Techniques for developing a hydrocarbon well employing hydraulic fracturing, including determining a geometric signature of a bi-wing hydraulic fracture of the well, including a fracture height (h.sub.f), half-length (X.sub.f) and width (w.sub.f) of the fracture, determining fracture model parameters for the fracture, including a stimulated cell width (D.sub.y), length (D.sub.x), and width (n), determining a fracture conductivity diluting factor (FCDF) for the bi-wing hydraulic fracture based on the geometric signature and the fracture model parameters, applying the FCDF to a fracture permeability (K.sub.f) to determine a model permeability (K.sub.fm) for the fracture, and determining a reservoir model of the reservoir that includes the model permeability (K.sub.fm) associated with the cells of the reservoir model that represent a region of the hydrocarbon reservoir that corresponds to the location of the hydraulic fracture.

Disclosed is a method for evaluating computational fluid dynamic simulation results. The method includes: performing at least two baseline runs of a simulated area or volume containing a first vehicle body shape using a set of initial conditions, performing a change run using a second vehicle body using the set of initial conditions, creating a noise map based on differences between the second baseline run and the first baseline run, creating a change map based on differences between the change run and a selected baseline run, and comparing the change map to the noise map.

A method for partitioning a search direction when using least squares reverse time migration (LSRTM) is provided. LSRTM may be used iteratively in order to improve imaging accuracy. As part of LSRTM, multiple local line searches may be performed. In particular, image space may be partitioned, such as by using a set of masks. The search direction, such as the gradient, may be partitioned using the set of masks. Local line searches may be performed for each partition of the search direction, resulting in finding respective line search constants. The respective line search constants may then be used for iterating the model in order to improve imaging accuracy.

Methods, systems, and apparatus for producing CCZ states and T states. In one aspect, a method for distilling a CCZ state includes preparing multiple target qubits, ancilla qubits and stabilizer qubits in a zero state, performing an X gate for each stabilizer qubit on multiple ancilla qubits or multiple ancilla qubits and one of the target qubits using the stabilizer qubit as a control, measuring the stabilizer qubits, performing, on each of the ancilla qubits, a Z.sup.1/4 gate and a Hadamard gate, measuring each of the ancilla qubits, performing, conditioned on each measured ancilla qubit state, a NOT operation on a selected stabilizer qubit, or a NOT operation on the selected stabilizer qubit and a Z gate on one or more respective target qubits, performing, on each target qubit and conditioned on a measured state of a respective stabilizer qubit, a Z gate on the target qubit, and performing an X gate on each of the target qubits.

A method may include obtaining grid model data for a geological region of interest and well data for various wells in the geological region of interest. A well among the wells may correspond to a simulated well network in a reservoir simulation. The method may further include determining, based on the grid model data and the well data, a first simulation solution for a first constraint rate equation decoupled from the simulated well network and using a first search method. The method may further include determining, based on the grid model data, the well data, and the first simulation solution, a second simulation solution for a second constraint rate equation coupled to the simulated well network and using a second search method. The method may further include performing, based on the grid model data, and the second simulation solution, the reservoir simulation.

Systems and methods of modeling the structure and behavior of the quantum continuum based on geometrical principles are provided. In some embodiments, systems and methods of modeling quantum structure and behavior may include modeling a region of space as a three-dimensional projection of a field of N-dimensional hard-spheres, modeling a stable particle within the region of space as a locally stably packed set of hard-spheres, defining an energy subspace comprising one or more additional dimensions, and modeling an energy of the stable particle as an amount of hard-sphere geometry shifted out of the three spatial dimensions into the energy subspace sufficient for the set of hard-spheres to pack stably. Systems and methods for modeling virtual particles and performing quantum communication are also described.

A method and an apparatus for setting an evacuation exit under a crowd emergency evacuation scenario are provided. A simulation model is constructed based on a social force model, and a behavior parameter of an evacuating crowd under the crowd emergency evacuation scenario is obtained by a numerical approximation method with actual trajectory data of individuals in the evacuating crowd under a specific emergency evacuation scenario as a reference; an evacuation exit set is set, an integer programming solution for evacuation exit decision under the emergency evacuation scenario is constructed, and a total evacuation cost of the evacuation exit is obtained based on the simulation model; and reduction of the total evacuation cost is taken as an optimization target to construct an emergency evacuation optimization model based on constraint conditions, and the emergency evacuation optimization model is solved to obtain a recommended integer programming solution for evacuation exit decision.

A method and a system for simulating contact and interaction between a support member and a chamber surrounding rock mass are provided in the application. The method includes: obtaining a support scheme of a roadway to be simulated, dividing the roadway to be simulated based on the support scheme to obtain several roadway sections; obtaining physical and mechanical parameters of each rock stratum in each roadway section and an occurrence state of the roadway surrounding rock; constructing particle flow numerical models corresponding to the roadway section; through the particle flow numerical models of every two adjacent roadway sections, obtaining a particle flow meso-structural evolution model of the roadway to be simulated; obtaining meso-mechanical parameters of the roadway to be simulated based on the particle flow numerical models, calibrating the meso-mechanical parameters through the physical and mechanical parameters, establishing the particle flow meso-structural evolution model of the roadway to be simulated.

A method for obtaining a maximum horizontal stress at a depth of a geological formation, includes: setting an estimate S.sub.Hmax of the maximum horizontal stress; conducting an elastoplastic modeling simulation of the geological formation around a wellbore with the estimate S.sub.Hmax and obtaining a simulated value ?.sub.b,1 of a breakout angle, wherein the breakout angle is a half-width of a breakout region; and upon determining that the estimate ?.sub.b,1 is greater than or equal to a prescribed value and is different from a measured breakout angle ?.sub.b,m at the depth by more than a threshold value, repeatedly changing the estimate S.sub.Hmax and conducting the elastoplastic modeling simulation.

Systems and methods are described for modeling and analyzing utility structures according to applied loads. Particularly, a model engine can utilize inputs related to a utility structure, environmental conditions to which the utility structure is subjected, and engineering standards expected of the utility structure, and analyze the structure's loading and performance based on analysis configuration inputs. An engine or multiple engines can be run locally, or can be instantiated in a cloud to assist with multiple or complex calculations. Hybrid and geometric non-linear analyses and outputs can be performed or provided.