# Material point method modeling in oil and gas reservoirs

## Abstract

A computer system and method of simulating the behavior of an oil and gas reservoir including changes in the margins of frangible solids. A system of equations including state equations such as momentum, and conservation laws such as mass conservation and volume fraction continuity, are defined and discretized for at least two phases in a modeled volume, one of which corresponds to frangible material. A material point model technique for numerically solving the system of discretized equations, to derive fluid flow at each of a plurality of mesh nodes in the modeled volume, and the velocity of at each of a plurality of particles representing the frangible material in the modeled volume. A time-splitting technique improves the computational efficiency of the simulation while maintaining accuracy on the deformation scale. The method can be applied to derive accurate upscaled model equations for larger volume scale simulations.

- Inventors:

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1259454

- Patent Number(s):
- 9,378,310

- Application Number:
- 13/649,655

- Assignee:
- Los Alamos National Security, LLC (Los Alamos, NM) LANL

- DOE Contract Number:
- AC52-06NA25396

- Resource Type:
- Patent

- Resource Relation:
- Patent File Date: 2012 Oct 11

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; 58 GEOSCIENCES; 02 PETROLEUM; 03 NATURAL GAS; 04 OIL SHALES AND TAR SANDS

### Citation Formats

```
Vanderheyden, William Brian, and Zhang, Duan.
```*Material point method modeling in oil and gas reservoirs*. United States: N. p., 2016.
Web.

```
Vanderheyden, William Brian, & Zhang, Duan.
```*Material point method modeling in oil and gas reservoirs*. United States.

```
Vanderheyden, William Brian, and Zhang, Duan. Tue .
"Material point method modeling in oil and gas reservoirs". United States.
doi:. https://www.osti.gov/servlets/purl/1259454.
```

```
@article{osti_1259454,
```

title = {Material point method modeling in oil and gas reservoirs},

author = {Vanderheyden, William Brian and Zhang, Duan},

abstractNote = {A computer system and method of simulating the behavior of an oil and gas reservoir including changes in the margins of frangible solids. A system of equations including state equations such as momentum, and conservation laws such as mass conservation and volume fraction continuity, are defined and discretized for at least two phases in a modeled volume, one of which corresponds to frangible material. A material point model technique for numerically solving the system of discretized equations, to derive fluid flow at each of a plurality of mesh nodes in the modeled volume, and the velocity of at each of a plurality of particles representing the frangible material in the modeled volume. A time-splitting technique improves the computational efficiency of the simulation while maintaining accuracy on the deformation scale. The method can be applied to derive accurate upscaled model equations for larger volume scale simulations.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Jun 28 00:00:00 EDT 2016},

month = {Tue Jun 28 00:00:00 EDT 2016}

}