Method for determining a concentration of solid particles

1. A method for determining a concentration of a plurality of solid particles in a drilling fluid, wherein the method comprises:

/a/ receiving a dimension of a section of a fracture;

/b/ receiving at least a current concentration of solid particles in the drilling fluid;

/c/ determining, based on the received dimension, a plurality of wirelines, each determined wireline having a diameter;

/d/ for each current wireline in the determined wirelines:

/d1/ determining if a solid particle or a part of a fluid is in the current wireline based at least on the current concentration;

/d2/ if it is determined in step /d1/ that a solid particle is in the current wireline, determining whether the current wireline is sealed;

/d3/ reiterating steps /d1/, /d2/ and /d3/ based on a reiteration criterion;

/e/ determining a volume of an injected fluid into the fracture based on iterations of step /a/ where it is determined that a part of a fluid is in the current wireline;

/f/ comparing said determined volume with a reference to determine if a fracturing criterion is met;

/g/ if the fracturing criterion is met, modifying at least the current concentration of solid particles in the drilling fluid and reiterating steps /c/, /d/, /e/, /f/ and /g/ ;

/h/ if the fracturing criterion is not met, outputting the current concentration of solid particles in the drilling fluid.

2. The method according to claim 1 , wherein a sum of surfaces of sections of the wirelines is equal to a surface of the section of the fracture.

3. The method according to claim 1 , wherein the method further comprises:

receiving a distribution of a dimension of solid particles in the drilling fluid;

and wherein the determination of step /d1/ is further based on the received distribution.

4. The method according to claim 1 , wherein the determination of step /d2/ comprise the determination of a dimension of the solid particle in the wireline.

5. The method according to claim 4 , wherein the wireline is determined to be sealed if the determined dimension of the solid particle in the wireline is higher than a predetermined value function of the diameter of current wireline.

6. The method according to claim 4 , wherein the wireline is determined to be sealed if the determined dimension of the solid particle in the wireline is within a predetermined interval around the diameter of current wireline.

7. The method according to claim 1 , wherein the wireline is determined to be sealed if a number of solid particles determined to be in the current wireline and matching a blocking criterion is above a predetermined value.

8. The method according to claim 1 , wherein the reiteration criterion comprises at least one condition in the following conditions:

if the wireline is determined to be sealed;

if the number of reiterations for a current wireline exceeds a predetermined value;

if the number of reiterations for all wirelines exceeds a predetermined value.

9. The method according to claim 1 , wherein the determination of the volume of step /e/ is based on a number of iterations of step /a/ where it is determined that a part of a fluid is in the current wireline and based on a unitary volume that is injected for a single iteration.

10. The method according to claim 1 , wherein the fracturing criterion comprises at least one condition in the following conditions:

if the determined volume is higher than a predetermined volume;

if the derivative of the determined volume is higher than a predetermined value;

if the derivative of the determined volume is higher than a predetermined value for iterations higher than a given iteration number.

11. A non-transitory computer readable storage medium, having stored thereon a computer program comprising program instructions, the computer program being loadable into a data-processing unit and adapted to cause the data-processing unit to carry out the steps of claim 1 when the computer program is run by the data-processing device.