StockRepurchaseProgramAuthorizedAmount1 Stock Repurchase Program, Authorized Amount Granted (in shares) Granted, weighted average grant date fair value (in dollars per share) Environmental Remediation Site [Domain] The 2012 Equity Plan [Member] Represents 2012 Equity Plan. Environmental Remediation Site [Axis] Shares, Issued for Services bsin_EquityOfferingCommissionPercentageOfClosingSalesPrice Equity Offering, Commission, Percentage of Closing Sales Price Pertains to a percentage of closing sales price. Shares, Issued for Services (in shares) Product and Service [Domain] Product and Service [Axis] Ownership [Axis] Ownership [Domain] Credit facility Vested, weighted average grant date fair value (in dollars per share) us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount Deferred offering costs charged to additional paid-in capital The amount of stock deferred offering costs that were charged to additional paid in capital during a noncash or partial noncash transaction. us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod Vested (in shares) us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue Total lease payments Weighted average discount rate Granted, Weighted Average Grant Date Fair Value (in dollars per share) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value (in dollars per share) 2026 us-gaap_ProceedsFromIssuanceOfDebt Proceeds from Issuance of Debt Lease operating expenses Exercisable, options (in shares) Lessee, Operating Lease, Liability, to be Paid, Maturity [Table Text Block] Schedule of Asset Retirement Obligations [Table Text Block] Exercisable, weighted average exercise price (in dollars per share) us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Number (in shares) Outstanding, options (in shares) Outstanding, options (in shares) Commitments and Contingencies Disclosure [Text Block] us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price (in dollars per share) Outstanding, weighted average exercise price (in dollars per share) Outstanding, weighted average exercise price (in dollars per share) 2027 Exploration expense Statement [Line Items] Common stock, issued (in shares) Common stock, outstanding (in shares) Award Type [Domain] Risk-free interest rate Common stock, authorized (in shares) Common Stock, Shares Authorized (in shares) Other Current Assets, Accounts Payable, and Accrued Liabilities [Text Block] The entire disclosure around other current assets, accounts payable, and accrued liabilities. Expected Volatility Expected dividend yield Schedule of Accounts Payable and Accrued Liabilities [Table Text Block] Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table] Common stock, $0.01 par value; 245,000,000 shares authorized; 52,487,506 and 34,405,143 shares issued and outstanding at June 30, 2026 and December 31, 2025, respectively Proceeds from Issuance of Common Stock Proceeds from Issuance of Common Stock Accounts payable and accrued liabilities Total accounts payable and accrued expenses us-gaap_PolicyTextBlockAbstract Accounting Policies us-gaap_DisclosureTextBlockAbstract Notes to Financial Statements us-gaap_TableTextBlock Notes Tables Accounts payable Schedule of Cash Flow, Supplemental Disclosures [Table Text Block] Subsequent Events [Text Block] Concentration Risk Type [Axis] Borrowings on credit facility bsin_GainLossOnCommodityDerivative Commodity derivative settlements received Represents the amount of gain (loss) on commodity derivative. Related Party [Member] bsin_SharesWithheldToSettleTaxWithholdingObligationsForRestrictedStockAwardsValue Settle tax withholding obligations for restricted stock awards Represents the monetary amount of shares withheld to settle tax withholding obligations for restricted stock. Oil Sales[Member] Relating to Oil Sales. Right-of-use asset amortization us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount Less: imputed interest Long-term lease obligation, net of current portion Long-term lease obligation Outstanding, weighted average remaining term (Year) Total lease liability us-gaap_OperatingLeaseLiability Total lease liabilities Accrued benefits and other Current lease obligation Current lease obligation Interest Payable Expected term (Year) Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term (Year) Production taxes payable Exercisable, weighted average remaining term (Year) Concentration Risk Type [Domain] Capitalization, Equity [Table] Offsetting Assets [Table] Statement of Stockholders' Equity [Abstract] Statement of Cash Flows [Abstract] Shareholders’ equity: Equity Components [Axis] Mid-Continent [Member] Relating to Mid-Continent. Purchaser A [Member] Relating to the Purchaser A. Payments on operating lease liability Rockies [Member] Relating to the Rockies. Equity Component [Domain] Purchaser B [Member] Relating to Purchaser B. Equity [Text Block] Additional Paid-in Capital [Member] Retained Earnings [Member] bsin_OilAndGasPropertyCeilingTestDiscountRate Oil and Gas Property, Ceiling Test, Discount Rate Represents the discount rate used in a ceiling test for oil and gas property. Asset Acquisition [Domain] Asset Acquisition [Axis] Property and equipment, net us-gaap_AssetAcquisitionConsiderationTransferred Asset Acquisition, Consideration Transferred Credit Agreement [Member] Relating to the Credit Agreement. Subsequent Event Type [Domain] Subsequent Event [Table] Subsequent Event Type [Axis] Sale of Stock [Axis] Plugged Represents the amount of asset retirement obligations plugged during the period. Schedule of Share-Based Payment Award, Employee Stock Purchase Plan, Valuation Assumptions [Table Text Block] Schedule of Nonvested Restricted Stock Units Activity [Table Text Block] Share-Based Payment Arrangement, Option, Activity [Table Text Block] Fair Value Disclosures [Text Block] Share-Based Payment Arrangement, Option [Member] Schedule of Nonvested Share Activity [Table Text Block] Joint interest billings receivable Represents the amount of joint interest billings receivable. Current liabilities: Operating expense and oil and natural gas property accruals Represents the amount of operating expense and oil and gas property accruals. us-gaap_LiabilitiesCurrent Total current liabilities Asset retirement obligations Represents the amount of asset retirement obligation incurred. us-gaap_AccrualForEnvironmentalLossContingencies Accrual for Environmental Loss Contingencies Change in capital expenditure accruals Represents the amount of change in capital expenditure accruals during the period. Oil and natural gas sales receivables Customer Concentration Risk [Member] Marketable equity securities Evaluated oil and natural gas properties Represents the amount of proved oil and gas properties measured using the full cost method. Lease, Cost [Table Text Block] bsin_PaymentsToAcquirePropertyPlantAndEquipmentExcludingOilAndGas Property and equipment expenditures Represents the amount of payments to acquire property, plant, and equipment, excluding oil and gas. Unproved industrial gas properties, not subject to amortization Represents the amount of unproven oil and gas properties measured using the full cost method. us-gaap_GainLossOnDispositionOfAssets1 Loss on sale of assets bsin_AssetAcquisitionEquityInterestIssuedOrIssuableNumberOfShares Asset Acquisition, Equity Interest Issued or Issuable, Number of Shares (in shares) Number of shares of equity interests issued or issuable to acquire assets. Revenue Benchmark [Member] Other Commitments [Table] us-gaap_PaymentsToAcquireInvestments Payments to Acquire Investments Stock-based compensation General and administrative expenses us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest Net loss before income taxes Organization, Consolidation and Presentation of Financial Statements Disclosure and Significant Accounting Policies [Text Block] Revenue and royalties payable Amount of revenue and royalties payable, classified as current. Additional paid-in capital Debt Disclosure [Text Block] Segment Reporting, Policy [Policy Text Block] Use of Estimates, Policy [Policy Text Block] us-gaap_PaymentsToAcquireOilAndGasProperty Acquisition of industrial gas properties us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1 Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year) us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1 Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period (Month) us-gaap_PaymentsToAcquireProductiveAssets Payments to Acquire Productive Assets Shares issued, net Lessee, Operating Leases [Text Block] us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners Subsidiary, Ownership Percentage, Noncontrolling Owner Derivatives and Fair Value [Text Block] Net proceeds from sale of oil and natural gas properties The amount of net cash proceeds from the sale of oil and gas property and equipment, net. us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageRemainingContractualTerm2 Share-Based Payment Arrangement, Option, Exercise Price Range, Outstanding, Weighted-Average Remaining Contractual Term (Year) us-gaap_DebtInstrumentFaceAmount Debt Instrument, Face Amount Current assets: Acquisition of industrial gas properties Schedule of Debt [Table Text Block] us-gaap_AssetsCurrent Total current assets Shares issued, net (in shares) Stock Issued During Period, Shares, New Issues (in shares) Debt Instrument, Name [Domain] bsin_DebtInstrumentCovenantRestrictedPaymentPercentageOfExistingBorrowingBase Debt Instrument, Covenant, Restricted Payment, Percentage of Existing Borrowing Base Percentage of existing borrowing base for restricted payment under covenant of the debt instrument. Acquisition of industrial gas properties (in shares) us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period (in shares) Exercised, options (in shares) us-gaap_GainLossOnSaleOfDerivatives Gain (Loss) on Sale of Derivatives Fair Value Measurement Inputs and Valuation Techniques [Table] bsin_DebtInstrumentCovenantRatioOfConsolidatedCurrentAssetsToConsolidatedCurrentLiabilities Debt Instrument, Covenant, Ratio of Consolidated Current Assets to Consolidated Current Liabilities The ratio of consolidated current assets to consolidated current liabilities required by the debt instrument. Weighted average interest rate bsin_DebtInstrumentCovenantRatioOfTotalDebtToEbitdax Debt Instrument, Covenant, Ratio of Total Debt to EBITDAX The ratio of total debt to EBITDAX required under the debt instrument. Related and Nonrelated Parties [Axis] Shares issued to consultants Schedule of Long-Term Debt Instruments [Table] Cash Flow, Supplemental Disclosures [Text Block] Debt Instrument [Axis] Cash flows from operating activities: us-gaap_UnrealizedGainLossOnDerivatives Commodity derivatives gain us-gaap_DerivativeNonmonetaryNotionalAmountVolume Derivative, Nonmonetary Notional Amount, Volume (Barrel of Oil) Cash flows from investing activities: us-gaap_OilAndGasPropertyFullCostMethodDepletion Less accumulated depreciation, depletion and amortization us-gaap_NetCashProvidedByUsedInOperatingActivities Net cash used in operating activities us-gaap_OilAndGasPropertyFullCostMethodNet Net oil and natural gas properties Cash flows from financing activities: us-gaap_NetCashProvidedByUsedInInvestingActivities Net cash used in investing activities us-gaap_SharesIssuedPricePerShare Shares Issued, Price Per Share (in dollars per share) us-gaap_NetCashProvidedByUsedInFinancingActivities Net cash provided by financing activities Position [Axis] Position [Domain] us-gaap_CostsAndExpensesRelatedParty Costs and Expenses, Related Party Long [Member] Short [Member] Accounting Policies [Abstract] Option Indexed to Issuer's Equity, Type [Domain] Value of shares repurchased Stock Repurchased During Period, Value Share repurchased Shares repurchased (in shares) Stock Repurchased During Period, Shares (in shares) Share repurchased (in shares) Other Assets: Income Statement [Abstract] us-gaap_NumberOfOperatingSegments Number of Operating Segments us-gaap_NumberOfReportableSegments Number of Reportable Segments us-gaap_OtherAssetsMiscellaneousCurrent Other us-gaap_PaymentOfFinancingAndStockIssuanceCosts Financing costs Income Tax Contingency [Table] us-gaap_UnrecognizedTaxBenefitsPeriodIncreaseDecrease Unrecognized Tax Benefits, Period Increase (Decrease) Electrical Infrastructure Consulting Services [Member] Represents electrical infrastructure consulting services. Net loss Net loss Related Party, Policy [Policy Text Block] Policy disclosure of related party. Net loss attributable to common shareholders Committed Equity Facility [Member] Represents Committed Equity Facility. Amortization of debt issuance costs Offering costs Net Investment in Lease, Past Due [Table] Interest expense, net Deferred offering costs Income Tax Disclosure [Text Block] Restricted Stock [Member] us-gaap_RecordedThirdPartyEnvironmentalRecoveriesReceivable Recorded Third-Party Environmental Recoveries Receivable Income tax receivable Credit Agreement, First Amendment [Member] Represents the first amendment of the credit agreement. bsin_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsGrantsInPeriodGrantDateFairValue Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Grant Date Fair Value The grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology. bsin_ProceedsFromIssuanceOrSaleOfEquityNetOfIssuanceCosts Proceeds From Issuance or Sale of Equity, Net of Issuance Costs The cash inflow from the issuance or sale of equity net of stock issuance costs. us-gaap_RelatedPartyTransactionAmountsOfTransaction Related Party Transaction, Amounts of Transaction us-gaap_DerivativePriceRiskOptionStrikePrice Derivative, Price Risk Option Strike Price (in USD per Barrel of Oil) us-gaap_AssetRetirementObligationCurrent Asset retirement obligations Asset Retirement Obligation Disclosure [Text Block] Related and Nonrelated Parties [Domain] us-gaap_AssetRetirementObligation Balance, beginning of year Balance, end of period us-gaap_DeferredFinanceCostsNet Debt Issuance Costs, Net Asset retirement obligations us-gaap_AssetRetirementObligationsNoncurrent Acquired or incurred us-gaap_AssetRetirementObligationLiabilitiesSettled Sold us-gaap_AssetRetirementObligationLegallyRestrictedAssetsFairValue Asset Retirement Obligation, Legally Restricted Assets, Fair Value Accretion us-gaap_AssetRetirementObligationRevisionOfEstimate Cost and life revisions Class of Treasury Stock [Table Text Block] Vesting [Axis] Other income (expense): Statement of Financial Position [Abstract] Vesting [Domain] us-gaap_NonoperatingIncomeExpense Total other (expense) us-gaap_LiabilitiesNoncurrent Total noncurrent liabilities Oil and natural gas properties under full cost method and industrial gas properties: Noncurrent liabilities: Other assets us-gaap_PaymentsForRepurchaseOfCommonStock Repurchases of common stock Document Type Operating expenses: Document Information [Line Items] Document Quarterly Report Kevin Dome Structure [Member] Represents the Kevin Dome structure property acquired. Concentration risk percentage Helium Acreage [Member] Represents the helium acreage acquired. Weighted average lease term (years) (Year) Document Information [Table] Dilutive effect of potentially dilutive securities (in shares) Entity Interactive Data Current us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardExpirationPeriod Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Period (Year) Document Transition Report us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding Diluted weighted average common shares outstanding (in shares) us-gaap_OperatingExpenses Total operating expenses Basic weighted average common shares outstanding (in shares) us-gaap_DebtInstrumentTerm Debt Instrument, Term (Year) Derivative Instrument [Axis] Antidilutive Security, Excluded EPS Calculation [Table] Basic and diluted loss per share (in dollars per share) us-gaap_StockIssued1 Common stock issued for acquisition of industrial gas properties bsin_AssetAcqusitionAmountOfCapitalCostsIncurredRelatedToSellingParty Asset Acqusition, Amount of Capital Costs Incurred Related to Selling Party Represents the amount of capital costs that the selling party is responsible for in an asset acquisition. bsin_AssetAcquisitionPercentageOfCapitalCostsResponsibleFor Asset Acquisition, Percentage of Capital Costs Responsible for Represents the percentage of capital costs that the purchasing party is responsible for. Document Fiscal Period Focus Customer [Domain] Document Fiscal Year Focus Depreciation, depletion, accretion and amortization Amendment Flag Common Stock [Member] Impairment of oil and natural gas properties Impairment, Oil and Gas, Property with Unproved and Proved Reserves Document Period End Date Weighted average price per share (in dollars per share) Share Repurchase Program, Weighted Average Price Per Share (in dollars per share) Represents the weighted average price per share of shares repurchased in a share repurchase program. Long-Lived Asset, Class [Domain] Granted, options (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross (in shares) Legal Entity [Axis] Operating lease cost Short-term lease cost Oil and Gas, Acreage [Table] us-gaap_LeaseCost Total lease costs Entity File Number us-gaap_DerivativeFixedInterestRate Derivative, Fixed Interest Rate Entity Tax Identification Number srt_AverageSalesPrices Oil and Gas, Average Sale Price Per Unit (in USD per Barrel of Oil) bsin_AssetsNoncurrentExcludingOilAndGasPropertyFullCostMethodNet Total other assets Represents the amount of noncurrent assets excluding oil and gas property. Disaggregation of Revenue [Table Text Block] Disaggregation of Revenue [Table] Entity [Domain] Entity Central Index Key Entity Registrant Name Entity Current Reporting Status Business Combination [Table] Commodity derivative gain, net Derivative, Gain (Loss) on Derivative, Net Entity Incorporation, State or Country Code bsin_StockIssuedDuringPeriodSharesIssuedAsAPartialCommitmentFee Stock Issued During Period, Shares, Issued as a Partial Commitment Fee (in shares) Stock issued during the period as a partial commitment fee. Current Fiscal Year End Date bsin_StockIssuedDuringPeriodValueIssuedAsAPartialCommitmentFee Stock Issued During Period, Value, Issued as a Partial Commitment Fee Value of stock issued during the period as a partial commitment fee. Call Option [Member] Put Option [Member] Entity Filer Category Entity Shell Company Entity Emerging Growth Company Entity Small Business us-gaap_OperatingIncomeLoss Operating loss us-gaap_DerivativeAssetsNoncurrent Commodity derivative Name of Property [Domain] Schedule of Earnings Per Share, Basic and Diluted [Table Text Block] Name of Property [Axis] Commodity derivative us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares Vested, stock options (in shares) Option Indexed to Issuer's Equity, Type [Axis] us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares Non-vested, stock options (in shares) Non-vested, stock options (in shares) Revenue: Interest expense Entity Address, State or Province Entity Address, City or Town Accumulated deficit Entity Address, Address Line One us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedWeightedAverageGrantDateFairValue Non-vested stock options, Weighted Average Grant Date Fair Value (in dollars per share) Non-vested stock options, Weighted Average Grant Date Fair Value (in dollars per share) Vested, Weighted Average Grant Date Fair Value (in dollars per share) City Area Code us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet Other operating assets and liabilities, net us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation Shares withheld to settle tax withholding obligations for restricted stock awards Local Phone Number Revenue from Contract with Customer [Text Block] Entity Address, Postal Zip Code Title of 12(b) Security Security Exchange Name Trading Symbol Underwritten Offering [Member] Represents information pertaining to underwritten offerings. Class of Stock [Axis] Related Party Transaction [Domain] Entity Common Stock, Shares Outstanding Related Party Transaction [Axis] Earnings Per Share [Text Block] Other current assets Total other current assets Board of Directors Chairman [Member] Director [Member] Basic and diluted weighted average shares outstanding (in shares) Natural Gas and Natural Gas Liquids (NGL) [Member] bsin_EquityAgreementAmountAvailable Equity Agreement, Amount Available Represents the amount available under an equity agreement. bsin_EquityAgreementSharesAvailable Equity Agreement, Shares Available (in shares) Represents the number of shares available under an equity agreement. Common stock, par value (in dollars per share) Production taxes Basis of Accounting, Policy [Policy Text Block] Derivative Contract [Domain] Other income, net Long-Lived Asset, Class [Axis] Sale of Stock [Domain] Sale Leaseback Transaction [Table] Oil and Natural Gas Properties [Member] Represents oil and natural gas properties. us-gaap_Assets Total assets Cash and equivalents Geographical [Domain] Geographical [Axis] Industrial Gas Properties [Member] Represents industrial gas properties. us-gaap_InvestmentOwnedAtFairValue Investment Owned, Fair Value us-gaap_InvestmentOwnedBalanceShares Investment Owned, Balance, Shares (in shares) Schedule of Other Current Assets [Table Text Block] Customer [Axis] Depreciation, depletion, accretion, and amortization us-gaap_DepreciationDepletionAndAmortization Consolidation, Policy [Policy Text Block] Natural Gas, Midstream [Member] Anfield Energy [Member] Represents Anfield Energy. Cash paid for interest Purchaser C [Member] Relating to purchaser C. bsin_AssetAcquisitionContingentConsiderationPercentageOfGainOnSaleOfInitialGasProcessingPlant Asset Acquisition, Contingent Consideration, Percentage of Gain on Sale of Initial Gas Processing Plant Percentage of gain on sale of initial gas processing plant to be paid as contingent consideration of the asset acquisition. bsin_BeneficialOwnershipPercentage Beneficial Ownership Percentage Percentage of beneficial ownership. bsin_AssetAcquisitionRepaymentOfCapitalCostsPeriodFromClosingDate Asset Acquisition, Repayment of Capital Costs, Period From Closing Date (Month) Period from the closing date that capital costs will be repaid under the asset acquisition. bsin_AssetAcquisitionConsiderationTransferredEquityInterestsIssuedOrIssuablePercentageOfOutstandingStock Asset Acquisition, Consideration Transferred, Equity Interests Issued or Issuable, Percentage of Outstanding Stock Percentage of outstanding stock for equity interest issued or issuable as consideration for the asset acquisition. Underwriting Agreement [Member] Represents the Underwriting Agreement. bsin_PolicyTable us-gaap_StockholdersEquity Total shareholders’ equity Balance Balance Banner Oil & Gas, LLC [Member] Represents Banner Oil & Gas, LLC. Sage Road Energy II, LP [Member] Represents Sage Road Energy II, LP. Woodford Petroleum, LLC [Member] Represents Woodford Petroleum, LLC. Investment, Issuer Name [Axis] Stock, Class of Stock [Table] Investment, Issuer Name [Domain] Concentration Risk Benchmark [Axis] Concentration Risk Benchmark [Domain] Consolidation, Less-than-Wholly-Owned Subsidiary, Parent Ownership Interest, Effect of Change [Table] Right-of-use asset ecd_Rule10b51ArrTrmntdFlag Rule 10b5-1 Arrangement Terminated [Flag] Revenue ecd_Rule10b51ArrAdoptedFlag Rule 10b5-1 Arrangement Adopted [Flag] Commitments and contingencies (Note 8) us-gaap_PaymentsToExploreAndDevelopOilAndGasProperties Capital expenditures