Cofferdam directional micro-blasting system driven by digital twinning-AI prediction

Abstract

The invention discloses a digital twinning-AI prediction driven cofferdam directional micro-blasting system, which relates to the technical field of underwater blasting engineering, and comprises the following steps of: constructing multi-domain digital twinning, reading a compliance rule machine by a loading machine, fusing a hydrophone array, shore-based vibration and distributed optical fiber observation assimilation to form a baseline field; defining an isobaric surface leakage volume, a sector deflection angle, a closure degree and a frequency band energy ratio, and establishing two sets of equivalent boundary admittances and preselection of a switchable physical layer; training a multi-output AI element model, combining opportunity constraint and hard constraint, performing linkage optimization on a physical layer and a detonation network, and generating a linkage instruction and a sensitivity atlas; and small-dose trial explosion is executed by a hierarchical correction state machine, and on-line guarding and knowledge writing-back are carried out in combination with sequential ratio test and quantile tracking. And minute-level interpretable prediction can be realized, leakage and direction drift are inhibited, the safety of an ecological structure is guaranteed, and the construction period and the cost are reduced.

Description

Technical Field

[0001] This invention relates to the field of underwater blasting engineering technology, specifically to a digital twin-AI prediction-driven directional micro-blasting system for cofferdams. Background Technology

[0002] Directional micro-blasting is often used in the demolition of cofferdams and the clearing of old bridge piers in coastal and inland waterway hydraulic engineering projects to shorten underwater operation time and reduce large-scale disturbance. This scenario is also subject to multiple constraints, including strong reflection in shallow water, non-uniform propagation in soft soil layers, elasto-plastic and damped responses of cofferdams and sheet piles, navigation safety, and ecological red lines: the reflection boundary formed by the free water surface and the shoreline is prone to multiple superpositions, causing energy to focus in non-target sectors; tides and runoff cause time-varying sound and flow velocity profiles, and the propagation path and phase relationship drift accordingly; the coupled vibration modes of the cofferdam and adjacent components can also push local energy back into the water.

[0003] Existing technologies often employ single-domain or weakly coupled models and empirical formulas for piecewise verification. Blasting vibrations are primarily estimated using statistical regression, underwater noise is mainly determined through post-event monitoring, and construction methods rely heavily on empirical bubble curtain or guide curtain arrangements, resulting in highly subjective parameter adjustments. Regulatory enforcement typically relies on textual comparisons and construction window management, lacking machine-readable standards that can directly interface with solvers. While multimodal monitoring has been introduced, its scope, frequency bands, and time windows are difficult to align with the simulation side, leading to frequent semantic and dimensional inconsistencies among the "model-monitoring-regulation" framework. Consequently, scheme generation often relies on iterative trials, online phases depend on manual judgment, and minute-level interpretable predictions and closed-loop decision-making are lacking. Furthermore, even slight shifts in external operating conditions make it difficult to promptly suppress energy leakage and directional deflection risks in non-target sectors, impacting ecological compliance, increasing safety pressures on cofferdams and adjacent structures, and prolonging the construction period.

[0004] In the scenario of directional micro-blasting of cofferdams in shallow water with strong reflection and multi-interface coupling, the core technical problem that urgently needs to be solved is: how to translate the target of "focusing inward and attenuating outward" into a unified and calculable directional morphological index under the premise of prior legal standards and complete consistency with the model, and to achieve minute-level linkage optimization and online monitoring of the switchable physical layer and the detonation network in the same decision space, so that the energy leakage and directional deflection of non-target sectors can be verifiable and suppressed within the actual construction window. This problem arises from the complex acoustic environment of shallow waters, such as bridge areas and waterways. Strong reflections from the water surface and bank walls amplify even the smallest micro-delay deviations and uneven distribution, causing funnel-shaped leakage of isobaric surfaces in non-target sectors. Simultaneously, changes in tidal and velocity profiles lead to the redistribution of frequency band energy between sectors, making it difficult to match commonly used empirical bubble curtains or guide curtains in a timely manner. Without consistent machine-readable rules and unified energy accounting across multiple domains, the model and monitoring systems cannot mutually verify each other, resulting in a disconnect between prediction and compliance judgment. In the online phase, without a control law that combines morphological deviation-prioritized layered correction with micro-delay sensitivity guidance, responses to boundary violations can only rely on coarse-grained measures such as load reduction or work stoppages. These issues are particularly prominent during cofferdam demolition, old bridge pier blasting, or near-shore hydraulic engineering construction. The direct consequences are: ecological boundary violations triggering work stoppages; cofferdams and adjacent structures experiencing abnormal vibrations; passively compressed construction windows and increased organizational costs; and a lack of traceable evidence chains to support rapid verification and resumption of production, thus creating a dual bottleneck in both technology and management. Summary of the Invention

[0005] (a) Technical problems to be solved To address the shortcomings of existing technologies, this invention provides a digital twin-AI prediction-driven directional micro-blasting system for cofferdams. By constructing a multi-domain digital twin, loading a machine-readable compliance rule machine, and integrating hydrophone arrays, shore-based vibration data, and distributed fiber optic observations to assimilate and form a baseline field, it defines the isobaric surface leakage volume, sector deflection angle, closure degree, and frequency band energy ratio. It establishes an equivalent boundary admittance for a switchable physical layer, pre-selecting two sets. A multi-output AI meta-model is trained, combining opportunistic and hard constraints to optimize the physical layer and initiation network, generating linkage commands and sensitivity maps. Small-dose test blasts are performed, executed by a hierarchical correction state machine, combined with sequential ratio testing and quantile tracking for online monitoring and knowledge write-back. This system enables minute-level interpretable predictions, suppresses leakage and directional drift, ensures the safety of the ecological structure, and solves the technical problems described in the background art.

[0006] (II) Technical Solution To achieve the above objectives, the present invention is implemented through the following technical solution: a digital twin-AI prediction-driven directional micro-blasting system for cofferdams, comprising: constructing a multi-domain digital twin; establishing a coupling between shallow water acoustics, seismic motion, and cofferdam structure; compiling marine and transportation calibers into a machine-readable compliance rule machine; and integrating underwater acoustic / vibration observations to assimilate and form a baseline field and verify the caliber. Based on the baseline field, the isobaric surface leakage volume, sector deflection angle, closure degree, and frequency band energy ratio are defined. The bubble curtain, flow guide curtain, top cover, and buffer medium are abstracted as switchable physical layers. Two candidate combinations are pre-selected in multiple flow conditions and reflection fields. The multi-output model is trained using the above examples and actual tests. The above indicators and uncertainties are predicted with the same caliber. The feasible region is determined by superimposing the rule machine hard constraints with the chance constraints. The physical layer and the detonation network are optimized in a coordinated manner, and the coordinated commands and sensitivity spectrum are output. Perform a small-dose test explosion and execute it in a closed-loop manner using a layered correction state machine: prioritize the adjustment of the physical layer for morphological deviations, and fine-tune the frequency band drift and delay; combine sequential ratio verification and quantile tracking to trigger online protection to change the sequence, reduce load or pause, generate a test explosion compliance card and write back the twin and meta-model.

[0007] Furthermore, a port Hamiltonian approach is adopted to unify the water area sound pressure, soil displacement, and cofferdam structure displacement. Power conservation at the water structure interface and energy flux audit of the absorption layer are set. The baseline field is generated by assimilating the multimodal observations of the monitoring network using a combination of Kalman and short-window variational methods. The monitoring network includes a hydrophone array, shore-based vibration, distributed fiber acoustics, and fiber optic gratings or optical frequency domain reflection channels. The assimilation output is solidified into a versioned baseline field after aperture consistency verification.

[0008] Furthermore, the machine-readable compliance rule machine discretizes the marine mammal and transportation department guidelines into a dictionary of frequency bands, time windows, and species weights, establishes exposure levels and peak sound pressure threshold sets, and forms a feasible region with the parameter space. It also provides a projection operator with metrics and a versioned rule set for subsequent steps to read. The rule machine stores the clause identifier, frequency band set, time window set, and threshold in the form of a keyed table, and registers the parameter metric matrix for unified reading in subsequent projection and optimization.

[0009] Furthermore, an instantaneous isobaric surface is generated by fusing array time delay inversion with the baseline field. The leakage volume, sector deflection angle, closure degree, and frequency band energy ratio of the isobaric surface are calculated under unified coordinates and regular machine aperture. The threshold and bandwidth are determined by regular machine inversion and adaptive bandwidth. The array geometry and instrument response are incorporated into the observation operator. The isobaric surface reconstruction and azimuth energy are achieved by the same filter family. The morphological indicators are referenced in each step with unified labels.

[0010] Furthermore, the switchable physical layer parameters are recursively derived to obtain the equivalent boundary admittance through a multi-layer boundary transfer matrix. The parameters include the number of rings, partitions, gas supply, particle size distribution, and geometric arrangement, and the thickness of the guide curtain and top cover is modeled. After combining the flow velocity profile correction, it is used for multi-condition simulation and pre-selection of two sets of candidate combinations. The equivalent boundary admittance is injected into the twin dissipation and interconnection operator boundary block to form a differentiable loading interface, and the non-uniform arrangement is loaded and managed according to spatial segmentation.

[0011] Furthermore, a unified feature consisting of the baseline field low-rank coefficients, the equivalent admittance band-limited spectrum, and the initiation network parameters is constructed, and a multi-output element model is trained using physical consistency regularization and derivative consistency constraints. The model outputs the mean and covariance of multiple indicators with the same caliber and provides them for chance constraint calls. The unified feature uses permutation-invariant encoding to represent the detonation sequence and low-rank embedding to preserve spatial field information. The covariance output by the model is adaptively adjusted with the feature, forming a minute-level queryable interface.

[0012] Furthermore, the opportunity constraints describe the distribution drift using a Wasserstein uncertainty set based on the empirical distribution, and set probability budgets for the environment, structure, and geometry to jointly optimize the micro-delay and sequence of the switchable physical layer and the initiation network. The decision vector is composed of convex relaxation representations of continuous variables of the physical layer and discrete variables of the detonation sequence, and is projected onto the feasible region and the safety window. The optimization is solved in the form of multi-objective aggregation, and the output variable activation set is consistent with the sensitivity spectrum.

[0013] Furthermore, the small-dose test explosion is executed by a layered correction state machine. The switchable physical layer is adjusted first according to the priority order of morphological deviation, and then the micro-delay and detonation sequence are fine-tuned. If it is still abnormal, the low-disturbance process is switched, and a test explosion compliance card and instruction version update are generated in the feasible domain of the rule machine. The low-disturbance process includes mechanical cutting or splitting, and the state machine records the input, adjustment amount and version information at each step. The test explosion compliance card includes frequency band and sector indexes for traceability.

[0014] Furthermore, the online monitoring constructs a barrier error signal based on the monitoring residuals of the frequency band and sector, and solves the minimum norm micro-delay correction and regularization based on the sensitivity spectrum; When the correction is insufficient, the detonation sequence minimum exchange, equivalent spectrum amplitude step-down and pause are executed sequentially. The trigger threshold is given by the sequential ratio test and quantile tracking. The online guardian records the micro-delay modification history and sequence exchange position, and binds the monitoring trajectory and control commands with the same timestamp and coordinate system.

[0015] Furthermore, the knowledge write-back process stores the working condition identifier, the baseline field, the switchable physical layer and detonation network parameters, morphological indicators, the original monitoring trajectory, the meta-model output and instruction version, and the action record into the database. The meta-model parameters are updated using incremental Bayesian variational methods, and the soft boundary and time-frequency band safety window of the rule machine are adjusted synchronously. The knowledge base is managed using a unified data mode and includes the version number of the model and rules and the training summary. After the write-back is completed, the instruction version rolling generation and interface consistency check process are triggered.

[0016] (III) Beneficial Effects This invention provides a digital twin-AI prediction-driven directional micro-blasting system for cofferdams, which has the following beneficial effects: The multi-domain digital twin and machine-readable compliance rule machine generate a baseline field under a unified energy ledger and regulatory caliber. The baseline assimilation unit uses hydrophone arrays, shore-based vibrations and distributed fiber optic observations for calibration. Therefore, the state, boundary and feasible domain input to subsequent steps are compliant before optimization from the beginning, thereby eliminating caliber drift and cross-domain splicing errors.

[0017] Directional morphological indices quantify the isobaric surface leakage volume, sector deflection angle, closure degree, and frequency band energy ratio within the same coordinate system and regulatory caliber. They are also estimated in conjunction with a monitoring network and twin field. Thus, the abstract goal of "inward focusing and outward attenuation" is transformed into a calculable control scale. This allows for equivalent boundary mapping of the number of rings, zones, gas supply, and particle size distribution of the switchable physical layer. Ultimately, under multiple flow conditions and strong reflection backgrounds, two candidate combinations that are superior in terms of attenuation effect and feasibility can be quickly screened.

[0018] By constructing a unified feature set, minute-level predictions and confidence sets are provided. The hard constraints of regulations and the chance constraints are defined together as the decision-feasible region. Therefore, physical layers such as the bubble curtain and the detonation network can work together in the same optimizer to find the best solution. This allows for the acquisition of an executable set of linked instructions and a frequency band-sector sensitivity map while ensuring that the probability of exceeding the limit is controlled. Ultimately, this combines fast calculation, accurate calculation, and interpretability.

[0019] The small-dose test explosion and the layered correction state machine follow the order of prioritizing morphological deviations. First, the spatial topology of energy flux is corrected using a switchable physical layer. Then, the frequency band allocation is sculpted using micro-delay and detonation sequence. Sequence ratio test and quantile line tracking are used to identify out-of-bounds trends. Therefore, leakage and directional drift can be suppressed with minimal disturbance. Thus, closed-loop control is formed through online monitoring of reordering, load reduction and suspension.

[0020] The equivalent boundary admittance of the switchable physical layer, the energy closure of the directional morphological index, and the physical regularity and chance constraint optimization of the artificial intelligence meta-model form a cross-layer synergy. Therefore, every link from the propagation mechanism and regulatory interpretation to the control instructions is connected under the same semantics and dimensions, thereby significantly reducing the iterative cost of scheme generation and verification. Attached Figure Description

[0021] Figure 1 This is a schematic diagram of the directional micro-blasting system for cofferdams of the present invention. Detailed Implementation

[0022] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0023] Please see Figure 1 This invention provides a digital twin-AI prediction-driven directional micro-blasting system for cofferdams, comprising: The internal focusing and external attenuation targets of directional micro-blasting of cofferdams are essentially energy redistribution problems under conditions of multiple interfaces, strong coupling, and strong reflection. If not handled in a unified energy accounting and cross-domain caliber, the multiple reflections between the shallow water free surface and the bank will cause the phase superposition of the water acoustic pressure and the soil wave field to become out of control. The local vibration modes of the cofferdam structure will also be fed back to the water through the interface, causing energy leakage from non-target sectors.

[0024] Therefore, the water-soil-structure three domains are first incorporated into the same state vector based on the principle of energy conservation. Then, the regulatory clauses such as sound exposure level, peak sound pressure level, hearing threshold shift, and fish protection caliber are translated into hard constraints that can be recognized by the solver through a machine-readable compliance rule machine. Subsequently, the structural parameters of the subsequent switchable physical layers (bubble curtain, flow guide curtain, top cover, local buffer medium) and the detonation source terms are uniformly bound within the compliance domain, providing a definite boundary for subsequent morphological index deduction and linkage optimization.

[0025] To avoid aperture drift and dimension inconsistency during multi-domain splicing, a port Hamiltonian representation based on the system Hamiltonian is adopted to represent the sound pressure field over the water area. Soil displacement field Displacement field of cofferdam structure Unified incorporation into the coupled state vector When strong reflection boundaries and structural damping exist in shallow water, the transdomain energy flow is characterized by a ternary combination of interconnection operator, dissipation operator, and input operator. The corresponding coupled dynamics are inlined in port Hamiltonian form as follows:

[0026] Where: state-time derivative The first derivative of the state with respect to time; coupled state vector : Sound pressure field of water area Soil displacement field Displacement field of cofferdam structure Its composition and function are to characterize the three-domain state, and it is a set of measurable functions with finite energy (absolutely continuous in time, and spatially categorized). or (type function space) Hamiltonian The total energy functional of the system (the sum of the potential and kinetic energy of the acoustic field, and the strain and kinetic energy of the soil and structure) takes the value of a non-negative real number. Hamiltonian gradient. ,right Fréchet derivative; corresponding acoustic coenergy With solid stress-momentum. Same type; the unit is determined by the partial derivative of energy density with respect to the state.

[0027] Interconnection Operator Antisymmetric operator, describing energy-free cross-domain interconnection, is a sparse block matrix (corresponding to water-soil-structure interface interconnection). After discretization, it becomes a sparse matrix; Dissipative operators : Positive semidefinite operator, representing internal damping and interface radiation damping, is a self-adjoint nonnegative operator; Nonnegative dissipation (symmetric positive semidefinite) operator: ; Volume dissipation of water-bearing body viscosity and acoustic damping, soil viscosity and equivalent damping, structural damping; Boundary dissipation through equivalent boundary admittance Injected into Corresponding degrees of freedom, and Linear positive semidefinite mappings of the same type. Input Operator : Equivalent driving force of the explosion source Coupled into system ports, common ports include: water body Neumann-type body / boundary source, structural port force, and soil equivalent source; For the controlled pulse source term, the amplitude and timing are given later by the initiation network. Currently, it is only used as an input parameter constraint. Common ports include: water body Neumann type body / boundary source, structural port force, and soil equivalent source.

[0028] This expression unifies multi-domain PDEs at the energy level and allows for the subsequent injection of switchable physical layer parameter packages (PLPs) as tunable parameters for boundary dissipation and interconnects into dissipation operators. With interconnection operators To maintain physical consistency.

[0029] Furthermore, strict energy flux balancing must be ensured at the water-structure interface to match the normal volumetric flow of the water body with the power at the structure surface, thus avoiding false energy leakage caused by approximate boundary treatment. The corresponding interface energy consistency condition is written as:

[0030] Where: sound pressure field of water area The scalar pressure field in water is a square-integrable function; surface element ,exist Integral measure; numerical implementation as the product of the weights of the element edges / faces and the Jacobian; water body normal velocity The normal velocity of the water surface is defined as the component of the flow velocity normal to the interface; it is a square-integrable function, and its positive direction points towards the structure. The surface forces of the structure... The traction force on the surface of the cofferdam structure is equal to the product of the structural stress tensor and the outward normal, and is a square-integrable vector field; the structural velocity... : Surface velocity of the cofferdam structure, a square-integrable vector field; water-structure interface The common boundary between the water area and the cofferdam structure is a piecewise smooth curved surface; In use, through the dual constraints of port Hamiltonian unification and interface power conservation, shallow water reflection, soil scattering and structural damping are unified into a verifiable energy book, which significantly reduces the accumulation of cross-domain coupling errors. At the same time, it provides standardized ports for the physical plugging and unplugging of switchable physical layer parameters, enabling the parametric loading of engineering components without modifying the kernel.

[0031] If regulatory definitions (sound exposure levels for marine mammals, peak sound pressure levels, temporary / permanent threshold shifts; fish protection, cumulative exposure, and construction window management under transportation and fisheries definitions) remain merely textual, they will create a passive post-screening process during scheme generation. Translating regulations into a feasible domain and defining hard-constraint projection operators allows any candidate parameter vector to be projected into the compliance domain. The core mapping is:

[0032] Where: parameter vector This includes the shape and timing of the detonation source, the gas supply intensity and bubble size distribution in the switchable physical layer parameter package (PLP), and the geometric arrangement, forming the engineering-realizable domain; assembled in a unified order. Among them: switchable physical layer parameter block Relaxed quantization values ​​of continuous variables and a small number of integer variables, such as ring number, zone, gas supply intensity, representative point of particle size distribution, and geometric arrangement; zoned micro-delay blocks. Continuous variables representing the micro-delay of detonation in each partition; detonation sequence block : Vectorized representation using double random relaxation (row-major flattening from the permutation matrix), with a dimension equal to the square of the number of partitions; Weighted norm To unify the dimensions and priorities of different physical quantities; feasible region The set of inequalities formed by regulatory provisions such as sound exposure level, peak sound pressure level, frequency window, cumulative exposure, and construction time window in time-frequency-space-object is a closed convex set (constructed by frequency weighting and time window convolution). Projection operator : Take any parameter vector Mapping to the compliant nearest neighbor can take the form of a metric transformation: The one-to-one equivalence between weighted projection and Euclidean projection:

[0033] Weighted projection Equivalent to putting parameters First multiply by the lower triangular matrix on the left. to Euclidean space pairs Perform a regular projection, then multiply Come back. Weight matrix Cholesky factor Euclidean projection ; Furthermore, add a regulatory metric kernel:

[0034] Where: Species weight function Species Auditory weights / sensitivity band weights; values ​​are non-negative, piecewise continuous functions used for machine-readable compliance rules (RG machine reading); directional sectors. : A subset of unit spheres conformal to the two-angle domain in step two; time window : Sub-window of the construction permit window; frequency band : The band set mapped by RG as stipulated by regulations or machine-readable compliance rules. Spectral compression :exist Directional beam splitting spectrum. Reference pressure. : Regulatory reference dimension constant.

[0035] metric matrix : This is the engineering cost weight matrix for each parameter dimension. It is positive and can be adjusted according to the scene.

[0036] In use, the machine-readable compliance rule generator transforms complex regulatory definitions into a geometrically feasible region that the solver can process. This approach prioritizes compliance within the parameter space, allowing for optimization after compliance is achieved, thus avoiding the cost of retroactive rejection; simultaneously, it utilizes a metric matrix. Incorporate project feasibility into the constraints to reduce friction with on-site resources.

[0037] In shallow water scenarios, strong reflections from free surfaces and seabed inhomogeneity make the phase relationship between water acoustic pressure, soil acceleration, and structural response highly sensitive to parameters such as sound velocity profile, soil impedance, structural damping, and boundary reflectivity. Relying solely on prior knowledge will result in systematic drift. Furthermore, achievable observations during cofferdam construction (e.g., arrival delay and bandgap energy of hydrophone arrays, wave velocity and attenuation of shoreline vibrations, and distributed strain and acoustic response of baseline assimilation devices (DAS / FBG / OFDR)) are inherently non-homogeneous in terms of time-frequency-spatial resolution. Therefore, a method is needed to unify the model's differentiable structure with the non-uniform constraints of observations, enabling assimilation not only to correct for the medium and boundaries but also to output indicators directly applicable to compliance decisions within regulatory frameworks, and to pass on uncertainties to subsequent coordinated optimization.

[0038] To balance physical consistency and on-site observability, the multi-domain digital twin is parameterized, and the sound velocity profile is... Soil resistance Structural damping ratio Boundary reflectivity Equivalent spectrum of the explosion source Assimilation parameter vector and as a joint variable of initial state and parameters Enter the objective functional minimization; The goal is to unify and inline the physical equation residuals, observation residuals, and rule-based soft penalties (ensuring proximity to hard constraint boundaries without crossing them):

[0039] Where: objective function Assimilation cost (dimensionless); composed of background term, observation term, and rule-based soft penalty; used to solve for optimal joint variables. Joint variables : From the initial state With assimilation parameter vector It is pieced together to form the Cartesian product of the reachable state and parameter space of the multi-domain digital twin DT; Background Field Prior knowledge (obtained through numerical experiments or historical measurements); range of values ​​and Consistency; metric operator The weighting matrix or approximation of the background field error is symmetric positive definite. Observation vector At any moment The observations provided by the modal monitoring network (including arrival time delay, frequency band energy, vibration velocity, distributed strain, etc.) are for ; Observation Operator Mapping the state of a multi-domain digital twin to the observation domain (including array geometry and instrument response) is achieved using a differentiable nonlinear operator; mapping the internal state of the model to a comparable... The amount; It includes array geometry, instrument response, bandpass filtering, and time-window integration; it is provided by the calibration information of the monitoring network and the sensor model. Evolution Operator : Advance the joint variables to time step The state; ; This corresponds to the time integral of the solver, with units consistent with the internal state, and is used to generate simulated observations.

[0040] weight matrix : Observation error weights; symmetric positive definite; This is the penalty coefficient; Penalty items The soft boundary of machine-readable compliance rules (RG) transforms the tendency to violate regulations into penalties through half-plane distance or frequency window distance; the softening term of machine-readable rules and engineering boundaries; typical forms can be block summation, such as for parameter smoothing / monotonicity, barrier penalties for illegal frequency bands / time windows, quadratic terms for energy closure residuals, etc. ; To improve convergence and robustness, regularized Gaussian-Newton directions are used for the joint variables. A one-step correction is performed, where Jacobi-weighted-regularization correspond to sensitivity-confidence-prior smoothing in a physical sense, and the update quantity is inlined as follows:

[0041] Where: Increment vector Definition: The correction amount for the joint variables in this iteration; size Solving the linearization subproblem yields the result, which is used to update... Jacobi : Stacked according to observation batch Differentiable operators composed of chain rules; dimensions of each column and their corresponding... Consistent in quantity, after After whitening, the quantity is dimensionless; weight : Symmetric positive definite The observation covariance for each channel; Make the residual measure dimensionless and additive; residual : ,in For the Mapped simulated observations; regularization coefficient : The trade-off between controlling prior smoothing and data fitting; Value ; Regular operators :right and Apply physical smoothing (e.g., second-order difference in the depth direction, applying spectral domain Tikhonov to the structural parameters); achieve full rank.

[0042] ,right Apply structural constraints; common: zero-order Tikhonov: First-order / second-order difference: or (Smoothing of field quantities); Block-based physical priors: Gradients are applied to the sound velocity profile, and linearization is applied to damping using a non-negative barrier. Unit: [This likely refers to a specific physical prior or principle]. Both the residual and the dimensionless or uniform unit are dimensionless.

[0043] In practice, by embedding the soft boundary of the machine-readable compliance rule machine into the target functional and advancing with regularized Gaussian-Newton steps, uniform convergence of physical differentiability, compliance fuzzy boundary, and multimodal observation is achieved. Assimilation not only corrects the medium and boundary but also quantifies the approximation degree of the aperture boundary into uncertainty, directly serving the threshold opportunity constraint of subsequent morphological indicators.

[0044] After assimilation is complete, the regulatory definitions and the internal measurement definitions of the twin need to be compared point by point to ensure the baseline field. This will not introduce systematic bias due to differences in caliber when used for subsequent screening of morphological indicators and candidate construction methods.

[0045] Define the worst-case consistency deviation on the frequency band set and construction time window, and use it as a trigger signal to perform secondary parameter tuning on the baseline assimilation DA or to automatically calibrate the soft boundary coefficient of the machine-readable compliance rule machine RG:

[0046] Where: consistency deviation Upper bound of the difference between the regulatory definition and the twin definition; value range Frequency band set : Discrete or continuous frequency band sets (including weighted sets) as defined by regulations; non-empty compact sets; time window sets : Set of permitted construction time windows; non-empty compact set; regulatory measurement : Sound exposure level or peak sound pressure level, etc., calculated according to regulatory definitions (including band-weighted and time integral); are scalar functions; and are time-series In frequency band Time window The scalar measurement calculated according to the legal definition is uniformly packaged into bandpass / weighted → statistics / integration → scaling transformation.

[0047] Typical example (as determined by the terms): Sound exposure level:

[0048] Peak sound pressure level:

[0049] Value range: real numbers; the rule machine provides bandpass / weight functions. Reference constants and window width; calculated according to the filter provided at the same sampling rate.

[0050] Twin measurement :and The internal implementation is completely identical (same filter bank, window width, reference value, and scale), differing only in the computation engine (completed within a digital twin); units are consistent with the former. Value range: real numbers. Purpose: To ensure that the comparison is of values ​​with consistent accuracy, avoiding spurious biases introduced by implementation differences.

[0051] Sound pressure timing : Baseline field The data is exported at specified sectors and observation points, and is a square-integrable time series.

[0052] Superior boundary Definition: The maximum difference across all frequency band-time window combinations. If Discrete, then equivalent If continuous weight bands or sliding windows exist, the maximum value is taken on the grid given by the rule machine during implementation.

[0053] In use, this consistency deviation is measured in the worst-case scenario across the three dimensions of frequency band, time window, and sector, effectively capturing narrowband deviations and window boundary effects caused by strong reflections in shallow water; when the consistency deviation... Exceeding the threshold triggers automatic calibration of the secondary assimilation and the soft boundary of the rule machine, ensuring... The regulatory interpretations are completely aligned.

[0054] Step 2 uses the baseline field output in Step 1 from the multi-domain digital twin DT. Using the parent field as a framework, the engineering objectives—focused internally and attenuated externally—are translated into calculable, verifiable, and interconnected directional morphological indicators (SIs), and then defined within the feasible domain of machine-readable compliance rules (RGs). The switchable physical layer SPL (its parameter package PLP) is mapped to equivalent boundary and source term modulations, forming an integrated pre-selection closed loop of index-physical layer-feasibility region, and finally outputting two candidate combinations that are superior in terms of attenuation effect and feasibility.

[0055] The cohesive decay of directional micro-blasting of cofferdams cannot be fully explained by a single physical quantity. If a funnel-shaped leakage occurs on the instantaneous isobaric surface, its quantification requires geometric correlation with the target sector; subtle deflections in the main energy direction are amplified under strong reflection conditions in shallow water, causing superposition on non-target shorelines; if the acoustic energy field aperture does not match the frequency band-time window aperture defined by regulations, false out-of-bounds errors will occur within subsequent opportunity constraints. Therefore, using the consistency of the aperture between multi-domain digital twins and machine-readable compliance rule machines as a foundation, multi-modal observations from modal monitoring networks / AR are embedded in index estimation, making the index both a quantification of morphological semantics and a proof of regulatory semantics.

[0056] At the home field The moment The directional morphology index SI uses a threshold isobaric surface as its geometric carrier to measure the volumetric projection of leaked energy outside the target sector, and simultaneously captures the mismatch in energy directionality using the deflection angle of the principal direction of sound intensity. To avoid the common coarse representation of single-point threshold and single-line angle, the surface domain, volume domain, and direction are coupled into a unified instantaneous measure.

[0057] First, the Chinese name for the isobaric surface leakage volume is the isobaric surface leakage volume. Defined as:

[0058] Where: spatial domain The water area computation domain of the multi-domain digital twin DT is a three-dimensional bounded open set adjacent to the cofferdam; Target sector domain A conical or sectoral domain defined by the target axis and the opening angle is a spatial domain. Subset, open angle is preset by the engineering scheme; indicator function : 1 for true, 0 otherwise; no unit; sound pressure field Multi-domain digital twin (DT) at all times The sound pressure is a square-integrable scalar field; the threshold The isobaric surface threshold, set according to the regulatory caliber of the machine-readable compliance rule machine RG, is a non-negative real number, and is fixed after being mapped by the frequency band and time window through the machine-readable compliance rule machine RG; integral variable Spatial location vector; its value lies in the spatial domain. .

[0059] When used, this volume fraction accurately measures areas exceeding the threshold outside the target sector, avoiding misjudgments of replacing volumetric energy leakage with single-point threshold exceedance, thus maintaining consistency with the area-volume caliber of regulations.

[0060] Furthermore, to quantify the deflection of the principal energy direction relative to the target axis, the sound intensity field is referred to as the sound intensity vector. The deflection angle, also known as sector deflection angle, is defined in the volume-averaged direction of the isobaric region. First, define the representative quantity of direction:

[0061] Where: isobaric zone :Depend on The defined thin-layer volume domain is subset Small bandwidth; isobaric band volume : , is a positive real number; sound intensity vector The instantaneous sound pressure-particle velocity product is a time-averaged vector field, with the unit direction representing the energy flow; the target unit vector is... : The unit vector along the central axis of the target sector, a vector of unit length; direction represents quantity. The volume-average directional quantity of sound intensity within an isobaric zone is: Vector; sector deflection angle : Interior angles are in radians.

[0062] In use, the direction is defined by the average sound intensity of the isobaric zone, which significantly weakens the interference of local vortices and scattered hot spots on the direction estimation, thus reducing the sector deflection angle. With the volume of leakage from the isobaric surface Coupled representation of the dual morphological mismatch of leakage and deflection within the same geometric context facilitates subsequent multi-target linkage.

[0063] To avoid approximating spatial directivity with a single-channel spectral ratio, beamforming integration is performed on the energy of target and non-target sectors using array data from array observation AR, and the band energy ratio is calculated within the band-time window of the machine-readable compliance rule machine RG. Simultaneously, the closure degree of the energy flux on the surface of the control volume is referred to as the closure degree. Verify the consistency of energy bookkeeping. The bandwidth energy ratio is defined as:

[0064] Where: frequency band set The set of targets and reference frequency bands specified by the machine-readable compliance rules (RG) is a non-empty compact set, and they do not overlap, or may have overlapping weights as defined by regulations; angular domain The angular domain of the target sector and non-target sector on a unit sphere is the geodetic measurable set; Beamforming power spectrum : Unit vector along the direction With frequency The array output power (e.g., MVDR / Capon type) has been weighted according to machine-readable compliance rules and is a non-negative real number; direction unit vector. : The direction on the unit sphere, a vector of unit length.

[0065] When used, it is defined as a double integral in the angular domain and frequency domain. This allows for a stable estimation of the band-limited energy of the target sector relative to the reference band-limited energy of the non-target sector, naturally suppressing random fluctuations and the randomness of local reflections in a single sensor.

[0066] Energy closure is measured by the energy accounting of the multi-domain digital twin (DT), and the ratio of the volume boundary flux to the incident source power is used to determine whether the energy is effectively closed within the target body.

[0067] Where: degree of closure : Real numbers, ideally closed, are close to 1, with an upper bound of 1; boundary The piecewise smooth boundary of the isobaric zone's outer surface is a two-dimensional curved surface; normal vector. : Outward normal unit vector, a vector of unit length; surface element Boundary area infinitesimal; unitless; incident source power : The energy flux integral around the small facet of the explosion source, from the source port of the multi-domain digital twin DT, is a non-negative real number.

[0068] When using, Using energy flux as the core not only echoes the interface power conservation in step one, but also directly embeds the physical audit of closure-leakage into the index layer. This avoids replacing the actual energy closure with geometric approximation and improves the directionality of subsequent physical layer parameter tuning.

[0069] In real ocean areas, current profiles, swells, and surface roughness exhibit seasonal drift. Furthermore, the complex reflection and scattering introduced by multiple interfaces such as cofferdams, shorelines, and subgrades make the actual effect of the physical layer highly dependent on the equivalent boundary properties. Directly enumerating combinations of switchable physical layer parameter packages (PLPs) in the full-order model is not only computationally expensive but also prone to yielding spurious optima due to boundary mismatch.

[0070] Therefore, the switchable physical layer parameter package PLP is embedded into the multi-domain digital twin DT through the physical mapping of equivalent boundary admittance-interconnect modulation, so that its influence is expressed at the operator layer; at the same time, the feasibility cost is included in the screening function, so that engineering resources and safety window are equal first-order factors, rather than ex-post conditions.

[0071] The microstructure of the switchable physical layer (SPL) (number of rings, partitions, gas supply intensity, bubble size distribution, and geometric arrangement) is converted into the equivalent admittance of the multi-domain digital twin (DT) boundary. The Chinese term for this is equivalent boundary admittance. This is a prerequisite for pre-selecting reliability. Focusing on the resonant scattering and viscous dissipation of bubble clusters, the switchable physical layer parameter package PLP and the velocity profile are jointly mapped into a complex admittance in the frequency domain, and this admittance is injected into the dissipation operator in step one. With interconnection operators The boundary blocks form a unified energy book.

[0072]

[0073] Where: Equivalent boundary admittance Multi-domain digital twin (DT) boundary at frequency With parameters The following complex admittance is a complex number; the intrinsic admittance of water body The baseline admittance without a physical layer is a positive real or weakly complex number, which varies with... Slow change; Magnification factor The gain factor, determined by the switchable physical layer parameter package PLP (number of rings, gas supply intensity, bubble volume fraction, particle size distribution, and arrangement), is a non-negative real number; resonant frequency. The cluster resonance center, determined by the particle size distribution and hydrostatic pressure, is a positive real number; damping : Dimensionless damping of combined viscosity and heat dissipation, a positive real number; imaginary unit. :satisfy ; Dimensionless; Flow field correction Velocity profiles obtained from ADCP, etc. The resulting additional admittance term is a correction function with the real part as the main component; parameter vector : A subset of the switchable physical layer parameter package PLP (specific configuration of the switchable physical layer SPL); values ​​belong to the project-realizable domain. .

[0074] When used, the equivalent boundary admittance is used. The engineering controllable dimension of the switchable physical layer parameter package (PLP) is compressed to the operator layer, enabling rapid evaluation of the physical layer switching effect without modifying the multi-domain digital twin (DT) kernel; flow field correction term. This ensures consistency in caliber across multiple flow conditions, thereby reducing incorrect candidate selection.

[0075] Pre-selection is not simply about pursuing the strongest attenuation; in real-world construction sites, the number of equipment, gas supply capacity, construction window, and environmental buffering capacity all jointly determine feasibility. A selection function is used. The attenuation objective function, implementation cost, and compliance distance are combined into one, and the feasible domain is defined by the machine-readable compliance rule machine (RG). The above process involves projection filtering to generate a refined candidate list. :

[0076] Where: Target to be filtered The overall cost of scalarization is a non-negative real number; weights The weights for decay and implementation (normalized) are non-negative real numbers. Attenuation metric : By the directional morphological index SI in The updated calculated overall attenuation (can be taken as) Reduce Reduce Increase and (weighted by increases, etc.), is a non-negative real number; Implementation costs The comprehensive cost of equipment, energy consumption, installation, and maintenance is a non-negative real number, which can be subject to construction window penalties; compliance distance. Machine-readable compliance rules RG feasible domain Measuring distance, The mapping from the switchable physical layer parameter packet (PLP) to the parameter vector is a non-negative real number; the penalty coefficient is... : Amplify the weight of non-compliant trends, and be a positive real number.

[0077] When used, this screening process places compliance at the same level, allowing for... Early elimination of marginal solutions during the optimization process; resulting in It is not the optimal solution in an arithmetic sense, but a comprehensive optimal solution that is deployable, compliant, and interconnected. The differentiated design of the two candidate solutions also provides a variety of starting points for the opportunity constraint optimization in step three.

[0078] The screening function uses a composite cost form, weighting and summing the three types of metrics—directional attenuation implementation cost, compliance distance, and metric—under the same standard:

[0079] Among them, attenuation metric Four directional morphological indicators are aggregated according to the most unfavorable time window (and then added together after unified normalization):

[0080] Physical layer parameter package : Adjustable parameter vector of candidate construction methods; the value range is the engineering realizable domain, parent field : A multi-domain field snapshot after baseline assimilation, used to capture a given field. Quick evaluation metrics. Frequency band set. With safety window : Regulatory frequency band and contraction window given by the rule-making machine; leakage ratio : Dimensionless; the smaller the better; sector deflection angle : Angle between the main energy source and the target axis, in radians; Normalized denominator; degree of closure Energy flux closure rate, dimensionless; Indicates the unclosed quantity, non-target frequency band energy ratio : Specify The ratio of the energy in the non-target angular region to the total energy is dimensionless.

[0081] Implementation costs Standardized engineering costs based on a uniform scale:

[0082] Among the equipment counts Gas supply power Installation time Maintenance workload All calculations are performed using the construction database, with the denominator being the upper bound of the project level for normalization.

[0083] Compliance distance :Bundle Mapping to rule machine parameters Later to feasible region Weighted distance:

[0084] Among them, compliant projection operators weight matrix The definition of has been given in the aforementioned projection section, and the weights Non-negative scalars are registered at the project level by the rules engine; Used for normalization within morphological groups.

[0085] For each candidate calculate Sort the parameters in ascending order; select the two optimal parameter sets to form a candidate set. .like (If compliant), then the third item is zero; if multiple operating conditions occur (flow velocity, reflection field uncertain), then... of Repackaged into a set of operating conditions Alternatively, the expected value plus variance penalty can be used to reflect robustness, while maintaining the same caliber.

[0086] Step two involves semantically decomposing and reconstructing the directional target into a four-index system of directional morphology indicators (SI), allowing geometric morphology and energy bookkeeping, array observations and regulatory standards to corroborate each other within the same framework; simultaneously, the engineering degrees of freedom of the switchable physical layer (SPL) are derived through equivalent boundary admittance. Injecting a multi-domain digital twin (DT) allows the on / off, intensity, partitioning, and particle size distribution of the engineering method to correspond one-to-one with the physical mechanisms of propagation, reflection, and dissipation; then using... By coupling the attenuation effect, feasibility, and compliance distance in the screening process, two candidate combination lists are generated. .

[0087] The directional micro-blasting of cofferdams exhibits a synergistic effect of internal focusing and external attenuation through multiple indicators: on the structural side, peak mass velocity is monitored to control the safety of the foundation pit and shoreline; on the water side, peak sound pressure and sound exposure level are monitored to ensure that the marine biological and fisheries scope of the machine-readable compliance rules (RG) does not exceed the limits; and simultaneously, the directional morphology indicator (SI) is also monitored. It also directly describes the geometric and physical closure of energy on the surface-volume-band-sector.

[0088] Relying solely on empirical formulas or single-objective substitutions not only fails to provide a unified standard but also leaves opportunity constraints without a basis. Therefore, it is necessary to establish a multi-output AI meta-model conforming to the multi-domain digital twin DT-machine-readable compliance rule machine RG. List of candidate combinations Two sets of switchable physical layer candidates With detonation network Mapped to multiple indicators and uncertainty, and in - - The regulatory standards for (band-time window-sector) remain comparable.

[0089] Multi-output AI meta-model The input is not raw engineering parameters, but rather... Mother field Equivalent boundary admittance Ignition Network The geometric semantic embedding of the directional morphological index SI is a feature vector consistent with physical-geometric-frequency band. To make predictions in Under minute changes, following the physical trend of energy flow direction and boundary dissipation, and with derivative consistency (Sobolev regularization) + Hamiltonian residual (consistent with the port energy bookkeeping in step one) as the core, a training objective is constructed to make... The joint truth value of high-fidelity computational examples and historical measurements is closely approximated in both the range and derivative domain:

[0090] Where: parameter set Multi-output AI metamodel The learnable parameters, which are Euclidean space vectors, are used to determine the features from the feature vectors. To multiple outputs Differentiable mappings; Feature vector :Depend on , , and The low-rank embeddings constitute, for Used for inputs with a unified caliber; multiple output vectors Calculated according to machine-readable compliance rules and machine caliber ,for Used to monitor targets; covariance The heteroscedasticity weight matrix (combining sensor noise and example confidence) is a symmetric positive definite matrix used for weighting observation confidence; regularization weights. : Positive real numbers; their functions are to control the trade-off between derivative consistency and Hamiltonian residuals, respectively; gradient : on joint decision-making The sensitivity is represented by a matrix, used to provide priors for the sensitivity profile; sensitivity priors The accompanying sensitivity of multi-domain digital twins and The nearest neighbor simulation linearization is obtained, which is related to the gradient. A matrix of the same type, used for reference of the true value of the derivative; Hamiltonian residual Conservation of Hamiltonian energy at the port Projected to The energy closure penalty formed on the output trajectory is a non-negative real number, used to maintain energy accounting consistency and reasonable boundary dissipation.

[0091] When using, make Not only does it closely approximate the true value numerically, but it also maintains the direction and magnitude of increase and decrease in the derivative domain in accordance with physics, thus resulting in lower error accumulation in minute-level response predictions with small time windows and small disturbances; at the same time, the addition of energy residuals avoids treating spurious decay as effective suppression, thereby improving the credibility of subsequent opportunity constraints.

[0092] Giving only a few predictions is insufficient to support the opportunity constraint. The calibration subset for multi-output AI meta-model Quantile calibration is performed to generate a multi-output confidence set conformal to the caliber of the machine-readable compliance rule. To balance cross-correlation and heteroscedasticity, an ellipsoidal confidence region is used to provide a simultaneous confidence set in the output space:

[0093] Where: confidence region Output the simultaneous confidence set, which is A bounded subset is used for worst-quantile substitution within chance constraints; output dimension : equals 7 ( ), where is a positive integer used to define the confidence set dimension; the predicted mean : The average of the multiple outputs is... Used for confidence region center; predicts covariance. : The output covariance is a symmetric positive definite matrix used to characterize the output coupling uncertainty; quantile threshold The Mahalanobis distance quantiles, obtained from the distribution of calibration residuals, are positive real numbers and are used to control the coverage probability. ; When using, the confidence region Multiple output uncertainties are incorporated in a coupled manner to avoid overly conservative or uncontrolled outcomes caused by setting independent limits for each indicator; the quantile thresholds are calibrated by real residuals rather than prior assumptions, ensuring compliance with machine-readable rules. - - Effective coverage under different calibers. To provide a joint confidence set that can be directly embedded with chance constraints, aligning probability-regulation-multi-output on the same geometry.

[0094] Minute-level decisions at the construction site need to simultaneously consider attenuation effects, construction feasibility, and compliance probability; candidate combination list Only two highly feasible sets are given. The starting point, true directional targeting, depends on partitioned micro-latency. With sequence detonation sequence Fine-tuning of frequency band energy and sector allocation. Without chance constraints, any superposition of reflections or abrupt changes in flow conditions could drastically increase the sound exposure level. or Crossing the line; without coordinated optimization, situations where the physical layer and the detonation network cancel each other out or become redundant will lead to resource waste and amplified risks. Therefore, the feasible domain of machine-readable compliance rules (RG) needs to be considered. , joint confidence set and The sets of distributed bars are coupled together to achieve optimality simultaneously across the three levels of value range, distribution, and engineering cost.

[0095] To avoid a single assumption about the residual distribution, a Wasserstein sphere is used. Describe the upper bound of the training-on-the-spot distribution drift, and express the chance constraints as the satisfaction probabilities under the worst-case distribution; objective function. The integrated planning incorporates the four indicators of the directional morphology index (SI) and the structure-water safety index, while also introducing implementation costs and sequence complexity penalties. The joint plan is written as:

[0096]

[0097] Where: feasible set Joint decision vector The engineering boundaries (equipment capabilities, micro-delay upper and lower limits, sequence validity) are closed sets, used for the outer boundary; weight vector : Scalar weights for each objective, which are non-negative and normalized, used for multi-objective aggregation; objective mapping :comprehensive and And implementation costs, assembling the model outputs (peak particle velocity, peak sound pressure, sound exposure level, isobaric surface leakage volume, sector deflection angle, closure degree, frequency band energy ratio, etc.) into optimizable scalars (such as weighted sums or vector objectives for Pareto search), for ; Feature constructor The baseline parent field low-rank coefficients, equivalent boundary admittance band-limited spectrum, micro-delay, and sequence permutation invariant embeddings are encoded as unified features. Probability operators Given a distribution The probability of the following event occurring; the probability of satisfying the chance constraint under the worst-case distribution.

[0098] constraint functions :Will The threshold of the machine-readable compliance rule RG is translated into an inequality, which is... Map the model output to constraints (e.g., apply an upper bound to each metric). Or take the energy ratio of non-target sectors (etc.); together with the threshold vector, they define the comparability relationship. .

[0099] Threshold vector The threshold (including frequency band-time window weights) defined by the machine-readable compliance rule RG is a positive real vector; the allowed out-of-bounds probability The tolerance level (quantification) for opportunity constraints is: ; Wasserstein ball Based on empirical distribution Center, radius The distribution set is a family of probability measures, used for debulking; hard-constrained projection. : Projection from the machine-readable compliance rule generator (RG) in Step 1, used to ensure that hard regulatory constraints are not exceeded; safety window Consistency deviation from step one The time-band safety margin set obtained by contraction is a closed set, used for conservative contraction when aperture is uncertain; sequence convex hull :sequence The birandom relaxation set (Birkhoff polyhedron) is convenient for continuous optimization and then projected into a permutation. It is a convex set and is used for sequence differentiability.

[0100] In practice, this program remains solvable under five coupled conditions: range uncertainty, distribution drift, hard regulatory constraints, time safety margin, and sequence legality. This is achieved through a two-layer approximation (the inner layer uses...). Alternative probability sets, sequences (Continuous processing) enables minute-level solutions; the output solution not only satisfies the chance constraint under the worst-case distribution, but also addresses caliber bias. There is explicit safety contraction.

[0101] Only give This is insufficient to establish a causal explanation for online monitoring-reordering / load reduction during the construction phase. Based on differentiability, for each micro-delay component Calculate its marginal contribution to the energy of a specified frequency band-sector and map it to a sensitivity spectrum. Based on this, the sequence Make minimal changes to the sorting and put The continuous variables are translated into discrete gears on the device side, forming the linkage instruction set V1.

[0102] Sensitivity is defined as:

[0103] Where: sensitivity Micro-delay For frequency band With sectors The marginal effect of energy, a real number, is used as the basis for generating sorting corrections and delay fine-tuning; frequency band. The selected focus bands for machine-readable compliance rules (RG definition or SI analysis) are non-empty compact sets. sector : Target or non-target angular domain (and (Conformal), is a subset of the unit sphere; Beamforming power spectrum : Observation geometry of arrays and The direction-frequency power obtained by the output field quantity is a non-negative real number used for energy distribution measurement; micro-delay component. The first blast of the network Each partition has a micro-delay; the value is taken from the upper and lower limits of the engineering range, and is used for fine engraving of sector and frequency band energy.

[0104] When in use, the sensitivity spectrum Establishing a direct differentiable relationship between frequency band energy-sector discharge and micro-delay-sequence allows the linkage instruction set V1 to have clear levers and knobs at the execution layer; during the construction period, when monitoring indicates specific... When there is a tendency to exceed the limit, the linkage instruction set V1 can be adjusted according to sensitivity. Quickly point to the micro-delay component that should be adjusted With detonation sequence Location-based monitoring enables minimal disturbance control for online surveillance.

[0105] Step 4: Failures in directional micro-blasting often stem from morphological-temporal coupling mismatch: Once the isobaric surface forms an external leakage funnel in a non-target sector, even if the overall frequency band energy is controlled, it may momentarily exceed the limit in a certain sector; simultaneously, the narrowband standing waves caused by strong reflections in shallow water will delay the micro-delay in the partition. A tiny bias is amplified into a considerable value. Drift. Therefore, prioritizing morphological deviations becomes a decision-making principle: first use the physical layer. Reversible parameters (gas supply intensity, zoning, particle size distribution, and geometric arrangement) reshape the spatial topology of energy flux, pending... Once within the acceptable range, then use partitioned micro-delay. / detonation sequence By carving frequency band allocation, the large-scale contradictions of geometry and energy and the small-scale contradictions of frequency band and phase are decoupled in layers.

[0106] This principle and sensitivity spectrum Natural Synergy: Sensitivity Mapping supply right The marginal impact of the hierarchical correction state machine (FSM) is then used to perform hierarchical-priority fine-tuning of the trajectory.

[0107] After each small-dose trigger of the batch TB test explosion, the hierarchical corrected state machine (FSM) combines the morphological observations (instantaneous isobaric surface, sector energy, and energy flux) returned by the modal monitoring network with... Registration is performed on minute-level predictions, defining morphological residual vectors and frequency band residual vectors, and using a unified standard. Internally solve a form-preferred minimum perturbation problem with a trust region:

[0108]

[0109] Where: Optimal increment The minimum perturbation correction of the joint decision vector is, in conjunction with... Same type vector, used for updating Weight The priority weight of the morphological item, satisfying , is non-negative and normalized, used to achieve form priority; local Jacobian : exist Correct indicators The derivative of is a row vector used for approximate linearization; residual The difference between observation and prediction, calculated according to the machine-readable compliance rules (RG caliber), is a real number used for error driving; L2 weights. Trust region regularization coefficients, which are positive real, are used to suppress excessive adjustments; feasible region projection. : The feasible domain of an engineering project under strict regulatory constraints, used to ensure compliance; safety window : Step-by-step consistency deviation Induced contraction window for conservative operation; sequence convex hull : Detonation sequence A continuous relaxation domain is used for differentiable solutions.

[0110] When used, this optimization is Focusing on large deviations in form, with Limit the scale of disturbances to achieve minimal changes in form factor and frequency band within the compliance domain and security window; Depend on This provides a way to avoid the high cost of full-level simulation back-substitution.

[0111] On the execution path, the hierarchical correction state machine (FSM) performs... Decomposed into physical layer increments With time-series layer increment and according to the degree of closure Not meeting the standard → Prioritize Bandwidth ratio Drift → Fine-tuning Still abnormal → sequence The logic of minimum swaps is implemented sequentially, thereby... Promote as .

[0112] To provide rapid and robust early warning of leakage volume and non-target sector energy within a short time window of a small-dose test explosion, a combination of sequential probability ratio testing and quantile tracking is employed: firstly, multimodal observations (according to...) are performed using a modal monitoring network... - - A statistical adversarial discrimination is performed on the projection to determine whether the data has been leaked or not. The cumulative log-likelihood is written as:

[0113] Where: log-likelihood cumulative : The discriminant statistic used in the sequential probability ratio test (SPRT), a real number, used to trigger reordering / downloading / pausing; weighting coefficient : Frequency band-sector importance weight, which is non-negative and normalized to one; Observation components At any moment of Projected energy or leaked proxy is a non-negative real number; alternative hypothesis / Nuclear hypothesis : Represents the leakage / non-leakage state respectively, used to distinguish between two types of operating conditions; Conditional density : From historical samples and The density model obtained after calibration is a positive density function.

[0114] When using it, log-likelihood accumulation Accelerates discrimination convergence under multi-band-multi-sector coupling, shortens decision time within the test detonation window, and benefits from weighting coefficients. The existence of this feature enables amplified response to critical sectors.

[0115] Secondly, to avoid sensitivity to extreme noise from a single mean or threshold, the upper quantile of energy / leakage volume in non-target sectors is tracked online to robustly characterize tail risk. :

[0116] Where: quantile estimation :time of Quantile estimation, consisting of non-negative real numbers, is used for tail risk threshold management; step size A decreasing positive sequence of positive real numbers that satisfies ; Indicator Function The mapping from Boolean to number is... ; Observation : The proxy time series of energy / leakage volume of non-target sectors, which are non-negative real numbers; quantile level Risk preference parameter; values ​​range from .

[0117] In use, quantile tracking enables the hierarchical corrected state machine (FSM) to remain sensitive to extreme over-leakage at the upper tail, while preventing overreaction to occasional noise; and When used in combination, it can quickly identify and robustly manage the tail end. Driven by both morphology-priority and sequential-quantile dual-engine approaches, it transforms small-dose test explosions into a targeted, structured learning-correction process, laying the parameter and evidence foundation for online monitoring.

[0118] Once the project enters the formal implementation phase, the slow drift of velocity profiles, tidal levels, and construction noise will alter the sector deflection angle. Compared with the frequency band energy ratio The balance point; temporary changes in local reflection conditions can also increase the sound exposure level. The risk of exceeding limits. Without a minimum disturbance-interpretable control law, suboptimal behavior such as excessive load reduction and ineffective reordering can easily occur, resulting in both project delays and no significant reduction in environmental risks. Therefore, step three... As a micro-lever, the detected out-of-bounds trend is directly mapped to a micro-delay component. Fine-tuning and detonation sequence The minimum exchange is performed; when the sensitivity space is irreversible or the margin is insufficient, the load is reduced or paused as a second-best option; the entire input-decision-output chain is simultaneously written back to KB for continuous calibration of the meta-model.

[0119] Within each scrolling window of the online guardian OG, the modal monitoring network is first used to monitor the network. Overboundary margin construction barrier error signal And select the corresponding sensitivity matrix (composed of the frequency band-sector sensitivity defined in step three) to perform minimum norm correction on the micro-delay:

[0120] Where: Optimal micro-delay increment : Partition micro-delay Online correction, for use with Same-type vector, used for quickly returning to the barrier; step size : Positive real number step size; value is determined by the safety window Adaptive shrinkage is used to control the correction magnitude; sensitivity matrix For all those who are interested Stacked The matrix is ​​a real matrix used to establish micro-delay components. A linear approximation of energy distribution; Tikhonov term Positive definite stabilization; Used to suppress pathological adverse reactions; barrier error signal The current power spectrum-angular domain excess vector relative to regulatory limits is a non-negative vector used to map out-of-bounds pressure to the control domain; the identity matrix. Dimensions and Match; no parameters.

[0121] In use, this control law achieves minimum disturbance backoff through least squares-barrier coordination, avoiding over-adjustment of the safe inner gear; when the sensitivity matrix When the rank is deficient, This ensures numerical stability, thereby providing interpretable and actionable results within a minute-level window. Correction.

[0122] When the optimal micro-delay increment In the security window The following is still not enough to make Back within the barrier, OG executes in a sequence of minimum exchange - load step degradation - pause: minimum exchange in sequence... The nearest feasible vertex in the model is the projection target, and the load degradation is based on the equivalent spectrum of the explosion source. The amplitude of the contraction is taken as the standard, and the pause is based on... and The combined threshold is the trigger. All actions are automatically written to CC, forming a synchronized record of action-evidence-result.

[0123] To avoid offline-online caliber drift, the observation-prediction-action triples within each scrolling window are incorporated into the KB, and the AI ​​metamodel objects are processed using exponential family mirror descent. Perform distributed incremental calibration, and simultaneously perform rolling alignment on the soft boundary weights of the machine-readable compliance rule machine (RG). The posterior update of the model is written as:

[0124] Where: posterior distribution : parameter The update distribution is a probability density function used for the carrier in online distillation; prior-current distribution. The parameter distribution from the previous step is used for memorization; the learning rate. : Positive real number, used to control the online calibration step size; loss In small batches On The physical consistency loss (isomorphic to step three) is a non-negative real number; mini-batch : Batch drawn from recent samples in the Knowledge Base KB (including , The directional morphological index SI and modal monitoring network (multimodal observation) are used for online training data.

[0125] When in use, this update protects historical knowledge with distributed mirroring while incorporating the latest test results and guard period evidence to avoid catastrophic amnesia; in parallel, the soft boundary penalty coefficient of the machine-readable compliance rule machine RG is... With security window Quantile estimation and The statistical parameters are continuously adjusted to ensure long-term alignment between the model and the rules.

[0126] Those skilled in the art will recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.

[0127] Those skilled in the art will understand that, for the sake of convenience and brevity, the specific working processes of the systems, devices, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here.

[0128] In the several embodiments provided in this application, it should be understood that the disclosed systems, apparatuses, and methods can be implemented in other ways. For example, the apparatus embodiments described above are merely illustrative; for instance, the division of units is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another system, or some features may be ignored or not executed. Furthermore, the coupling or direct coupling or communication connection shown or discussed may be through some interfaces; the indirect coupling or communication connection between apparatuses or units may be electrical, mechanical, or other forms.

[0129] The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the units can be selected to achieve the purpose of this embodiment according to actual needs.

[0130] The above description is merely a specific embodiment of this application, but the scope of protection of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in this application should be included within the scope of protection of this application. Therefore, the scope of protection of this application should be determined by the scope of the claims.

Claims

1. A digital twin-AI prediction-driven directional micro-blasting system for cofferdams, characterized in that: include, Construct a multi-domain digital twin, establish the coupling of shallow water acoustics, seismic motion and cofferdam structure, compile marine and transportation calibers into machine-readable compliance rules, integrate underwater acoustic / vibration observations to form a baseline field and verify the caliber; Based on the baseline field, the isobaric surface leakage volume, sector deflection angle, closure degree, and frequency band energy ratio are defined. The bubble curtain, flow guide curtain, top cover, and buffer medium are abstracted as switchable physical layers. Two candidate combinations are pre-selected in multiple flow conditions and reflection fields. The multi-output model is trained using the above examples and actual tests. The above indicators and uncertainties are predicted with the same caliber. The feasible region is determined by superimposing the rule machine hard constraints with the chance constraints. The physical layer and the detonation network are optimized in a coordinated manner, and the coordinated commands and sensitivity spectrum are output. Perform a small-dose test explosion and execute it in a closed-loop manner using a layered correction state machine: prioritize the adjustment of the physical layer for morphological deviations, and fine-tune the frequency band drift and delay; combine sequential ratio verification and quantile tracking to trigger online protection to change the sequence, reduce load or pause, generate a test explosion compliance card and write back the twin and meta-model.

2. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 1, characterized in that: The method adopts a port Hamiltonian approach to unify the sound pressure of the water area, soil displacement, and cofferdam structure displacement. It sets up power conservation at the water structure interface and energy flux audit of the absorption layer. The baseline field is generated by assimilating the multimodal observations of the monitoring network using a combination of Kalman and short-window variational methods. The monitoring network includes a hydrophone array, shore-based vibration, distributed fiber acoustics, and fiber optic gratings or optical frequency domain reflection channels. The assimilation output is solidified into a versioned baseline field after aperture consistency verification.

3. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 2, characterized in that: The machine-readable compliance rule machine discretizes the marine mammal and transportation department guidelines into a dictionary of frequency bands, time windows, and species weights, establishes exposure levels and peak sound pressure threshold sets, and forms a feasible region with the parameter space. It also provides a projection operator with metrics and a versioned rule set for subsequent steps to read. The rule machine stores the clause identifier, frequency band set, time window set, and threshold in the form of a keyed table, and registers the parameter metric matrix for unified reading in subsequent projection and optimization.

4. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 3, characterized in that: Instantaneous isobaric surfaces are generated by fusing array time delay inversion with the baseline field. The leakage volume, sector deflection angle, closure degree, and frequency band energy ratio of the isobaric surfaces are calculated under unified coordinates and regular machine aperture. The threshold and bandwidth are determined by regular machine inversion and adaptive bandwidth. The array geometry and instrument response are incorporated into the observation operator. The isobaric surface reconstruction and azimuth energy are achieved by the same filter family. The morphological indicators are referenced in each step with unified labels.

5. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 4, characterized in that: The switchable physical layer parameters are recursively derived to obtain the equivalent boundary admittance through a multi-layer boundary transfer matrix. The parameters include the number of rings, partitions, gas supply, particle size distribution and geometric arrangement, and the thickness of the guide curtain and top cover is modeled. After combining the flow velocity profile correction, it is used for multi-condition simulation and pre-selection of two sets of candidate combinations. The equivalent boundary admittance is injected into the twin dissipation and interconnection operator boundary block to form a differentiable loading interface, and the non-uniform arrangement is loaded and managed according to spatial segmentation.

6. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 5, characterized in that: A unified feature consisting of the baseline field low-rank coefficients, the equivalent admittance band-limited spectrum, and the initiation network parameters is constructed, and a multi-output element model is trained using physical consistency regularization and derivative consistency constraints. The model outputs the mean and covariance of multiple indicators with the same caliber and provides them for chance constraint calls. The unified feature uses permutation-invariant encoding to represent the detonation sequence and low-rank embedding to preserve spatial field information. The covariance output by the model is adaptively adjusted with the feature, forming a minute-level queryable interface.

7. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 6, characterized in that: The opportunity constraints describe the distribution drift using a Wasserstein uncertainty set based on the empirical distribution, and set probability budgets for the environment, structure, and geometry, jointly optimizing the micro-delay and sequence of the switchable physical layer and the detonation network. The decision vector is composed of convex relaxation representations of continuous variables of the physical layer and discrete variables of the detonation sequence, and is projected onto the feasible region and the safety window. The optimization is solved in the form of multi-objective aggregation, and the output variable activation set is consistent with the sensitivity spectrum.

8. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 7, characterized in that: The small-dose test explosion is executed by a layered correction state machine. The switchable physical layer is adjusted first according to the priority order of morphological deviation, and then the micro-delay and detonation sequence are fine-tuned. If it is still abnormal, the low-disturbance process is switched, and a test explosion compliance card and instruction version update are generated in the feasible domain of the rule machine. The low-disturbance process includes mechanical cutting or splitting, and the state machine records the input, adjustment amount and version information at each step. The test explosion compliance card includes frequency band and sector indexes for traceability.

9. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 8, characterized in that: The online monitoring constructs a barrier error signal based on the monitoring residuals of frequency bands and sectors, and solves the minimum norm micro-delay correction and regularization based on the sensitivity spectrum. When the correction is insufficient, the detonation sequence minimum exchange, equivalent spectrum amplitude step-down and pause are executed sequentially. The trigger threshold is given by the sequential ratio test and quantile tracking. The online guardian records the micro-delay modification history and sequence exchange position, and binds the monitoring trajectory and control commands with the same timestamp and coordinate system.

10. The digital twin-AI prediction-driven directional micro-blasting system for cofferdams as described in claim 9, characterized in that: The knowledge write-back process stores the working condition identifier, the baseline field, the switchable physical layer and detonation network parameters, morphological indicators, original monitoring trajectory, meta-model output and instruction version, and action records into the database. It also updates the meta-model parameters using incremental Bayesian variational methods and simultaneously adjusts the rule machine soft boundary and time-frequency band safety window. The knowledge base is managed using a unified data model and includes the version number of the model and rules and training summary. After the write-back is completed, it triggers the instruction version rolling generation and interface consistency check process.

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