Abstract: A method is disclosed for modelling low or high compressibility fluid flows in a multilayer porous medium crossed by a network of fractures of given geometry, unevenly distributed in the medium, some of the fractures communicating with one another. Each fractured layer is defined by means of a grid pattern comprising fracture grid cells centered on nodes either at the fracture intersections or at the fracture ends. Each node is associated with a matrix block including all the points closer thereto than to neighboring nodes, and the local flows between each fracture grid cell and the associated matrix volume are calculated in a pseudosteady state. A modelling equation whose form is similar to the diffusion equation solved in conventional cases (low compressibility fluids) allows accounting for the compressibility of the fluids.

Abstract: A method of generating a hybrid grid of a heterogeneous formation crossed by one or more geometric discontinuities such as, for example, an underground formation where one or more wells have been drilled, or a fractured formation, by combining structured grids and non-structured grids in order to carry out simulations in accordance with a defined numerical pattern is disclosed. Hybrid gridding is performed by associating a first structured grid (G1) for gridding of the heterogeneous medium considering discontinuities thereof with second structured, radial type grids (G2) for gridding of a zone around each pipe or well, which allows better consideration of constraints linked with flows in the zone. In order to connect the first grid of the medium and the second well grids, non-structured transition grids (G3) are interposed there between. A power diagram technique is used, which is particularly advantageous in that it allows appropriate connection of non-regular structured grids.

Abstract: A method for modelling flows in a fractured medium crossed by a network of fluid conducting objects of definite geometry but not homogenizable on the scale of each grid cell of the model (large fractures, sub-seismic faults for example, very permeable sedimentary layers, etc.) which has an application in the evaluation of hydrocarbon reservoirs is disclosed. The method allows simulation fluid of flows in a fractured porous geologic medium of known structure that is discretized with a grid and modelled by considering that each elementary volume of the fractured geologic medium is an equivalent fracture medium and matrix medium on the scale of each cell between which fluid exchanges are determined. The method determines exchanges between the matrix medium and the fracture medium, and modeles the transmissivities of the various cells crossed by each conducting object, so that the resulting transmissivity corresponds to the direct transmissivity along each conducting object.

Abstract: A method of generating a hybrid grid allowing modelling of a heterogeneous formation crossed by one or more pipes such as, for example, an underground formation where one or more wells have been drilled, in order to form a representative model, for example of fluid flows in the formation in accordance with a defined numerical pattern is disclosed. The method comprises associating a first structured grid for gridding of the heterogeneous medium regarding discontinuities thereof with a second structured, radial type grid for gridding of a zone around each pipe or well, which allows better constraints linked with flows in the zone, and transition of non-structured grids that are interposed between the first grid and each second well grid.

Abstract: A method is disclosed for modelling fluid flows in a fractured multilayer porous medium by accounting for the real geometry of the fracture network and the local exchanges between the porous matrix and the fractures at each node of the network, thus allowing simulation of the interactions between the pressure and flow rate variations in a well running across the medium. The method essentially comprises discretizing the fractured medium by means of a mesh pattern, with fracture meshes centered on nodes at the various intersections of the fractures with each node being associated with a matrix volume, and determination of the flows between each fracture mesh and the associated matrix volume in a pseudosteady state. The method can be applied in hydrocarbon production well testing.

Abstract: A method is disclosed for modelling low or high compressibility fluid flows in a multilayer porous medium crossed by a network of fractures of given geometry, unevenly distributed in the medium, some of the fractures communicating with one another. Each fractured layer is defined by means of a grid pattern comprising fracture grid cells centred on nodes either at the fracture intersections or at the fracture ends. Each node is associated with a matrix block including all the points closer thereto than to neighbouring nodes, and the local flows between each fracture grid cell and the associated matrix volume are calculated in a pseudosteady state. A modelling equation whose form is similar to the diffusion equation solved in conventional cases (low compressibility fluids) allows accounting for the compressibility of the fluids.

Abstract: Method of generating a hybrid grid of a heterogeneous formation crossed by one or more geometric discontinuities such as, for example, an underground formation where one or more wells have been drilled, or a fractured formation, by combining structured grids and non-structured grids in order to carry out simulations in accordance with a defined numerical pattern.

Abstract: Method for modelling flows in a fractured medium crossed by a network of fluid conducting objects of definite geometry but not homogenizable on the scale of each grid cell of the model (large fractures, sub-seismic faults for example, very permeable sedimentary layers, etc.).

Abstract: Method of generating a hybrid grid allowing modelling of a heterogeneous formation crossed by one or more pipes such as, for example, an underground formation where one or more wells have been drilled, in order to form a representative model for example of fluid flows in this medium in accordance with a defined numerical pattern.

Abstract: A method of exploring a heterogeneous geological porous original medium, such as a reservoir crossed by an irregular network of fractures, by means of a transposed medium be equivalent to the original medium with respect to a determined type of physical transfer function known for the original medium.

Abstract: Method for determining the equivalent fracture permeability of a fracture network in a subsurface multi-layered medium from a known representation of this network. The equivalent fracture permeability of a fractured network in a subsurface multi-layered medium, is determined by discretizing with a specific procedure each fracture (F) of the fracture network in fracture elements (R) (such as rectangles for example) and defining nodes N representing interconnected fracture elements in each layer of the medium and determining fluid flows (steady-state flows e.g.) through the discretized network while imposing boundary pressure conditions and fluid transmissivities to each couple of neighboring nodes. The method allows for a systematic linking of fractured reservoir characterization models with dual-porosity simulators in order to create a more realistic modeling of a fractured subsurface geological structure.